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arXiv 2409.19282quant-ph
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一般噪声场景下纠缠态保真度的可靠区间估计

Reliable Interval Estimation for the Fidelity of Entangled States in Scenarios with General Noise

Liangzhong Ruan, Bas Dirkse

AI总结:

针对量子网络中一般噪声导致纠缠态保真度估计不确定的问题,提出联合随机抽样、思想实验与贝叶斯推断构建可信区间,并结合后验分布偶数阶矩提升精度,分析了影响精度的因素及测量比例的确定。

摘要:

纠缠态的保真度估计构成了量子网络中质量控制和错误检测的基本构件。尽管如此,量子网络经常遇到异构和相关噪声,导致估计保真度过度不确定。本文通过联合采用随机抽样、思想实验和贝叶斯推断,约束了一般噪声条件下估计保真度相关的不确定性,从而得到在一般噪声存在时有效的保真度可信区间。所提出的可信区间结合了后验分布的所有偶数阶矩以提升估计精度。识别并分析了影响估计精度的因素。具体而言,探讨了过度测量问题,强调了一般噪声条件下正确确定保真度估计测量比例的必要性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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