| # Scientific table schemas |
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| All six tables are synthetic or theoretical. Total rows: 1,342. |
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| ## `phase_scan` |
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| Synthetic complex reflection and noisy quadratures across drive detuning. [801 rows](research/physics/phase_scan.csv); split `train`. |
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| | Column | Storage type | |
| | --- | --- | |
| | `omega_over_Omega0` | `float64` | |
| | `S_plus_real` | `float64` | |
| | `S_plus_imag` | `float64` | |
| | `S_minus_real` | `float64` | |
| | `S_minus_imag` | `float64` | |
| | `absolute_contrast` | `float64` | |
| | `noisy_plus_real` | `float64` | |
| | `noisy_plus_imag` | `float64` | |
| | `noisy_minus_real` | `float64` | |
| | `noisy_minus_imag` | `float64` | |
| ## `raw_control_records` |
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| Four synthetic calibration settings, before and after reflection inversion. [4 rows](research/physics/raw_control_records.csv); split `train`. |
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| | Column | Storage type | |
| | --- | --- | |
| | `setting` | `integer` | |
| | `t_real` | `float64` | |
| | `t_imag` | `float64` | |
| | `S_exact_real` | `float64` | |
| | `S_exact_imag` | `float64` | |
| | `S_measured_real` | `float64` | |
| | `S_measured_imag` | `float64` | |
| | `F_exact_real` | `float64` | |
| | `F_exact_imag` | `float64` | |
| | `F_measured_real` | `float64` | |
| | `F_measured_imag` | `float64` | |
| ## `withheld_controls` |
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| Synthetic held-out controls with exact, noisy, and deliberate-drift errors. [20 rows](research/physics/withheld_controls.csv); split `test`. |
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| | Column | Storage type | |
| | --- | --- | |
| | `index` | `integer` | |
| | `t_real` | `float64` | |
| | `t_imag` | `float64` | |
| | `F_true_real` | `float64` | |
| | `F_true_imag` | `float64` | |
| | `exact_prediction_error` | `float64` | |
| | `noisy_prediction_error` | `float64` | |
| | `deliberate_drift_error` | `float64` | |
| ## `memory_phase` |
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| Two-pole theoretical memory intensity for opposite relational phases. [501 rows](research/data/memory_phase.csv); split `train`. |
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| | Column | Storage type | |
| | --- | --- | |
| | `time_times_Omega0` | `float64` | |
| | `plus` | `float64` | |
| | `minus` | `float64` | |
| ## `rank_profiles` |
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| Exact theoretical self-adjoint versus dissipative rank profiles. [8 rows](research/data/rank_profiles.csv); split `train`. |
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| | Column | Storage type | |
| | --- | --- | |
| | `nodes` | `integer` | |
| | `seven_state_Hermitian` | `integer` | |
| | `one_damped_state` | `integer` | |
| ## `damping_kernel_spectrum` |
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| Numerical kernel eigenvalues before and after a known-linewidth correction. [8 rows](research/data/damping_kernel_spectrum.csv); split `train`. |
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| | Column | Storage type | |
| | --- | --- | |
| | `index` | `integer` | |
| | `uncorrected_eigenvalue` | `float64` | |
| | `known_shift_eigenvalue` | `float64` | |
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| ## Interpretation |
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| - `phase_scan`: detuning is normalized by Omega0; reflection quadratures and absolute contrast are dimensionless. Noisy columns contain simulated averaged readout noise. |
| - `raw_control_records`: `t_*` gives the normalized complex control; `S_*` is dimensionless reflection; `F_*` is inverse root response normalized by Omega0. Noise is added to reflection before inversion. |
| - `withheld_controls`: normalized inverse-response prediction errors; deliberate drift is a synthetic 0.025 Omega0 hidden-detuning change. |
| - `memory_phase`: dimensionless time and normalized two-pole memory intensities for phases +pi/2 and -pi/2. See the source plot/formula for intensity normalization. |
| - `rank_profiles`: theoretical exact ranks, not noisy rank estimates. Each node count is a distinct sampling-set size. |
| - `damping_kernel_spectrum`: eigenvalues of dimensionless normalized kernels, in descending algebraic order. Tiny signed values near zero can be rounding artifacts; the plotted absolute spectrum is not additional physical spectral mass. |
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| No values are missing. CSV complex quantities are always separated into real/imaginary fields. The authoritative generation formulas and seed are in `research/src/make_data.py`; device-specific calibration is required before experimental comparison. |
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