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基于滤波随机态的CHSH - 贝尔不等式的保真度鲁棒性

On the Fidelity Robustness of CHSH-Bell Inequality via Filtered Random States.

作者信息

Mandarino Antonio, Scala Giovanni

机构信息

International Centre for Theory of Quantum Technologies, University of Gdańsk, Jana Bażyńskiego 1A, 80-309 Gdańsk, Poland.

出版信息

Entropy (Basel). 2023 Jan 3;25(1):94. doi: 10.3390/e25010094.

DOI:10.3390/e25010094
PMID:36673235
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9858419/
Abstract

The theorem developed by John Bell constituted the starting point of a revolution that translated a philosophical question about the nature of reality into the broad and intense field of research of the quantum information technologies. We focus on a system of two qubits prepared in a random, mixed state, and we study the typical behavior of their nonlocality via the CHSH-Bell inequality. Afterward, motivated by the necessity of accounting for inefficiency in the state preparation, we address to what extent states close enough to one with a high degree of nonclassicality can violate local realism with a previously chosen experimental setup.

摘要

约翰·贝尔提出的定理构成了一场革命的起点,这场革命将一个关于现实本质的哲学问题转化为量子信息技术广阔而活跃的研究领域。我们关注处于随机混合态的两个量子比特组成的系统,并通过CHSH-贝尔不等式研究它们非定域性的典型行为。之后,出于考虑态制备中效率问题的必要性,我们探讨在多大程度上,足够接近具有高度非经典性的态能够利用先前选定的实验装置违背局域实在论。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/11a38478378d/entropy-25-00094-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/d73b30d220af/entropy-25-00094-g0A1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/a8033c641875/entropy-25-00094-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/3cf50e892f92/entropy-25-00094-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/11a38478378d/entropy-25-00094-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/d73b30d220af/entropy-25-00094-g0A1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/a8033c641875/entropy-25-00094-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/3cf50e892f92/entropy-25-00094-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f9e0/9858419/11a38478378d/entropy-25-00094-g003.jpg

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本文引用的文献

1
What is Nonclassical about Uncertainty Relations?不确定性关系的非经典之处是什么?
Phys Rev Lett. 2022 Dec 9;129(24):240401. doi: 10.1103/PhysRevLett.129.240401.
2
Entanglement of Three-Qubit Random Pure States.三量子比特随机纯态的纠缠
Entropy (Basel). 2018 Sep 29;20(10):745. doi: 10.3390/e20100745.
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Generalizing Optimal Bell Inequalities.推广最优贝尔不等式。
Phys Rev Lett. 2020 Nov 13;125(20):200401. doi: 10.1103/PhysRevLett.125.200401.
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Strong Loophole-Free Test of Local Realism.局域实在论的强无漏洞检验
Phys Rev Lett. 2015 Dec 18;115(25):250402. doi: 10.1103/PhysRevLett.115.250402. Epub 2015 Dec 16.
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Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons.利用纠缠光子对贝尔定理进行的重大无漏洞测试。
Phys Rev Lett. 2015 Dec 18;115(25):250401. doi: 10.1103/PhysRevLett.115.250401. Epub 2015 Dec 16.
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Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres.使用相隔 1.3 公里的电子自旋实现无漏洞的贝尔不等式违背。
Nature. 2015 Oct 29;526(7575):682-6. doi: 10.1038/nature15759. Epub 2015 Oct 21.
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Violation of local realism with freedom of choice.违背局部实在论和拥有自由选择权。
Proc Natl Acad Sci U S A. 2010 Nov 16;107(46):19708-13. doi: 10.1073/pnas.1002780107. Epub 2010 Nov 1.
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Violation of Bell's inequality in Josephson phase qubits.约瑟夫森相位量子比特中贝尔不等式的违背
Nature. 2009 Sep 24;461(7263):504-6. doi: 10.1038/nature08363.
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Bell inequality violation with two remote atomic qubits.利用两个远程原子量子比特违反贝尔不等式。
Phys Rev Lett. 2008 Apr 18;100(15):150404. doi: 10.1103/PhysRevLett.100.150404.