{
  "mode": "linear-system-comparison-workflow",
  "implementation_kind": "linear-system-solver-comparison",
  "truth_contract": {
    "workflow": "linear-system-comparison-workflow",
    "target": "positive-definite linear-system solver comparison",
    "implementation_kind": "dense-spectral-polynomial-workflow",
    "truth_status": "validated_polynomial_core",
    "is_end_to_end_quantum_algorithm": false,
    "implemented_components": [
      "input_validation",
      "spectral_rescaling",
      "bounded_polynomial_design_or_application",
      "dense_classical_spectral_reference",
      "numerical_error_diagnostics"
    ],
    "conditional_qsvt_statement": "If a valid block encoding and input-state preparation are supplied, a compatible bounded polynomial is the QSVT-transform core for this target.",
    "pennylane_qsvt_check": "not_attempted",
    "assumed_quantum_components": [
      "block_encoding_construction",
      "input_state_preparation_or_data_loading",
      "success_probability_management",
      "measurement_or_readout_strategy"
    ],
    "omitted_quantum_costs": [
      "block_encoding_query_cost",
      "state_preparation_cost",
      "amplitude_amplification",
      "amplitude_estimation_or_tomography",
      "fault_tolerant_synthesis",
      "error_correction",
      "hardware_compilation"
    ],
    "validation_scope": "The report validates numerical agreement between the polynomial workflow and a dense classical reference for the supplied finite instance.",
    "research_use": "Use this report to study approximation error, degree scaling, conditioning, spectral gaps, and proxy resources before making separate assumptions about quantum data access."
  },
  "rows": [
    {
      "solver": "dense_solve",
      "implementation_kind": "classical-dense-reference",
      "residual_norm": 5.551115123125783e-17,
      "relative_solution_error": 0.0,
      "condition_number_2": 1.7675918792439982
    },
    {
      "solver": "conjugate_gradient",
      "implementation_kind": "classical-iterative-reference",
      "iterations": 2,
      "converged": true,
      "residual_norm": 5.551115123125783e-17,
      "relative_residual_norm": 4.965068306494546e-17,
      "relative_solution_error": 0.0,
      "condition_number_2": 1.7675918792439982
    },
    {
      "solver": "qsvt_style_polynomial_inverse",
      "implementation_kind": "dense-spectral-polynomial-workflow",
      "degree": 8,
      "gamma": 0.5657414540893352,
      "residual_norm": 0.05755331838177459,
      "relative_solution_error": 0.057179605843630084,
      "condition_number_2": 1.7675918792439982
    }
  ],
  "reference_solution": {
    "real": [
      0.5641025641025641,
      -0.5128205128205128
    ],
    "imag": [
      0.0,
      0.0
    ]
  },
  "dense_solution": {
    "real": [
      0.5641025641025641,
      -0.5128205128205128
    ],
    "imag": [
      0.0,
      0.0
    ]
  },
  "cg_solution": {
    "real": [
      0.5641025641025641,
      -0.5128205128205128
    ],
    "imag": [
      0.0,
      0.0
    ]
  },
  "linear_system_workflow": {
    "mode": "linear-system-workflow",
    "implementation_kind": "dense-spectral-polynomial-workflow",
    "truth_contract": {
      "workflow": "linear-system-workflow",
      "target": "positive-definite linear-system inverse action",
      "implementation_kind": "dense-spectral-polynomial-workflow",
      "truth_status": "validated_polynomial_core",
      "is_end_to_end_quantum_algorithm": false,
      "implemented_components": [
        "input_validation",
        "spectral_rescaling",
        "bounded_polynomial_design_or_application",
        "dense_classical_spectral_reference",
        "numerical_error_diagnostics"
      ],
      "conditional_qsvt_statement": "If a valid block encoding and input-state preparation are supplied, a compatible bounded polynomial is the QSVT-transform core for this target.",
      "pennylane_qsvt_check": "not_attempted",
      "assumed_quantum_components": [
        "block_encoding_construction",
        "input_state_preparation_or_data_loading",
        "success_probability_management",
        "measurement_or_readout_strategy"
      ],
      "omitted_quantum_costs": [
        "block_encoding_query_cost",
        "state_preparation_cost",
        "amplitude_amplification",
        "amplitude_estimation_or_tomography",
        "fault_tolerant_synthesis",
        "error_correction",
        "hardware_compilation"
      ],
      "validation_scope": "The report validates numerical agreement between the polynomial workflow and a dense classical reference for the supplied finite instance.",
      "research_use": "Use this report to study approximation error, degree scaling, conditioning, spectral gaps, and proxy resources before making separate assumptions about quantum data access."
    },
    "gamma": 0.5657414540893352,
    "scaled_min_eigenvalue": 0.5657414540893352,
    "scaled_max_eigenvalue": 1.0,
    "condition_number_2": 1.7675918792439982,
    "gamma_condition_proxy": 1.767591879243998,
    "degree": 8,
    "coeffs": [
      0.9809419236913728,
      0.012459086049589323,
      0.26709298872817416,
      0.13049637776907144,
      -1.3144797709256606,
      -1.238589664531808,
      0.958472018777312,
      0.9003641271834388,
      -0.10879439519122562
    ],
    "scaled_operator": {
      "matrix": {
        "real": [
          [
            0.963533202516514,
            0.12044165031456425
          ],
          [
            0.12044165031456425,
            0.6022082515728212
          ]
        ],
        "imag": [
          [
            0.0,
            0.0
          ],
          [
            0.0,
            0.0
          ]
        ]
      },
      "offset": 0.0,
      "scale": 2.0756939094329985,
      "eigenvalue_bounds": [
        1.1743060905670013,
        2.0756939094329985
      ]
    },
    "rhs": {
      "real": [
        1.0,
        -0.5
      ],
      "imag": [
        0.0,
        0.0
      ]
    },
    "classical_solution": {
      "real": [
        0.5641025641025641,
        -0.5128205128205128
      ],
      "imag": [
        0.0,
        0.0
      ]
    },
    "polynomial_solution": {
      "real": [
        0.5669912804061872,
        -0.4693247452416464
      ],
      "imag": [
        0.0,
        0.0
      ]
    },
    "polynomial_residual_norm": 0.05755331838177459,
    "polynomial_relative_error": 0.057179605843630084,
    "qsvt_solution": null,
    "qsvt_residual_norm": null,
    "qsvt_relative_error": null,
    "qsvt_error": null,
    "diagnostics": {
      "domain": [
        0.5657414540893352,
        1.0
      ],
      "fit_domain": [
        0.5657414540893352,
        1.0
      ],
      "num_points": 201,
      "fit_num_points": 201,
