{
  "seed": 2340,
  "predictions": {
    "P1_exact_decorrelation": "max |T^T R T-I| should remain at floating point precision for all c and Q=I",
    "P2_identity_fidelity": "min fidelity should equal [sqrt(1+(p-1)c)+(p-1)sqrt(1-c)]/p",
    "P3_threshold_transition": "identity anchor is feasible iff rho <= rho0(c), where rho0 is the P2 curve"
  },
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      "c": 0.0,
      "max_cov_error": 0.0,
      "fidelity_min": 1.0
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    {
      "c": 0.1,
      "max_cov_error": 6.661338147750939e-16,
      "fidelity_min": 0.994693560274026
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    {
      "c": 0.3,
      "max_cov_error": 1.2212453270876722e-15,
      "fidelity_min": 0.9607398271257608
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    {
      "c": 0.6,
      "max_cov_error": 7.771561172376096e-16,
      "fidelity_min": 0.8603796100280627
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    {
      "c": 0.9,
      "max_cov_error": 1.176836406102666e-14,
      "fidelity_min": 0.6543911183326493
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      "c": 0.0,
      "predicted": 1.0,
      "observed": 1.0,
      "abs_error": 0.0
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    {
      "c": 0.1,
      "predicted": 0.9946935602740264,
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      "abs_error": 4.440892098500626e-16
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    {
      "c": 0.3,
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      "observed": 0.9607398271257608,
      "abs_error": 5.551115123125783e-16
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      "c": 0.6,
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      "abs_error": 5.551115123125783e-16
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    {
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      "abs_error": 1.4432899320127035e-15
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      "c": 0.0,
      "rho": 0.98,
      "predicted_feasible": true,
      "observed_feasible": true,
      "rho0_predicted": 1.0,
      "min_fidelity": 1.0
    },
    {
      "c": 0.0,
      "rho": 1.02,
      "predicted_feasible": false,
      "observed_feasible": false,
      "rho0_predicted": 1.0,
      "min_fidelity": 1.0
    },
    {
      "c": 0.1,
      "rho": 0.9746935602740264,
      "predicted_feasible": true,
      "observed_feasible": true,
      "rho0_predicted": 0.9946935602740264,
      "min_fidelity": 0.994693560274026
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    {
      "c": 0.1,
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      "rho0_predicted": 0.9946935602740264,
      "min_fidelity": 0.994693560274026
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      "c": 0.3,
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      "min_fidelity": 0.9607398271257608
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      "c": 0.3,
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      "rho0_predicted": 0.9607398271257613,
      "min_fidelity": 0.9607398271257608
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    {
      "c": 0.6,
      "rho": 0.8403796100280633,
      "predicted_feasible": true,
      "observed_feasible": true,
      "rho0_predicted": 0.8603796100280633,
      "min_fidelity": 0.8603796100280627
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    {
      "c": 0.6,
      "rho": 0.8803796100280633,
      "predicted_feasible": false,
      "observed_feasible": false,
      "rho0_predicted": 0.8603796100280633,
      "min_fidelity": 0.8603796100280627
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    {
      "c": 0.9,
      "rho": 0.6343911183326507,
      "predicted_feasible": true,
      "observed_feasible": true,
      "rho0_predicted": 0.6543911183326507,
      "min_fidelity": 0.6543911183326493
    },
    {
      "c": 0.9,
      "rho": 0.6743911183326508,
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      "observed_feasible": false,
      "rho0_predicted": 0.6543911183326507,
      "min_fidelity": 0.6543911183326493
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  ],
  "toy": {
    "accuracy_bn_like": 0.8897142857142857,
    "accuracy_zca_q_identity": 0.8897142857142857,
    "bn_like_offdiag_fro": 3.314475478163808,
    "zca_offdiag_fro": 1.89921721890737e-15,
    "zca_max_cov_error": 1.0547118733938987e-15,
    "zca_min_input_fidelity": 0.8523132299144632,
    "rho_identity_prediction": 0.8603796100280633,
    "n_train": 3250
  }
}