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通过非锐非局域测量实现爱因斯坦 - 波多尔斯基 - 罗森操控共享的激活

Activation of Einstein-Podolsky-Rosen steering sharing with unsharp nonlocal measurements.

作者信息

Han Xin-Hong, Qian Tian, Dong Shan-Chuan, Wang Shuo, Xiao Ya, Gu Yong-Jian

机构信息

College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao, 266100, People's Republic of China.

College of Computer Science and Technology, Shandong University of Technology, Zibo, 255000, People's Republic of China.

出版信息

Sci Rep. 2024 May 20;14(1):11462. doi: 10.1038/s41598-024-61649-4.

DOI:10.1038/s41598-024-61649-4
PMID:38769348
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11636863/
Abstract

Einstein-Podolsky-Rosen (EPR) steering is commonly shared among multiple observers by utilizing unsharp measurements. Nevertheless, their usage is restricted to local measurements and does not encompass all nonlocal measurement-based cases. In this work, a method for finding beneficial local measurement settings has been expanded to include nonlocal measurement cases. This method is applicable for any bipartite state and offers benefits even in scenarios with a high number of measurement settings. Using the Greenberger-Horne-Zeilinger state as an illustration, we show that employing unsharp nonlocal measurements can activate the phenomenon of steering sharing in contrast to using local measurements. Furthermore, our findings demonstrate that nonlocal measurements with unequal strength possess a greater activation capability compared to those with equal strength. Our activation method generates fresh concepts for conservation and recycling quantum resources.

摘要

爱因斯坦 - 波多尔斯基 - 罗森(EPR)引导通常通过使用非锐测量在多个观察者之间共享。然而,它们的使用仅限于局部测量,并不涵盖所有基于非局部测量的情况。在这项工作中,一种寻找有益局部测量设置的方法已扩展到包括非局部测量情况。该方法适用于任何二分态,并且即使在具有大量测量设置的场景中也具有优势。以格林伯格 - 霍恩 - 泽林格态为例,我们表明与使用局部测量相比,采用非锐非局部测量可以激活引导共享现象。此外,我们的研究结果表明,强度不等的非局部测量比强度相等的非局部测量具有更大的激活能力。我们的激活方法为量子资源的守恒和回收产生了新的概念。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/1c7e765a5a22/41598_2024_61649_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/1c4d3ff38743/41598_2024_61649_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/ec72594aa2e1/41598_2024_61649_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/76c2a0bc7344/41598_2024_61649_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/1c7e765a5a22/41598_2024_61649_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/1c4d3ff38743/41598_2024_61649_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/ec72594aa2e1/41598_2024_61649_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/76c2a0bc7344/41598_2024_61649_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/60d7/11636863/1c7e765a5a22/41598_2024_61649_Fig4_HTML.jpg

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本文引用的文献

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Projective Measurements Are Sufficient for Recycling Nonlocality.投影测量足以实现非局域性的回收利用。
Phys Rev Lett. 2022 Dec 2;129(23):230402. doi: 10.1103/PhysRevLett.129.230402.
2
Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits.实验测量设备无关的量子导引和超越量子比特的随机性生成。
Phys Rev Lett. 2019 Oct 25;123(17):170402. doi: 10.1103/PhysRevLett.123.170402.
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Experimental Validation of Quantum Steering Ellipsoids and Tests of Volume Monogamy Relations.量子导引椭球的实验验证和体积单一性关系的检验。
Phys Rev Lett. 2019 Feb 22;122(7):070402. doi: 10.1103/PhysRevLett.122.070402.
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Maximal Randomness Generation from Steering Inequality Violations Using Qudits.用量子比特从导引不等式违背中产生最大随机性。
Phys Rev Lett. 2018 Jun 29;120(26):260401. doi: 10.1103/PhysRevLett.120.260401.
5
Demonstration of Multisetting One-Way Einstein-Podolsky-Rosen Steering in Two-Qubit Systems.两量子比特系统中多设置单向爱因斯坦-波多尔斯基-罗森引导的演示
Phys Rev Lett. 2017 Apr 7;118(14):140404. doi: 10.1103/PhysRevLett.118.140404. Epub 2017 Apr 5.
6
Experimental Quantification of Asymmetric Einstein-Podolsky-Rosen Steering.非对称爱因斯坦-波多尔斯基-罗森引导的实验量化
Phys Rev Lett. 2016 Apr 22;116(16):160404. doi: 10.1103/PhysRevLett.116.160404. Epub 2016 Apr 21.
7
Nonlocal Measurements via Quantum Erasure.通过量子擦除进行非局域测量。
Phys Rev Lett. 2016 Feb 19;116(7):070404. doi: 10.1103/PhysRevLett.116.070404. Epub 2016 Feb 18.
8
Detection of entanglement in asymmetric quantum networks and multipartite quantum steering.非对称量子网络中的纠缠检测与多方量子导引
Nat Commun. 2015 Aug 3;6:7941. doi: 10.1038/ncomms8941.
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Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements.多个观察者可以通过使用最优弱测量来共享一个纠缠对一半的非定域性。
Phys Rev Lett. 2015 Jun 26;114(25):250401. doi: 10.1103/PhysRevLett.114.250401. Epub 2015 Jun 22.
10
Quantum steering ellipsoids.量子导引椭球体
Phys Rev Lett. 2014 Jul 11;113(2):020402. doi: 10.1103/PhysRevLett.113.020402. Epub 2014 Jul 8.