      "bounded_domain": [
        -1.0,
        1.0
      ],
      "bounded_num_points": 401,
      "bound": 1.0,
      "xs": [
        0.5657414540893352,
        0.5679127468188885,
        0.5700840395484418,
        0.5722553322779952,
        0.5744266250075485,
        0.5765979177371018,
        0.5787692104666551,
        0.5809405031962085,
        0.5831117959257618,
        0.5852830886553151,
        0.5874543813848684,
        0.5896256741144218,
        0.5917969668439751,
        0.5939682595735284,
        0.5961395523030817,
        0.5983108450326351,
        0.6004821377621884,
        0.6026534304917417,
        0.604824723221295,
        0.6069960159508483,
        0.6091673086804017,
        0.611338601409955,
        0.6135098941395083,
        0.6156811868690616,
        0.617852479598615,
        0.6200237723281683,
        0.6221950650577216,
        0.6243663577872749,
        0.6265376505168283,
        0.6287089432463816,
        0.6308802359759349,
        0.6330515287054882,
        0.6352228214350415,
        0.6373941141645949,
        0.6395654068941482,
        0.6417366996237015,
        0.6439079923532549,
        0.6460792850828082,
        0.6482505778123615,
        0.6504218705419148,
        0.6525931632714681,
        0.6547644560010215,
        0.6569357487305748,
        0.6591070414601281,
        0.6612783341896814,
        0.6634496269192347,
        0.6656209196487881,
        0.6677922123783414,
        0.6699635051078947,
        0.6721347978374481,
        0.6743060905670014,
        0.6764773832965547,
        0.678648676026108,
        0.6808199687556613,
        0.6829912614852147,
        0.685162554214768,
        0.6873338469443213,
        0.6895051396738746,
        0.6916764324034279,
        0.6938477251329813,
        0.6960190178625346,
        0.6981903105920879,
        0.7003616033216413,
        0.7025328960511946,
        0.7047041887807479,
        0.7068754815103012,
        0.7090467742398545,
        0.7112180669694079,
        0.7133893596989612,
        0.7155606524285145,
        0.7177319451580679,
        0.7199032378876212,
        0.7220745306171745,
        0.7242458233467278,
        0.7264171160762811,
        0.7285884088058345,
        0.7307597015353878,
        0.7329309942649411,
        0.7351022869944944,
        0.7372735797240477,
        0.7394448724536011,
        0.7416161651831544,
        0.7437874579127077,
        0.7459587506422611,
        0.7481300433718144,
        0.7503013361013677,
        0.752472628830921,
        0.7546439215604743,
        0.7568152142900277,
        0.758986507019581,
        0.7611577997491343,
        0.7633290924786876,
        0.7655003852082409,
        0.7676716779377943,
        0.7698429706673476,
        0.7720142633969009,
        0.7741855561264543,
        0.7763568488560076,
        0.7785281415855609,
        0.7806994343151142,
        0.7828707270446675,
        0.785042019774221,
        0.7872133125037742,
        0.7893846052333275,
        0.791555897962881,
        0.7937271906924341,
        0.7958984834219875,
        0.7980697761515408,
        0.8002410688810941,
        0.8024123616106476,
        0.8045836543402008,
        0.8067549470697541,
        0.8089262397993074,
        0.8110975325288607,
        0.8132688252584142,
        0.8154401179879674,
        0.8176114107175207,
        0.8197827034470742,
        0.8219539961766273,
        0.8241252889061808,
        0.826296581635734,
        0.8284678743652873,
        0.8306391670948408,
        0.8328104598243941,
        0.8349817525539474,
        0.8371530452835008,
        0.839324338013054,
        0.8414956307426074,
        0.8436669234721607,
        0.845838216201714,
        0.8480095089312674,
        0.8501808016608206,
        0.852352094390374,
        0.8545233871199273,
        0.8566946798494806,
        0.858865972579034,
        0.8610372653085873,
        0.8632085580381406,
        0.865379850767694,
        0.8675511434972472,
        0.8697224362268006,
        0.8718937289563539,
        0.8740650216859072,
        0.8762363144154606,
        0.8784076071450139,
        0.8805788998745672,
        0.8827501926041205,
        0.8849214853336738,
        0.8870927780632272,
        0.8892640707927805,
        0.8914353635223338,
        0.8936066562518872,
        0.8957779489814404,
        0.8979492417109938,
        0.9001205344405471,
        0.9022918271701004,
        0.9044631198996538,
        0.9066344126292071,
        0.9088057053587604,
        0.9109769980883138,
        0.913148290817867,
        0.9153195835474204,
        0.9174908762769737,
        0.919662169006527,
        0.9218334617360804,
        0.9240047544656336,
        0.926176047195187,
        0.9283473399247403,
        0.9305186326542936,
        0.932689925383847,
        0.9348612181134003,
        0.9370325108429536,
        0.939203803572507,
        0.9413750963020602,
        0.9435463890316136,
        0.9457176817611669,
        0.9478889744907202,
        0.9500602672202736,
        0.9522315599498268,
        0.9544028526793802,
        0.9565741454089335,
        0.9587454381384868,
        0.9609167308680402,
        0.9630880235975935,
        0.9652593163271468,
        0.9674306090567002,
        0.9696019017862534,
        0.9717731945158068,
        0.9739444872453601,
        0.9761157799749134,
        0.9782870727044668,
        0.9804583654340201,
        0.9826296581635734,
        0.9848009508931267,
        0.98697224362268,
        0.9891435363522334,
        0.9913148290817867,
        0.99348612181134,
        0.9956574145408934,
        0.9978287072704466,
        1.0
      ],
      "target_values": [
        1.0,
        0.9961767142193663,
        0.992382552118901,
        0.9886171821890588,
        0.9848802779326269,
        0.9811715177703493,
        0.9774905849486779,
        0.97383716744959,
        0.9702109579024224,
        0.9666116534976661,
        0.9630389559026745,
        0.9594925711792331,
        0.9559722097029447,
        0.9524775860843807,
        0.949008419091958,
        0.9455644315764936,
        0.9421453503973973,
        0.9387509063504579,
        0.935380834097187,
        0.9320348720956783,
        0.9287127625329451,
        0.9254142512587014,
        0.9221390877205464,
        0.9188870249005233,
        0.915657819253014,
        0.91245123064394,
        0.9092670222912341,
        0.9061049607065575,
        0.9029648156382261,
        0.8998463600153205,
        0.89674936989295,
        0.893673624398643,
        0.890618905679837,
        0.8875849988524419,
        0.8845716919504508,
        0.8815787758765736,
        0.8786060443538699,
        0.8756532938783572,
