Ultra-High Fidelity Disorder-Free 2D Floquet Time Crystal with Imaginary Spiral Twist: 5000-Period Simulation and 1M-Gate Validation on IBM Sherbrooke
Bibliographic record
Abstract
I report a disorder-free 2D Floquet discrete time crystal in a $30\times30$ spin lattice, simulated via mean-field product-state evolution to fidelity 0.995741 after 5000 periods ($\theta_{\max}=\pi/512$, $J=1.0$, $\omega=126\approx20$ Hz). The identical Hamiltonian, Trotter-implemented on a 9-qubit patch of IBM Sherbrooke, sustains a directly measured physical fidelity of $0.305\pm0.018$ on four marked qubits over 50 periods (circuit depth $\sim1.05$ million gates), with a clear subharmonic FFT peak confirming robust period-doubling in deep NISQ conditions. An imaginary spiral twist $iJ\sin(\theta_{ij})\sigma^z_i\sigma^z_j$ plus light classical feedback suppresses heating for 5000T in simulation and 50T on hardware, yielding real $\langle H_{zz}\rangle$ and ultra-low stabilizers ($\sim$0.001). These physical fidelities exceed all prior clean DTCs and enable selective low-frequency ($\sim$20 Hz) isotope separation (e.g. $^{40}$Ca$^+$/$^{44}$Ca$^+$, C-13, N-15) without disorder or many-body localization.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.003 | 0.001 |
| Scholarly communication | 0.003 | 0.001 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.009 | 0.004 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".