Hardware execution data · IBM Heron ibm_fez · 2026
PFQM Results — Three-Scale Data
Complete per-theta metrics from QPC Polycontextural Frustrated Quantum Magnet runs at 27Q, 64Q, and 128Q on IBM Quantum backend ibm_fez (Heron class). Raw hardware counts. No error mitigation. No simulation. All job IDs listed for independent verification.
QPC advantage confirmed at all three qubit scales. Mean ICC above threshold in 6–7 of 8 theta points at each scale. ctx2 spin-liquid contexture remains most frustrated (lowest mean |ZZ|) across 27Q, 64Q, and 128Q. FSP suppression positive at mean +0.20 across all runs.
Summary across scales
Mean ICC · 27Q
0.259
7/8 θ structured
Mean ICC · 64Q
0.206
7/8 θ structured
Mean ICC · 128Q
0.187
6/8 θ structured
ctx2 |ZZ| · 27Q
0.202
Baseline: 0.427
ctx2 |ZZ| · 64Q
0.076
Baseline: 0.333
ctx2 |ZZ| · 128Q
0.101
Baseline: 0.285
FSP suppress · 27Q
+0.193
75% of θ
FSP suppress · 64Q
+0.235
62% of θ
FSP suppress · 128Q
+0.182
75% of θ
ctx2 mean |ZZ| vs baseline — all three scales
Per-theta data
Run configuration
Backend
ibm_fez (Heron class, 156Q)
Qubits
27 — three contextures of 9 qubits each
Shots
4096 per circuit
Bridge pairs
3
Per-θ metrics
θ (rad)
QPC depth
ICC
ctx0 |ZZ|
ctx1 |ZZ|
ctx2 |ZZ|
Baseline |ZZ|
FSP suppress
0.000
59
0.14176
0.82959
0.81897
0.26880
0.98498
+0.59326
0.449
56
0.50879
0.64587
0.51916
0.28589
0.30420
+0.02022
0.898
59
0.52930
0.22437
0.06457
0.09351
0.25696
+0.19004
1.346
59
0.18685
0.13428
0.15027
0.05884
0.11914
+0.03066
1.795
58
0.30306
0.19873
0.20740
0.22192
0.22107
−0.11553
2.244
55
0.26139
0.14880
0.22009
0.39062
0.24890
−0.18789
2.693
59
0.13672
0.08582
0.14343
0.27954
0.32556
+0.11592
3.142
63
0.00765
0.02173
0.02124
0.01831
0.95178
+0.89873
Run configuration
Backend
ibm_fez (Heron class, 156Q)
Qubits
64 — three contextures of 21 qubits each
Shots
4096 per circuit
Bridge pairs
5
Per-θ metrics
θ (rad)
QPC depth
ICC
ctx0 |ZZ|
ctx1 |ZZ|
ctx2 |ZZ|
Baseline |ZZ|
FSP suppress
0.000
49
0.08740
0.75208
0.71387
0.06262
0.96374
+0.87236
0.449
70
0.31131
0.60449
0.44092
0.05652
0.16870
+0.07315
0.898
72
0.44309
0.28320
0.06811
0.06653
0.05042
−0.00195
1.346
69
0.21018
0.05005
0.01843
0.01965
0.05066
+0.03603
1.795
72
0.24875
0.03455
0.03613
0.01379
0.11877
+0.10117
2.244
64
0.22287
0.01465
0.13452
0.08325
0.13086
−0.01426
2.693
68
0.10601
0.05200
0.15662
0.19190
0.23804
−0.00117
3.142
81
0.01443
0.01001
0.01868
0.11658
0.94629
+0.81162
Run configuration
Backend
ibm_fez (Heron class, 156Q)
Qubits
128 — three contextures of 42 qubits each
Shots
4096 per circuit
Bridge pairs
8
Per-θ metrics
θ (rad)
QPC depth
ICC
ctx0 |ZZ|
ctx1 |ZZ|
ctx2 |ZZ|
Baseline |ZZ|
FSP suppress
0.000
68
0.03508
0.75464
0.68115
0.07043
0.85669
+0.79883
0.449
66
0.39282
0.61865
0.45020
0.05493
0.05749
+0.01543
0.898
81
0.42440
0.25378
0.10010
0.08777
0.07336
−0.00371
1.346
78
0.13664
0.08569
0.02197
0.02222
0.05237
+0.03125
1.795
86
0.18758
0.05310
0.05676
0.00903
0.14990
+0.12119
2.244
66
0.21647
0.03272
0.13855
0.11523
0.19238
+0.05967
2.693
104
0.08903
0.06897
0.13940
0.29443
0.05347
−0.24102
3.142
99
0.01058
0.00952
0.03284
0.15588
0.84192
+0.67070
ZZ correlators vs θ — 128Q · IBM Heron ibm_fez
Hardware verification — job IDs
All runs are independently verifiable on IBM Quantum Platform using the job IDs below.
Data policy. Job IDs are provided for scientific verification. IBM account instance names, API tokens, and local file paths are not published here.