        0.8727203236725708,
        0.8698069356400545,
        0.8669129343207599,
        0.8640381268473324,
        0.8611823229022652,
        0.8583453346758988,
        0.8555269768252496,
        0.8527270664336449,
        0.8499454229711502,
        0.8471818682557669,
        0.8444362264153851,
        0.8417083238504733,
        0.8389979891974906,
        0.8363050532930012,
        0.8336293491384794,
        0.8309707118657876,
        0.8283289787033128,
        0.8257039889427471,
        0.8230955839064973,
        0.8205036069157109,
        0.8179279032589045,
        0.8153683201611801,
        0.8128247067540193,
        0.8102969140456392,
        0.8077847948919014,
        0.8052882039677595,
        0.8028069977392348,
        0.8003410344359082,
        0.7978901740239179,
        0.7954542781794515,
        0.7930332102627223,
        0.7906268352924192,
        0.7882350199206203,
        0.7858576324081611,
        0.7834945426004464,
        0.7811456219036975,
        0.7788107432616258,
        0.7764897811325223,
        0.7741826114667579,
        0.7718891116846807,
        0.7696091606549067,
        0.7673426386729946,
        0.7650894274404945,
        0.762849410044367,
        0.76062247093676,
        0.7584084959151413,
        0.7562073721027754,
        0.7540189879295404,
        0.7518432331130759,
        0.7496799986402578,
        0.7475291767489904,
        0.7453906609103127,
        0.7432643458108091,
        0.741150127335322,
        0.7390479025499578,
        0.7369575696853807,
        0.7348790281203911,
        0.7328121783657789,
        0.7307569220484499,
        0.7287131618958183,
        0.7266808017204599,
        0.7246597464050225,
        0.7226499018873855,
        0.7206511751460681,
        0.7186634741858774,
        0.7166867080237933,
        0.714720786675087,
        0.7127656211396663,
        0.7108211233886439,
        0.7088872063511271,
        0.70696378390122,
        0.7050507708452384,
        0.703148082909131,
        0.7012556367261045,
        0.6993733498244465,
        0.6975011406155459,
        0.6956389283821032,
        0.6937866332665316,
        0.6919441762595399,
        0.6901114791888994,
        0.6882884647083881,
        0.6864750562869085,
        0.6846711781977789,
        0.6828767555081912,
        0.6810917140688357,
        0.6793159805036876,
        0.6775494821999516,
        0.6757921472981653,
        0.6740439046824546,
        0.6723046839709397,
        0.6705744155062914,
        0.66885303034643,
        0.667140460255369,
        0.6654366376941991,
        0.6637414958122081,
        0.6620549684381392,
        0.6603769900715792,
        0.6587074958744799,
        0.6570464216628058,
        0.6553937038983088,
        0.6537492796804268,
        0.652113086738304,
        0.6504850634229296,
        0.6488651486993957,
        0.6472532821392695,
        0.6456494039130788,
        0.6440534547829098,
        0.6424653760951136,
        0.6408851097731207,
        0.6393125983103612,
        0.6377477847632891,
        0.6361906127445087,
        0.6346410264160013,
        0.6330989704824509,
        0.631564390184667,
        0.6300372312931023,
        0.6285174401014649,
        0.6270049634204228,
        0.6254997485713975,
        0.6240017433804497,
        0.6225108961722494,
        0.6210271557641348,
        0.6195504714602547,
        0.6180807930457937,
        0.6166180707812817,
        0.6151622553969815,
        0.6137132980873569,
        0.6122711505056186,
        0.6108357647583473,
        0.6094070934001912,
        0.6079850894286386,
        0.6065697062788635,
        0.6051608978186426,
        0.603758618343343,
        0.6023628225709796,
        0.6009734656373414,
        0.599590503091184,
        0.5982138908894891,
        0.5968435853927888,
        0.5954795433605548,
        0.5941217219466494,
        0.5927700786948391,
        0.5914245715343706,
        0.5900851587756042,
        0.5887517991057092,
        0.5874244515844157,
        0.5861030756398247,
        0.5847876310642737,
        0.5834780780102592,
        0.582174376986412,
        0.5808764888535287,
        0.579584374820654,
        0.5782979964412158,
        0.5770173156092131,
        0.575742294555452,
        0.5744728958438333,
        0.5732090823676886,
        0.5719508173461643,
        0.5706980643206535,
        0.5694507871512752,
        0.5682089500133976,
        0.5669725173942098,
        0.5657414540893352
      ],
      "polynomial_values": [
        0.9376534916319271,
        0.9362928551648853,
        0.9349151274045587,
        0.9335202837797034,
        0.9321083023125156,
        0.9306791636596293,
        0.9292328511533835,
        0.927769350843358,
        0.9262886515381804,
        0.9247907448476027,
        0.9232756252248493,
        0.9217432900092364,
        0.9201937394690636,
        0.9186269768447772,
        0.9170430083924069,
        0.9154418434272749,
        0.9138234943679802,
        0.912187976780655,
        0.9105353094234973,
        0.9088655142915775,
        0.9071786166619209,
        0.9054746451388663,
        0.9037536316996996,
        0.9020156117405654,
        0.9002606241226555,
        0.8984887112186744,
        0.8966999189595829,
        0.8948942968816206,
        0.8930718981736064,
        0.8912327797245194,
        0.8893770021713576,
        0.8875046299472782,
        0.8856157313300176,
        0.8837103784905928,
        0.8817886475422829,
        0.8798506185898937,
        0.8778963757793029,
        0.8759260073472889,
        0.8739396056716416,
        0.8719372673215572,
        0.8699190931083153,
        0.8678851881362414,
        0.8658356618539533,
        0.8637706281058917,
        0.8616902051841363,
        0.859594515880508,
        0.8574836875389552,
        0.8553578521082298,
        0.853217146194845,
        0.8510617111163246,
        0.848891692954737,
        0.8467072426105176,
        0.8445085158565797,
        0.8422956733927136,
        0.8400688809002739,
        0.8378283090971571,
        0.8355741337930682,
        0.8333065359450761,
        0.8310257017134616,
        0.8287318225178534,
        0.8264250950936571,
        0.8241057215487742,
        0.8217739094206125,
        0.8194298717333903,
        0.8170738270557306,
        0.8147059995585486,
        0.8123266190732336,
        0.8099359211501216,
        0.8075341471172646,
        0.8051215441394902,
        0.8026983652777588,
        0.8002648695488133,
        0.7978213219851246,
        0.7953679936951314,
        0.7929051619237774,
        0.7904331101133416,
        0.7879521279645677,
        0.7854625114980871,
        0.7829645631161413,
