Phase-cycled randomized benchmarking of quantum processors: recovering hidden classical noise correlations

Abstract:Randomized benchmarking can hide classical temporal correlations because its Clifford-twirled response is even in the noise phase. For a stationary symmetric telegraph fluctuator, we show that continuous evolution and independent stationary resets at slot boundaries yield identical mean responses for arbitrary fixed idle modulations. We construct an eight-setting phase-cycle measurement of the connected sine-phase covariance under ideal Clifford twirling and classical idle dephasing. This observable vanishes for independent slot noise and fixed detuning without a weak-phase or Gaussian approximation. A closed telegraph response, independent circuit calculations and 800 simulation trials validate the construction and quantify the empirical coverage of a paired bootstrap estimator. A separate conservative confidence set states its finite-sample assumptions. Two acquisitions on an IBM processor compare engineered shared-sign and independently reset phases with identical marginals. Their primary contrasts are 0.254 and 0.211, with empirical 95% intervals [0.177, 0.331] and [0.136, 0.285], respectively; all negative-control intervals include zero. At equal shot and sensingwindow budgets, an ideal Ramsey/echo estimator is more precise in every tested class. The result supplies an explicit connection between a benchmarking identifiability limitation and a controlled correlation measurement. No native or quantum-memory detection is claimed.

8 pages, 3 figures. Code and data: this https URL

Emerging Technologies (cs.ET); Computation and Language (cs.CL); Distributed, Parallel, and Cluster Computing (cs.DC)

arXiv:2609.06448 [cs.ET]

(or arXiv:2609.06448v1 [cs.ET] for this version)

https://doi.org/10.48550/arXiv.2609.06448 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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