Conjecture that the Hausdorff dimension of the frontier of the SFF random walk approaches 4/3 for chaotic Hamiltonians and 1 for integrable ones, with proofs of Gaussian statistics under Lyapunov conditions on degeneracies and exact moments for unequal-step walks.
Liu, Spectral form factors and late time quantum chaos, Phys
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Temporal fluctuations of the aSTC distinguish integrable and chaotic regimes in both closed and open long-range XYZ spin chains, retaining diagnostic power under non-Markovian noise where OTOC fails.
Modified Quantum Volume test uses restricted universal circuits to directly determine heavy outputs without exponential classical simulation cost.
citing papers explorer
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Integrability and Chaos via fractal analysis of Spectral Form Factors: Gaussian approximations and exact results
Conjecture that the Hausdorff dimension of the frontier of the SFF random walk approaches 4/3 for chaotic Hamiltonians and 1 for integrable ones, with proofs of Gaussian statistics under Lyapunov conditions on degeneracies and exact moments for unequal-step walks.
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Quantum mutual information as a robust probe of integrability in open quantum systems
Temporal fluctuations of the aSTC distinguish integrable and chaotic regimes in both closed and open long-range XYZ spin chains, retaining diagnostic power under non-Markovian noise where OTOC fails.
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Benchmarking quantum devices beyond classical capabilities
Modified Quantum Volume test uses restricted universal circuits to directly determine heavy outputs without exponential classical simulation cost.