        0.7804585916645992,
        0.777944912495273,
        0.7754238475285317,
        0.7728957253162119,
        0.7703608811048275,
        0.7678196568990778,
        0.7652724015256543,
        0.7627194706973466,
        0.7601612270774475,
        0.7575980403444591,
        0.7550302872570973,
        0.752458351719597,
        0.7498826248473182,
        0.7473035050326532,
        0.7447213980112334,
        0.7421367169284403,
        0.7395498824062146,
        0.7369613226101689,
        0.734371473317005,
        0.7317807779822283,
        0.7291896878081696,
        0.7265986618123077,
        0.7240081668958958,
        0.7214186779128906,
        0.7188306777391869,
        0.7162446573421528,
        0.7136611158504742,
        0.711080560624298,
        0.7085035073256851,
        0.7059304799893648,
        0.7033620110937953,
        0.7007986416325319,
        0.6982409211858972,
        0.695689407992959,
        0.6931446690238157,
        0.6906072800521843,
        0.6880778257283005,
        0.6855568996521184,
        0.6830451044468244,
        0.6805430518326544,
        0.6780513627010176,
        0.6755706671889316,
        0.6731016047537622,
        0.6706448242482724,
        0.6682009839959812,
        0.6657707518668267,
        0.6633548053531433,
        0.660953831645944,
        0.6585685277115134,
        0.656199600368309,
        0.6538477663641732,
        0.6515137524538541,
        0.6491982954768373,
        0.6469021424354854,
        0.6446260505734919,
        0.6423707874546404,
        0.6401371310418789,
        0.6379258697767021,
        0.6357378026588465,
        0.6335737393262959,
        0.6314345001355973,
        0.62932091624249,
        0.6272338296828461,
        0.6251740934539215,
        0.62314257159592,
        0.6211401392738705,
        0.6191676828598142,
        0.617226100015306,
        0.615316299774229,
        0.6134392026259194,
        0.6115957405986081,
        0.6097868573431714,
        0.6080135082171969,
        0.6062766603693652,
        0.6045772928241396,
        0.6029163965667748,
        0.6012949746286365,
        0.5997140421728355,
        0.5981746265801768,
        0.5966777675354233,
        0.5952245171138699,
        0.5938159398682382,
        0.5924531129158815,
        0.5911371260263059,
        0.5898690817090062,
        0.5886500953016169,
        0.5874812950583781,
        0.5863638222389177,
        0.5852988311973462,
        0.5842874894716708,
        0.5833309778735214,
        0.5824304905781951,
        0.5815872352150147,
        0.5808024329580043,
        0.5800773186168788,
        0.5794131407283534,
        0.5788111616477645,
        0.5782726576410102,
        0.5777989189768071,
        0.5773912500192611,
        0.5770509693207571,
        0.5767794097151635,
        0.5765779184113569,
        0.5764478570870586,
        0.5763906019829906,
        0.5764075439973506,
        0.5765000887806001,
        0.5766696568305714,
        0.5769176835878916,
        0.5772456195317253,
        0.577654930275832,
        0.578147096664942,
        0.5787236148714514,
        0.5793859964924302,
        0.5801357686469539,
        0.5809744740737477,
        0.58190367122915,
        0.5829249343853953,
        0.5840398537292113,
        0.5852500354607381,
        0.5865571018927609,
        0.5879626915502643
      ],
      "errors": [
        0.06234650836807287,
        0.059883859054481015,
        0.0574674247143423,
        0.05509689840935539,
        0.05277197562011127,
        0.05049235411071995,
        0.04825773379529441,
        0.04606781660623205,
        0.04392230636424199,
        0.04182090865006338,
        0.039763330677825226,
        0.03774928116999676,
        0.03577847023388114,
        0.03385060923960348,
        0.031965410699551056,
        0.030122588149218754,
        0.02832185602941717,
        0.026562929569802884,
        0.024845524673689723,
        0.023169357804100787,
        0.021534145871024202,
        0.01993960611983503,
        0.018385456020846846,
        0.016871413159957882,
        0.015397195130358532,
        0.013962519425265607,
        0.01256710333165123,
        0.011210663824936962,
        0.009892917464619622,
        0.00861358029080106,
        0.007372367721592332,
        0.006168994451364762,
        0.00500317434981945,
        0.003874620361849157,
        0.0027830444081679007,
        0.0017281572866799655,
        0.0007096685745670017,
        -0.00027271346893165127,
        -0.0012192819990708426,
        -0.002130331681502673,
        -0.003006158787555391,
        -0.003847061288908993,
        -0.00465333895168818,
        -0.005425293429992872,
        -0.006163228358886719,
        -0.0068674494468630165,
        -0.007538264567805042,
        -0.008175983852462876,
        -0.00878091977945994,
        -0.00935338726585122,
        -0.009893703757246408,
        -0.010402189317516353,
        -0.010879166718100297,
        -0.01132496152692597,
        -0.011739902196961083,
        -0.012124320154410007,
        -0.012478549886570933,
        -0.012802929029365195,
        -0.013097798454557052,
        -0.013363502356673274,
        -0.013600388339637837,
        -0.013808807503134957,
        -0.0139891145287111,
        -0.014141667765630861,
        -0.01426682931649581,
        -0.014364965122640405,
        -0.014436445049315627,
        -0.014481642970670117,
        -0.014500936854542235,
        -0.014494708847071047,
        -0.014463345357138557,
        -0.014407237140652174,
        -0.01432677938467819,
        -0.01422237179143393,
        -0.014094418662151553,
        -0.013943328980819292,
        -0.013769516497809775,
        -0.01357339981340644,
        -0.013355402461234567,
        -0.013115952991604618,
        -0.012855485054778515,
        -0.012574437484164647,
        -0.012273254379451815,
        -0.011952385189686221,
        -0.011612284796302386,
        -0.011253413596113981,
        -0.010876237584270698,
        -0.010481228437189682,
        -0.010068863595468658,
        -0.009639626346784613,
        -0.009194005908787828,
        -0.008732497511996118,
        -0.008255602482695412,
        -0.007763828325852651,
        -0.007257688808049223,
        -0.00673770404043561,
        -0.0062044005617190034,
        -0.005658311421186779,
        -0.005099976261768391,
        -0.004529941403147109,
        -0.003948759924922163,
        -0.0033569917498276203,
        -0.0027552037270132113,
        -0.0021439697153935455,
        -0.0015238706670658297,
        -0.0008954947108078537,
        -0.00025943723565413634,
        0.00038369902544199697,
        0.001033303911855299,
        0.001688759751443114,
