Isometric tensor-network token mixer / results.json
Mechanism confirmed, baseline not beaten
1{
2 "seed": 1620,
3 "predictions": [
4 "For every N=2^k, ||T x||/||x|| = 1 exactly up to floating point.",
5 "T^*T-I is at machine precision and does not grow materially with N.",
6 "If every local gate is scaled by 1+eps, repeated-pass norm drift is (1+eps)^(k*r), k=log2(N)."
7 ],
8 "unitarity_sweep": [
9 {
10 "N": 4,
11 "levels": 2,
12 "unitarity_fro_error": 6.518129683673256e-16,
13 "norm_ratio": 1.0,
14 "predicted_norm_ratio": 1.0
15 },
16 {
17 "N": 8,
18 "levels": 3,
19 "unitarity_fro_error": 1.4324005761866033e-15,
20 "norm_ratio": 1.0,
21 "predicted_norm_ratio": 1.0
22 },
23 {
24 "N": 16,
25 "levels": 4,
26 "unitarity_fro_error": 3.1637566171101538e-15,
27 "norm_ratio": 0.9999999999999998,
28 "predicted_norm_ratio": 1.0
29 },
30 {
31 "N": 32,
32 "levels": 5,
33 "unitarity_fro_error": 3.95486773296341e-15,
34 "norm_ratio": 0.9999999999999998,
35 "predicted_norm_ratio": 1.0
36 },
37 {
38 "N": 64,
39 "levels": 6,
40 "unitarity_fro_error": 7.607348859942032e-15,
41 "norm_ratio": 0.9999999999999999,
42 "predicted_norm_ratio": 1.0
43 }
44 ],
45 "controlled_drift": [
46 {
47 "epsilon": 0.0,
48 "repetitions": 1,
49 "observed": 0.9999999999999998,
50 "predicted": 1.0,
51 "relative_error": 2.220446049250313e-16
52 },
53 {
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57 "predicted": 1.0,
58 "relative_error": 1.1102230246251565e-15
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60 {
61 "epsilon": 0.0,
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63 "observed": 0.9999999999999986,
64 "predicted": 1.0,
65 "relative_error": 1.4432899320127035e-15
66 },
67 {
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72 "relative_error": 0.0
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74 {
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86 "relative_error": 1.2800542523711052e-15
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88 {
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93 "relative_error": 4.2253564540872753e-16
94 },
95 {
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100 "relative_error": 1.0918525688072328e-15
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102 {
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107 "relative_error": 1.7896434703790782e-15
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109 {
110 "epsilon": 0.05,
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114 "relative_error": 3.479555161638265e-16
115 },
116 {
117 "epsilon": 0.05,
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119 "observed": 2.6532977051444195,
120 "predicted": 2.653297705144422,
121 "relative_error": 1.0042353158992168e-15
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123 {
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126 "observed": 7.039988712124649,
127 "predicted": 7.039988712124658,
128 "relative_error": 1.2616190963068666e-15
129 }
130 ],
131 "inverse_reconstruction_error": 3.935883022631844e-15,
132 "toy_fit": {
133 "N": 16,
134 "samples": 256,
135 "steps": 300,
136 "structured_params": 128,
137 "dense_complex_params": 256,
138 "structured_final_mse": 2.6289821430935945e-09,
139 "dense_final_mse": 6.717594010349423e-14,
140 "structured_curve": [
141 1.7592724561691284,
142 0.0034636000636965036,
143 1.7555914382683113e-05,
144 4.507657536123588e-08,
145 2.6289821430935945e-09
146 ],
147 "dense_curve": [
148 2.1629297733306885,
149 0.004571008030325174,
150 3.12544361804612e-05,
151 7.688760739199552e-10,
152 6.717594010349423e-14
153 ],
154 "seconds": 15.026386260986328,
155 "device": "cuda"
156 }
157}