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arXiv:2411.14944 · Science China Physics Mechanics and Astronomy

Credible-interval-based adaptive Bayesian quantum frequency estimation for entanglement-enhanced atomic clocks

Jungeng Zhou, Jiahao Huang, Jinye Wei, Chengyin Han, Chaohong Lee

Published Jan 4, 2026• 3 citations
arXivHTMLPDF
DOI
10.1007/s11433-025-2840-8

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Fidelity estimation for entangled states constitutes an essential building block for quality control and error detection in quantum networks. Nonetheless, quantum networks often encounter heterogeneous and correlated noise, leading to excessive uncertainty in the estimated fidelity. In this paper, the uncertainty associated with the estimated fidelity under conditions of general noise is constrained by jointly employing random sampling, a thought experiment, and Bayesian inference, resulting in a credible interval for fidelity that is valid in the presence of general noise. The proposed credible interval incorporates all even moments of the posterior distribution to enhance estimation accuracy. Factors influencing the estimation accuracy are identified and analyzed. Specifically, the issue of excessive measurements is addressed, emphasizing the necessity of properly determining the measurement ratio for fidelity estimation under general noise conditions.