        0.0023494412765990846,
        0.003014715540207269,
        0.0036839418314875694,
        0.004356471591730249,
        0.00503164832991887,
        0.005708807538231109,
        0.006387276607421444,
        0.007066374742074943,
        0.007745412875733715,
        0.008423693585890901,
        0.009100511008847345,
        0.009775150754428918,
        0.010446889820563299,
        0.01111499650770642,
        0.011778730333124932,
        0.012437341945021996,
        0.013090073036510552,
        0.013736156259426258,
        0.014374815137982333,
        0.015005263982256767,
        0.015626707801514872,
        0.016238342217361867,
        0.01683935337672271,
        0.017428917864647286,
        0.01800620261693886,
        0.018570364832600994,
        0.01912055188610373,
        0.01965590123946226,
        0.02017554035413094,
        0.020678586602706717,
        0.021164147180439574,
        0.021631319016549577,
        0.022079188685347972,
        0.022506832317158776,
        0.0229133155090393,
        0.0232976932352994,
        0.023659009757814764,
        0.023996298536132277,
        0.02430858213736964,
        0.024594872145900615,
        0.02485416907282989,
        0.025085462265253988,
        0.025287729815301807,
        0.025459938468962662,
        0.02560104353469017,
        0.02570998879178632,
        0.025785706398561925,
        0.02582711680027283,
        0.025833128636826075,
        0.025802638650264886,
        0.02573453159201644,
        0.025627680129912123,
        0.025480944754975865,
        0.025293173687975345,
        0.025063202785739924,
        0.02478985544724055,
        0.024471942519429635,
        0.02410826220284501,
        0.023697599956967852,
        0.023238728405342135,
        0.022730407240447503,
        0.022171383128328337,
        0.02156038961297535,
        0.020896147020462608,
        0.02017736236283063,
        0.019402729241724592,
        0.0185709277517786,
        0.017680624383747623,
        0.016730471927388302,
        0.015719109374082052,
        0.014645161819207053,
        0.01350724036424733,
        0.012303942018650593,
        0.011033849601425061,
        0.009695531642474053,
        0.008287542283673566,
        0.006808421179687829,
        0.005256693398520307,
        0.003630869321803454,
        0.0019294445448219122,
        0.00015089977627380513,
        -0.0017062992622383089,
        -0.003643701936978161,
        -0.005662872803120611,
        -0.007765391706059055,
        -0.009952853882985724,
        -0.012226870064741768,
        -0.014589066577936127,
        -0.01704108544734051,
        -0.01958458449855105,
        -0.022221237460929077
      ],
      "max_error": 0.06234650836807287,
      "rms_error": 0.019592704313332536,
      "bounded_xs": [
        -1.0,
        -0.995,
        -0.99,
        -0.985,
        -0.98,
        -0.975,
        -0.97,
        -0.965,
        -0.96,
        -0.955,
        -0.95,
        -0.945,
        -0.94,
        -0.935,
        -0.9299999999999999,
        -0.925,
        -0.92,
        -0.915,
        -0.91,
        -0.905,
        -0.9,
        -0.895,
        -0.89,
        -0.885,
        -0.88,
        -0.875,
        -0.87,
        -0.865,
        -0.86,
        -0.855,
        -0.85,
        -0.845,
        -0.84,
        -0.835,
        -0.83,
        -0.825,
        -0.8200000000000001,
        -0.815,
        -0.81,
        -0.8049999999999999,
        -0.8,
        -0.7949999999999999,
        -0.79,
        -0.785,
        -0.78,
        -0.775,
        -0.77,
        -0.765,
        -0.76,
        -0.755,
        -0.75,
        -0.745,
        -0.74,
        -0.735,
        -0.73,
        -0.725,
        -0.72,
        -0.715,
        -0.71,
        -0.7050000000000001,
        -0.7,
        -0.6950000000000001,
        -0.69,
        -0.685,
        -0.6799999999999999,
        -0.675,
        -0.6699999999999999,
        -0.665,
        -0.6599999999999999,
        -0.655,
        -0.6499999999999999,
        -0.645,
        -0.64,
        -0.635,
        -0.63,
        -0.625,
        -0.62,
        -0.615,
        -0.61,
        -0.605,
        -0.6,
        -0.595,
        -0.59,
        -0.585,
        -0.5800000000000001,
        -0.575,
        -0.5700000000000001,
        -0.565,
        -0.56,
        -0.5549999999999999,
        -0.55,
        -0.5449999999999999,
        -0.54,
        -0.5349999999999999,
        -0.53,
        -0.5249999999999999,
        -0.52,
        -0.515,
        -0.51,
        -0.505,
        -0.5,
        -0.495,
        -0.49,
        -0.485,
        -0.48,
        -0.475,
        -0.47,
        -0.46499999999999997,
        -0.45999999999999996,
        -0.45499999999999996,
        -0.44999999999999996,
        -0.44499999999999995,
        -0.43999999999999995,
        -0.43499999999999994,
        -0.42999999999999994,
        -0.42499999999999993,
        -0.42000000000000004,
        -0.41500000000000004,
        -0.41000000000000003,
        -0.405,
        -0.4,
        -0.395,
        -0.39,
        -0.385,
        -0.38,
        -0.375,
        -0.37,
        -0.365,
        -0.36,
        -0.355,
        -0.35,
        -0.345,
        -0.33999999999999997,
        -0.33499999999999996,
        -0.32999999999999996,
        -0.32499999999999996,
        -0.31999999999999995,
        -0.31499999999999995,
        -0.30999999999999994,
        -0.30499999999999994,
        -0.29999999999999993,
        -0.29500000000000004,
        -0.29000000000000004,
        -0.28500000000000003,
        -0.28,
        -0.275,
        -0.27,
        -0.265,
        -0.26,
        -0.255,
        -0.25,
        -0.245,
        -0.24,
        -0.235,
        -0.22999999999999998,
        -0.22499999999999998,
        -0.21999999999999997,
        -0.21499999999999997,
        -0.20999999999999996,
        -0.20499999999999996,
        -0.19999999999999996,
        -0.19499999999999995,
        -0.18999999999999995,
        -0.18499999999999994,
        -0.17999999999999994,
        -0.17499999999999993,
        -0.16999999999999993,
        -0.16500000000000004,
        -0.16000000000000003,
        -0.15500000000000003,
        -0.15000000000000002,
        -0.14500000000000002,
        -0.14,
        -0.135,
        -0.13,
        -0.125,
        -0.12,
        -0.11499999999999999,
        -0.10999999999999999,
        -0.10499999999999998,
        -0.09999999999999998,
        -0.09499999999999997,
        -0.08999999999999997,
        -0.08499999999999996,
        -0.07999999999999996,
        -0.07499999999999996,
        -0.06999999999999995,
        -0.06499999999999995,
        -0.05999999999999994,
        -0.05499999999999994,
