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W类态——贝尔-CHSH不等式违背情况的识别与量化

W-Class States-Identification and Quantification of Bell-CHSH Inequalities' Violation.

作者信息

Kalaga Joanna K, Leoński Wiesław, Peřina Jan

机构信息

Quantum Optics and Engineering Division, Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland.

Joint Laboratory of Optics of Palacký University and Institute of Physics of AS CR, Faculty of Science, Palacký University, 17. listopadu 12, 779 00 Olomouc, Czech Republic.

出版信息

Entropy (Basel). 2024 Dec 18;26(12):1107. doi: 10.3390/e26121107.

DOI:10.3390/e26121107
PMID:39766736
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11675225/
Abstract

We discuss a family of W-class states describing three-qubit systems. For such systems, we analyze the relations between the entanglement measures and the nonlocality parameter for a two-mode mixed state related to the two-qubit subsystem. We find the conditions determining the boundary values of the negativity, parameterized by concurrence, for violating the Bell-CHSH inequality. Additionally, we derive the value ranges of the mixedness measure, parameterized by concurrence and negativity for the qubit-qubit mixed state, guaranteeing the violation and non-violation of the Bell-CHSH inequality.

摘要

我们讨论了描述三量子比特系统的一族W类态。对于此类系统，我们分析了与两量子比特子系统相关的双模混合态的纠缠度量与非局域性参数之间的关系。我们找到了由并发度参数化的负性的边界值违反贝尔-CHSH不等式的条件。此外，我们推导了由并发度和负性参数化的量子比特-量子比特混合态的混合度度量的取值范围，以保证贝尔-CHSH不等式的违反和不违反情况。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/df053c2782b4/entropy-26-01107-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/575a5f2ba0b3/entropy-26-01107-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/f219218c188c/entropy-26-01107-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/287e1e068b0d/entropy-26-01107-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/094b4c94783b/entropy-26-01107-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/4a86f8d3d5c9/entropy-26-01107-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/df053c2782b4/entropy-26-01107-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/575a5f2ba0b3/entropy-26-01107-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/f219218c188c/entropy-26-01107-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/287e1e068b0d/entropy-26-01107-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/094b4c94783b/entropy-26-01107-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/4a86f8d3d5c9/entropy-26-01107-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6de1/11675225/df053c2782b4/entropy-26-01107-g006.jpg

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本文引用的文献

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Relativistic Bell Test within Quantum Reference Frames.量子参考系中的相对论性贝尔测试
Phys Rev Lett. 2021 Jun 11;126(23):230403. doi: 10.1103/PhysRevLett.126.230403.
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Efficient Randomness Certification by Quantum Probability Estimation.通过量子概率估计实现高效的随机性认证
Phys Rev Res. 2020;2(1). doi: 10.1103/physrevresearch.2.013016.
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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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Arbitrarily Many Independent Observers Can Share the Nonlocality of a Single Maximally Entangled Qubit Pair.任意数量的独立观测者都可以共享单个最大纠缠量子比特对的非定域性。
Phys Rev Lett. 2020 Aug 28;125(9):090401. doi: 10.1103/PhysRevLett.125.090401.
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Entanglement Swapping with Semiconductor-Generated Photons Violates Bell's Inequality.半导体产生的光子的纠缠交换违背了贝尔不等式。
Phys Rev Lett. 2019 Oct 18;123(16):160502. doi: 10.1103/PhysRevLett.123.160502.
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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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Device-independent security of quantum cryptography against collective attacks.量子密码学针对集体攻击的与设备无关的安全性。
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Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox.引导、纠缠、非定域性与爱因斯坦 - 波多尔斯基 - 罗森悖论
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