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具有固定非结论性结果率的量子态判别中的互信息与量子失协

Mutual Information and Quantum Discord in Quantum State Discrimination with a Fixed Rate of Inconclusive Outcomes.

作者信息

Jiménez Omar, Solís-Prosser Miguel Angel, Neves Leonardo, Delgado Aldo

机构信息

Centro de Óptica e Información Cuántica, Facultad de Ciencias, Universidad Mayor, Camino La Pirámide N°5750, Huechuraba 8580745, Chile.

Departamento de Ciencias Físicas, Universidad de La Frontera, Temuco 4811230, Chile.

出版信息

Entropy (Basel). 2021 Jan 6;23(1):73. doi: 10.3390/e23010073.

DOI:10.3390/e23010073
PMID:33418984
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7825295/
Abstract

We studied the mutual information and quantum discord that Alice and Bob share when Bob implements a discrimination with a fixed rate of inconclusive outcomes (FRIO) onto two pure non-orthogonal quantum states, generated with arbitrary a priori probabilities. FRIO discrimination interpolates between minimum error (ME) and unambiguous state discrimination (UD). ME and UD are well known discrimination protocols with several applications in quantum information theory. FRIO discrimination provides a more general framework where the discrimination process together with its applications can be studied. In this setting, we compared the performance of optimum probability of discrimination, mutual information, and quantum discord. We found that the accessible information is obtained when Bob implements the ME strategy. The most (least) efficient discrimination scheme is ME (UD), from the point of view of correlations that are lost in the initial state and remain in the final state, after Bob's measurement.

摘要

我们研究了在鲍勃对两个具有任意先验概率生成的纯非正交量子态执行具有固定非结论性结果率（FRIO）的区分时，爱丽丝和鲍勃共享的互信息和量子失协。FRIO区分在最小错误（ME）和无歧义态区分（UD）之间进行插值。ME和UD是量子信息理论中有多种应用的著名区分协议。FRIO区分提供了一个更通用的框架，在此框架中可以研究区分过程及其应用。在此设置下，我们比较了最优区分概率、互信息和量子失协的性能。我们发现当鲍勃执行ME策略时可获得可达信息。从鲍勃测量后初始态中丢失而最终态中保留的相关性角度来看，最（最不）有效的区分方案是ME（UD）。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/e082aa41c93c/entropy-23-00073-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/075fba3ee8f7/entropy-23-00073-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/ba2efa512751/entropy-23-00073-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/a1208bcb37bc/entropy-23-00073-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/02b74ffef430/entropy-23-00073-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/e082aa41c93c/entropy-23-00073-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/075fba3ee8f7/entropy-23-00073-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/ba2efa512751/entropy-23-00073-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/a1208bcb37bc/entropy-23-00073-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/02b74ffef430/entropy-23-00073-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7a5c/7825295/e082aa41c93c/entropy-23-00073-g005.jpg

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