        -0.04999999999999993,
        -0.04499999999999993,
        -0.040000000000000036,
        -0.03500000000000003,
        -0.030000000000000027,
        -0.025000000000000022,
        -0.020000000000000018,
        -0.015000000000000013,
        -0.010000000000000009,
        -0.0050000000000000044,
        0.0,
        0.0050000000000001155,
        0.010000000000000009,
        0.015000000000000124,
        0.020000000000000018,
        0.02499999999999991,
        0.030000000000000027,
        0.03499999999999992,
        0.040000000000000036,
        0.04499999999999993,
        0.050000000000000044,
        0.05499999999999994,
        0.06000000000000005,
        0.06499999999999995,
        0.07000000000000006,
        0.07499999999999996,
        0.08000000000000007,
        0.08499999999999996,
        0.09000000000000008,
        0.09499999999999997,
        0.10000000000000009,
        0.10499999999999998,
        0.1100000000000001,
        0.11499999999999999,
        0.1200000000000001,
        0.125,
        0.13000000000000012,
        0.135,
        0.14000000000000012,
        0.14500000000000002,
        0.15000000000000013,
        0.15500000000000003,
        0.15999999999999992,
        0.16500000000000004,
        0.16999999999999993,
        0.17500000000000004,
        0.17999999999999994,
        0.18500000000000005,
        0.18999999999999995,
        0.19500000000000006,
        0.19999999999999996,
        0.20500000000000007,
        0.20999999999999996,
        0.21500000000000008,
        0.21999999999999997,
        0.2250000000000001,
        0.22999999999999998,
        0.2350000000000001,
        0.24,
        0.2450000000000001,
        0.25,
        0.2550000000000001,
        0.26,
        0.2650000000000001,
        0.27,
        0.27500000000000013,
        0.28,
        0.2849999999999999,
        0.29000000000000004,
        0.29499999999999993,
        0.30000000000000004,
        0.30499999999999994,
        0.31000000000000005,
        0.31499999999999995,
        0.32000000000000006,
        0.32499999999999996,
        0.33000000000000007,
        0.33499999999999996,
        0.3400000000000001,
        0.345,
        0.3500000000000001,
        0.355,
        0.3600000000000001,
        0.365,
        0.3700000000000001,
        0.375,
        0.3800000000000001,
        0.385,
        0.3900000000000001,
        0.395,
        0.40000000000000013,
        0.405,
        0.4099999999999999,
        0.41500000000000004,
        0.41999999999999993,
        0.42500000000000004,
        0.42999999999999994,
        0.43500000000000005,
        0.43999999999999995,
        0.44500000000000006,
        0.44999999999999996,
        0.45500000000000007,
        0.45999999999999996,
        0.4650000000000001,
        0.47,
        0.4750000000000001,
        0.48,
        0.4850000000000001,
        0.49,
        0.4950000000000001,
        0.5,
        0.5050000000000001,
        0.51,
        0.5150000000000001,
        0.52,
        0.5250000000000001,
        0.53,
        0.5350000000000001,
        0.54,
        0.5449999999999999,
        0.55,
        0.5549999999999999,
        0.56,
        0.565,
        0.5700000000000001,
        0.575,
        0.5800000000000001,
        0.585,
        0.5900000000000001,
        0.595,
        0.6000000000000001,
        0.605,
        0.6100000000000001,
        0.615,
        0.6200000000000001,
        0.625,
        0.6300000000000001,
        0.635,
        0.6400000000000001,
        0.645,
        0.6500000000000001,
        0.655,
        0.6600000000000001,
        0.665,
        0.6699999999999999,
        0.675,
        0.6799999999999999,
        0.685,
        0.69,
        0.6950000000000001,
        0.7,
        0.7050000000000001,
        0.71,
        0.7150000000000001,
        0.72,
        0.7250000000000001,
        0.73,
        0.7350000000000001,
        0.74,
        0.7450000000000001,
        0.75,
        0.7550000000000001,
        0.76,
        0.7650000000000001,
        0.77,
        0.7750000000000001,
        0.78,
        0.7850000000000001,
        0.79,
        0.7949999999999999,
        0.8,
        0.8049999999999999,
        0.81,
        0.815,
        0.8200000000000001,
        0.825,
        0.8300000000000001,
        0.835,
        0.8400000000000001,
        0.845,
        0.8500000000000001,
        0.855,
        0.8600000000000001,
        0.865,
        0.8700000000000001,
        0.875,
        0.8800000000000001,
        0.885,
        0.8900000000000001,
        0.895,
        0.9000000000000001,
        0.905,
        0.9100000000000001,
        0.915,
        0.9199999999999999,
        0.925,
        0.9299999999999999,
        0.935,
        0.94,
        0.9450000000000001,
        0.95,
        0.9550000000000001,
        0.96,
        0.9650000000000001,
        0.97,
        0.9750000000000001,
        0.98,
        0.9850000000000001,
        0.99,
        0.9950000000000001,
        1.0
      ],
      "bounded_polynomial_values": [
        0.9785028386096811,
        0.9802082260549456,
        0.9817619106463739,
        0.9831720323496365,
        0.9844464463430334,
        0.9855927295378529,
        0.9866181870064223,
        0.987529858318539,
        0.9883345237869797,
        0.9890387106227666,
        0.9896486990008838,
        0.990170528037122,
        0.9906100016767395,
        0.9909726944956176,
        0.99126395741459,
        0.9914889233276236,
        0.9916525126445286,
        0.9917594387488669,
        0.9918142133717385,
        0.9918211518821096,
        0.9917843784943564,
        0.991707831393687,
        0.991595267780113,
        0.9914502688316288,
        0.9912762445872647,
        0.9910764387506712,
        0.9908539334148964,
        0.9906116537090097,
        0.9903523723672312,
        0.9900787142212158,
        0.9897931606161485,
        0.9894980537512964,
        0.9891956009456698,
        0.9888878788294369,
        0.9885768374617361,
        0.9882643043755331,
        0.9879519885501592,
        0.9876414843121748,
        0.9873342751651938,
        0.9870317375493063,
        0.9867351445307343,
        0.9864456694223525,
        0.9861643893357065,
        0.9858922886651577,
        0.9856302625047816,
        0.9853791199986476,
        0.9851395876251028,
        0.9849123124156844,
        0.9846978651092787,
        0.9844967432421498,
        0.9843093741744523,
        0.984136118053846,
        0.9839772707168251,
        0.9838330665283744,
        0.9837036811605666,
        0.9835892343107031,
        0.9834897923596122,
        0.983405370970706,
        0.9833359376304018,
        0.9832814141305096,
