Floquet-Stabilized Periodic Training Dynamics / floquet_results.json

✓✓ Beats tuned baseline

Raw ⬇ ZIP
  1{
  2  "matrices": {
  3    "M1": [
  4      [
  5        -5.83182011,
  6        6.67253161
  7      ],
  8      [
  9        4.98376025,
 10        -2.86979823
 11      ]
 12    ],
 13    "M2": [
 14      [
 15        4.15640208,
 16        -3.6758162
 17      ],
 18      [
 19        5.62849205,
 20        -1.0891562
 21      ]
 22    ],
 23    "edge_M1": 1.6029871994760496,
 24    "edge_M2": 1.5336229400000005,
 25    "commutator_norm": 93.05213783271088
 26  },
 27  "predictions": {
 28    "P1": "gamma(d)=gamma(0)-d exactly",
 29    "P2": "slow-period boundary approaches average instantaneous edge",
 30    "P3": "noncommuting finite-period forcing can stabilize beyond mean-matrix dynamics"
 31  },
 32  "damping_shift": [
 33    {
 34      "period": 0.01,
 35      "measured_shift": 2.0000000000000098,
 36      "predicted_shift": 2.0,
 37      "abs_error": 9.769962616701378e-15
 38    },
 39    {
 40      "period": 0.03,
 41      "measured_shift": 1.999999999999999,
 42      "predicted_shift": 2.0,
 43      "abs_error": 1.1102230246251565e-15
 44    },
 45    {
 46      "period": 0.1,
 47      "measured_shift": 2.0,
 48      "predicted_shift": 2.0,
 49      "abs_error": 0.0
 50    },
 51    {
 52      "period": 0.2,
 53      "measured_shift": 2.0000000000000004,
 54      "predicted_shift": 2.0,
 55      "abs_error": 4.440892098500626e-16
 56    },
 57    {
 58      "period": 0.5,
 59      "measured_shift": 2.000000000000008,
 60      "predicted_shift": 2.0,
 61      "abs_error": 7.993605777301127e-15
 62    },
 63    {
 64      "period": 1.0,
 65      "measured_shift": 1.999999999999962,
 66      "predicted_shift": 2.0,
 67      "abs_error": 3.7969627442180354e-14
 68    },
 69    {
 70      "period": 2.0,
 71      "measured_shift": 2.000000000000001,
 72      "predicted_shift": 2.0,
 73      "abs_error": 8.881784197001252e-16
 74    },
 75    {
 76      "period": 5.0,
 77      "measured_shift": 2.000000000000003,
 78      "predicted_shift": 2.0,
 79      "abs_error": 3.1086244689504383e-15
 80    },
 81    {
 82      "period": 10.0,
 83      "measured_shift": 2.000000000000004,
 84      "predicted_shift": 2.0,
 85      "abs_error": 3.9968028886505635e-15
 86    },
 87    {
 88      "period": 20.0,
 89      "measured_shift": 2.0000000000000058,
 90      "predicted_shift": 2.0,
 91      "abs_error": 5.773159728050814e-15
 92    },
 93    {
 94      "period": 50.0,
 95      "measured_shift": 1.9999999999999813,
 96      "predicted_shift": 2.0,
 97      "abs_error": 1.865174681370263e-14
 98    },
 99    {
100      "period": 100.0,
101      "measured_shift": 2.0,
102      "predicted_shift": 2.0,
103      "abs_error": 0.0
104    }
105  ],
106  "boundaries": [
107    {
108      "period": 0.01,
109      "floquet_boundary": 1.4680881939744634,
110      "adiabatic_boundary": 1.5683050697380252
111    },
112    {
113      "period": 0.03,
114      "floquet_boundary": 1.46657553074948,
115      "adiabatic_boundary": 1.5683050697380252
116    },
117    {
118      "period": 0.1,
119      "floquet_boundary": 1.449437409619099,
120      "adiabatic_boundary": 1.5683050697380252
121    },
122    {
123      "period": 0.2,
124      "floquet_boundary": 1.393732130808726,
125      "adiabatic_boundary": 1.5683050697380252
126    },
127    {
128      "period": 0.5,
129      "floquet_boundary": 1.016752716181008,
130      "adiabatic_boundary": 1.5683050697380252
131    },
132    {
133      "period": 1.0,
134      "floquet_boundary": null,
135      "adiabatic_boundary": 1.5683050697380252
136    },
137    {
138      "period": 2.0,
139      "floquet_boundary": 1.5583313646667587,
140      "adiabatic_boundary": 1.5683050697380252
141    },
142    {
143      "period": 5.0,
144      "floquet_boundary": 1.5593742293049775,
145      "adiabatic_boundary": 1.5683050697380252
146    },
147    {
148      "period": 10.0,