        0.9832416789931852,
        0.9832165698390491,
        0.9832058856990685,
        0.9832093892707946,
        0.983226809119552,
        0.9832578418251715,
        0.9833021540748547,
        0.9833593847027603,
        0.9834291466768985,
        0.9835110290339187,
        0.983604598762373,
        0.9837094026350374,
        0.9838249689908714,
        0.983950809467193,
        0.9840864206826461,
        0.984231285871534,
        0.9843848764700944,
        0.9845466536552844,
        0.9847160698366463,
        0.984892570101823,
        0.9850755936162872,
        0.9852645749778497,
        0.9854589455265106,
        0.9856581346102128,
        0.9858615708070572,
        0.986068683104538,
        0.9862789020363546,
        0.9864916607773516,
        0.9867063961971417,
        0.986922549872962,
        0.9871395690623114,
        0.9873569076359171,
        0.9875740269715774,
        0.9877903968094204,
        0.9880054960691265,
        0.9882188136296493,
        0.9884298490719786,
        0.9886381133854795,
        0.9888431296383428,
        0.9890444336126828,
        0.9892415744048121,
        0.9894341149912237,
        0.9896216327608102,
        0.989803720013845,
        0.9899799844282531,
        0.9901500494936912,
        0.9903135549139623,
        0.9904701569782823,
        0.9906195289019175,
        0.9907613611367094,
        0.9908953616520028,
        0.9910212561864866,
        0.9911387884714636,
        0.9912477204260545,
        0.9913478323248465,
        0.9914389229384921,
        0.991520809647762,
        0.9915933285315554,
        0.9916563344293683,
        0.9917097009787202,
        0.9917533206280351,
        0.9917871046254736,
        0.9918109829842107,
        0.9918249044246509,
        0.9918288362940721,
        0.9918227644641866,
        0.9918066932071068,
        0.9917806450502012,
        0.9917446606103257,
        0.9916987984079098,
        0.9916431346613801,
        0.9915777630624008,
        0.9915027945324049,
        0.9914183569608944,
        0.9913245949259823,
        0.9912216693976479,
        0.9911097574241747,
        0.9909890518022427,
        0.9908597607311371,
        0.9907221074515432,
        0.9905763298693864,
        0.9904226801651829,
        0.9902614243893584,
        0.9900928420439934,
        0.9899172256514525,
        0.9897348803103517,
        0.9895461232393171,
        0.9893512833089858,
        0.989150700562699,
        0.988944725726336,
        0.9887337197077329,
        0.9885180530861344,
        0.9882981055921163,
        0.9880742655784247,
        0.9878469294821687,
        0.9876165012788037,
        0.9873833919283435,
        0.9871480188142323,
        0.9869108051753134,
        0.9866721795313196,
        0.9864325751023205,
        0.9861924292225493,
        0.9859521827490368,
        0.985712279465477,
        0.9854731654817447,
        0.9852352886294872,
        0.9849990978542088,
        0.9847650426042635,
        0.984533572217173,
        0.9843051353036835,
        0.9840801791299719,
        0.9838591489984132,
        0.9836424876273164,
        0.9834306345300365,
        0.9832240253938669,
        0.9830230914591164,
        0.9828282588987715,
        0.9826399481991454,
        0.9824585735419098,
        0.9822845421879076,
        0.9821182538631413,
        0.9819601001473292,
        0.9818104638654208,
        0.9816697184824629,
        0.9815382275022017,
        0.9814163438698087,
        0.981304409379115,
        0.9812027540847357,
        0.9811116957194665,
        0.9810315391173318,
        0.9809625756426605,
        0.9809050826255684,
        0.9808593228042178,
        0.98082554377423,
        0.9808039774456189,
        0.9807948395076171,
        0.9807983289017607,
        0.9808146273035969,
        0.9808438986133826,
        0.9808862884561315,
        0.9809419236913728,
        0.9810109119329807,
        0.98109334107943,
        0.9811892788548342,
        0.9812987723611196,
        0.9814218476416883,
        0.981558509256918,
        0.9817087398718495,
        0.9818724998564075,
        0.9820497268985001,
        0.9822403356303404,
        0.982444217268331,
        0.9826612392668539,
        0.9828912449863003,
        0.9831340533756803,
        0.9833894586701447,
        0.9836572301037546,
        0.9839371116378268,
        0.9842288217051882,
        0.9845320529706647,
        0.9848464721081321,
        0.985171719594453,
        0.9855074095206223,
        0.9858531294204432,
        0.9862084401170526,
        0.9865728755876133,
        0.9869459428464896,
        0.9873271218472204,
        0.9877158654036011,
        0.9881115991301879,
        0.98851372140253,
        0.9889216033374411,
        0.9893345887936115,
        0.9897519943928693,
        0.9901731095623888,
        0.9905971965981497,
        0.9910234907499443,
        0.9914512003282311,
        0.9918795068331274,
        0.9923075651058395,
        0.992734503502817,
        0.9931594240929251,
        0.9935814028779227,
        0.9939994900365323,
        0.9944127101923871,
        0.9948200627061395,
        0.995220521992012,
        0.9956130378590706,
        0.9959965358774983,
        0.996369917770147,
        0.9967320618296415,
        0.9970818233613072,
        0.997418035152197,
        0.9977395079664823,
        0.99804503106748,
        0.9983333727665796,
        0.9986032809993352,
        0.9988534839289857,
        0.9990826905776651,
        0.9992895914855602,
        0.9994728593982752,
        0.9996311499826587,
        0.9997631025713469,
        0.9998673409362767,
        0.9999424740914179,
        0.9999870971249748,
        0.9999997920613056,
        0.9999791287528017,
        0.9999236658019757,
        0.9998319515139964,
        0.9997025248799133,
        0.9995339165908098,
        0.9993246500831205,
        0.9990732426153496,
        0.9987782063764236,
        0.99843804962591,
        0.9980512778663333,
        0.9976163950478149,
        0.997131904805266,
        0.9965963117283577,
        0.996008122664491,
        0.9953658480549894,
        0.9946680033047341,
        0.9939131101854598,
        0.993099698272927,
        0.9922263064181872,
        0.991291484253153,
        0.990293793730685,
        0.9892318106994042,
        0.9881041265134404,
        0.9869093496773198,
        0.985646107526199,
        0.9843130479416461,
        0.982908841103172,
        0.9814321812757103,
        0.9798817886332429,
        0.9782564111187696,
        0.9765548263408125,
        0.974775843506652,
        0.9729183053924816,
        0.9709810903506725,
        0.9689631143543351,
        0.9668633330793637,
        0.9646807440241466,