149      "floquet_boundary": 1.5572627724553543,
150      "adiabatic_boundary": 1.5683050697380252
151    },
152    {
153      "period": 20.0,
154      "floquet_boundary": 1.5523482268038054,
155      "adiabatic_boundary": 1.5683050697380252
156    },
157    {
158      "period": 50.0,
159      "floquet_boundary": 1.4951173452888626,
160      "adiabatic_boundary": 1.5683050697380252
161    },
162    {
163      "period": 100.0,
164      "floquet_boundary": 1.5684211193771402,
165      "adiabatic_boundary": 1.5683050697380252
166    }
167  ],
168  "mean_matrix_edge": 1.4682773471840895,
169  "correction": [
170    {
171      "period": 0.01,
172      "frequency": 628.3185307179587,
173      "floquet_gamma": 1.468088193974482,
174      "constant_mean_gamma": 1.4682773471840895,
175      "correction": -0.00018915320960743998
176    },
177    {
178      "period": 0.03,
179      "frequency": 209.43951023931956,
180      "floquet_gamma": 1.4665755307494792,
181      "constant_mean_gamma": 1.4682773471840895,
182      "correction": -0.0017018164346103148
183    },
184    {
185      "period": 0.1,
186      "frequency": 62.83185307179586,
187      "floquet_gamma": 1.4494374096190983,
188      "constant_mean_gamma": 1.4682773471840895,
189      "correction": -0.01883993756499125
190    },
191    {
192      "period": 0.2,
193      "frequency": 31.41592653589793,
194      "floquet_gamma": 1.393732130808726,
195      "constant_mean_gamma": 1.4682773471840895,
196      "correction": -0.07454521637536349
197    },
198    {
199      "period": 0.5,
200      "frequency": 12.566370614359172,
201      "floquet_gamma": 1.016752716181012,
202      "constant_mean_gamma": 1.4682773471840895,
203      "correction": -0.4515246310030776
204    },
205    {
206      "period": 1.0,
207      "frequency": 6.283185307179586,
208      "floquet_gamma": -1.4085931149999864,
209      "constant_mean_gamma": 1.4682773471840895,
210      "correction": -2.876870462184076
211    },
212    {
213      "period": 2.0,
214      "frequency": 3.141592653589793,
215      "floquet_gamma": 1.5583313646667598,
216      "constant_mean_gamma": 1.4682773471840895,
217      "correction": 0.09005401748267028
218    },
219    {
220      "period": 5.0,
221      "frequency": 1.2566370614359172,
222      "floquet_gamma": 1.559374229304981,
223      "constant_mean_gamma": 1.4682773471840895,
224      "correction": 0.09109688212089151
225    },
226    {
227      "period": 10.0,
228      "frequency": 0.6283185307179586,
229      "floquet_gamma": 1.5572627724553587,
230      "constant_mean_gamma": 1.4682773471840895,
231      "correction": 0.08898542527126918
232    },
233    {
234      "period": 20.0,
235      "frequency": 0.3141592653589793,
236      "floquet_gamma": 1.5523482268038111,
237      "constant_mean_gamma": 1.4682773471840895,
238      "correction": 0.0840708796197216
239    },
240    {
241      "period": 50.0,
242      "frequency": 0.12566370614359174,
243      "floquet_gamma": 1.4951173452888462,
244      "constant_mean_gamma": 1.4682773471840895,
245      "correction": 0.02683999810475668
246    },
247    {
248      "period": 100.0,
249      "frequency": 0.06283185307179587,
250      "floquet_gamma": 1.568421119377141,
251      "constant_mean_gamma": 1.4682773471840895,
252      "correction": 0.10014377219305137
253    }
254  ],
255  "rescue": {
256    "damping": 1.4,
257    "period": 1.0,
258    "phase_edges": [
259      0.2029871994760497,
260      0.13362294000000063
261    ],
262    "floquet_gamma": -2.8085931149999612,
263    "adiabatic_estimate": 0.16830506973802517,
264    "constant_mean_baseline": 0.06827734718408962,
265    "instantaneous_edges_positive": true,
266    "floquet_stable": true,
267    "baseline_unstable": true
268  },
269  "proxy_comparison": {
270    "periods": 20,
271    "initial_norm": 1.4142135623730951,
272    "constant_mean_final_norm": 2.436244800968783,
273    "periodic_final_norm": 1.4737631421788193e-24
274  }
275}