        0.9624143886671268,
        0.9600633546623907,
        0.9576267780734664,
        0.9551038456455069,
        0.952493797116035,
        0.9497959275644221,
        0.9470095898002752,
        0.9441341967908997,
        0.9411692241280087,
        0.9381142125338453,
        0.9349687704068812,
        0.9317325764072589,
        0.9284053820821346,
        0.9249870145310863,
        0.9214773791117412,
        0.9178764621857831,
        0.9141843339054909,
        0.9104011510409653,
        0.9065271598481903,
        0.9025626989780846,
        0.8985082024266868,
        0.8943642025266232,
        0.8901313329800004,
        0.8858103319328691,
        0.8814020450913966,
        0.8769074288798908,
        0.8723275536408088,
        0.8676636068768939,
        0.8629168965355649,
        0.8580888543357014,
        0.8531810391369463,
        0.8481951403516618,
        0.8431329813996629,
        0.8379965232058528,
        0.8327878677408905,
        0.8275092616050038,
        0.8221630996550775,
        0.8167519286751281,
        0.811278451090289,
        0.805745528724414,
        0.8001561866014218,
        0.7945136167904845,
        0.7888211822951784,
        0.783082420986699,
        0.7773010495812536,
        0.7714809676617297,
        0.7656262617437501,
        0.7597412093862088,
        0.7538302833463957,
        0.7478981557798007,
        0.741949702484701,
        0.7359900071916198,
        0.7300243658977554,
        0.7240582912464688,
        0.7180975169519204,
        0.7121480022689431,
        0.7062159365082413,
        0.7003077435969959,
        0.6944300866849613,
        0.688589872796135,
        0.6827942575260784,
        0.6770506497849683,
        0.6713667165864531,
        0.6657503878823896,
        0.6602098614435316,
        0.6547536077862453,
        0.6493903751453118,
        0.644129194492898,
        0.6389793846037435,
        0.6339505571666496,
        0.6290526219423089,
        0.6242957919675591,
        0.6196905888061,
        0.6152478478457462,
        0.6109787236422616,
        0.6068946953098336,
        0.6030075719582378,
        0.5993294981767445,
        0.5958729595648147,
        0.5926507883096322,
        0.5896761688105184,
        0.5869626433502743,
        0.5845241178134851,
        0.5823748674518388,
        0.5805295426964845,
        0.5790031750174769,
        0.577811182830337,
        0.5769693774497633,
        0.5764939690905265,
        0.5764015729155729,
        0.5767092151313731,
        0.5774343391305317,
        0.578594811681692,
        0.5802089291667518,
        0.5822954238654193,
        0.584873470287117,
        0.5879626915502643
      ],
      "max_abs_value": 0.9999997920613056,
      "bounded_margin": 2.079386943742989e-07,
      "is_bounded": true,
      "coeffs": [
        0.9809419236913728,
        0.012459086049589323,
        0.26709298872817416,
        0.13049637776907144,
        -1.3144797709256606,
        -1.238589664531808,
        0.958472018777312,
        0.9003641271834388,
        -0.10879439519122562
      ],
      "builder": "design_positive_inverse_polynomial",
      "kind": "positive_inverse",
      "gamma": 0.5657414540893352,
      "degree": 8,
      "extension": "auto",
      "selected_extension": "flat"
    },
    "compatibility": {
      "mode": "qsvt-compatibility-report",
      "poly": [
        0.9809419236913728,
        0.012459086049589323,
        0.26709298872817416,
        0.13049637776907144,
        -1.3144797709256606,
        -1.238589664531808,
        0.958472018777312,
        0.9003641271834388,
        -0.10879439519122562
      ],
      "polynomial_degree": 8,
      "coefficients_finite": true,
      "parity": "mixed",
      "has_definite_parity": false,
      "bounded_domain": [
        -1.0,
        1.0
      ],
      "bounded_num_points": 401,
      "bound": 1.0,
      "max_abs_value": 0.9999997920613058,
      "bounded_margin": 2.079386941522543e-07,
      "is_bounded": true,
      "attempted_pennylane_synthesis": false,
      "pennylane_synthesis_succeeded": null,
      "reasons": [
        "mixed_parity"
      ],
      "compatible": false
    },
    "resource_proxy": {
      "proxy_kind": "linear-system-qsvt-style-resource-proxy",
      "degree": 8,
      "gamma": 0.5657414540893352,
      "scaled_min_eigenvalue": 0.5657414540893352,
      "gamma_condition_proxy": 1.767591879243998,
      "condition_number_2": 1.7675918792439982,
      "polynomial_residual_norm": 0.05755331838177459,
      "polynomial_relative_error": 0.057179605843630084,
      "pennylane_qsvt_check": "not_attempted",
      "attempted_pennylane_synthesis": false,
      "requires_block_encoding": true,
      "requires_state_preparation": true,
      "requires_success_probability_management": true,
      "requires_readout_strategy": true,
      "omitted_layers": [
        "state_preparation_or_data_loading",
        "oracle_or_block_encoding_construction",
        "controlled_reflection_sequence_cost",
        "success_probability_management",
        "amplitude_amplification",
        "measurement_readout_or_tomography",
        "fault_tolerant_synthesis",
        "hardware_compilation"
      ],
      "limitations": "This is a polynomial-degree and conditioning proxy for a finite dense instance. It is not a quantum runtime or an end-to-end linear-system algorithm cost."
    }
  },
  "resource_proxy": {
    "proxy_kind": "linear-system-qsvt-style-resource-proxy",
    "degree": 8,
    "gamma": 0.5657414540893352,
    "scaled_min_eigenvalue": 0.5657414540893352,
    "gamma_condition_proxy": 1.767591879243998,
    "condition_number_2": 1.7675918792439982,
    "polynomial_residual_norm": 0.05755331838177459,
    "polynomial_relative_error": 0.057179605843630084,
    "pennylane_qsvt_check": "not_attempted",
    "attempted_pennylane_synthesis": false,
    "requires_block_encoding": true,
    "requires_state_preparation": true,
    "requires_success_probability_management": true,
    "requires_readout_strategy": true,
    "omitted_layers": [
      "state_preparation_or_data_loading",
      "oracle_or_block_encoding_construction",
      "controlled_reflection_sequence_cost",
      "success_probability_management",
      "amplitude_amplification",
      "measurement_readout_or_tomography",
      "fault_tolerant_synthesis",
      "hardware_compilation"
    ],
    "limitations": "This is a polynomial-degree and conditioning proxy for a finite dense instance. It is not a quantum runtime or an end-to-end linear-system algorithm cost."
  },
  "notes": [
    "The dense solve is the numerical reference for this finite instance.",
    "The QSVT-style row measures polynomial inverse accuracy, not quantum runtime."
  ]
}