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arXiv 2404.04048quant-ph
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通过EPR引导不等式揭示量子力学与经典模型的边界

Revealing the Boundary between Quantum Mechanics and Classical Model by EPR-Steering Inequality

Nankai University(南开大学);National University of Singapore(新加坡国立大学)

Ruo-Chen Wang, Zhuo-Chen Li, Xing-Yan Fan, Xiang-Ru Xie, Hong-Hao Wei, Choo Hiap Oh, Jing-Ling Chen

AI总结:

本文通过提出最优N设置线性EPR引导不等式,解决了两比特韦纳态中EPR引导与局部隐藏状态模型边界值V_c^S=1/2的问题。

摘要:

在量子信息中,韦纳态是测试量子力学与经典模型边界的重要基准。对于两比特韦纳态,已知三个关键值:V_c^E=1/3表示纠缠与分离模型的边界,V_c^B=1/K_G(3)表示贝尔非本地性与局部隐藏变量模型的边界,而V_c^S=1/2表示EPR引导与局部隐藏状态模型的边界。迄今为止,V_c^E=1/3的问题已通过涉及正偏振部分转置准则的不等式完全解决,而如何通过不等式方法揭示其他两个临界值仍是一个开放问题。本文聚焦于EPR引导,即介于纠缠与贝尔非本地性之间的量子非本地性形式。通过提出最优N设置线性EPR引导不等式,我们成功获得了两比特韦纳态所需的值V_c^S=1/2,从而解决了长期存在的问题。

英文摘要:

In quantum information, the Werner state is a benchmark to test the boundary between quantum mechanics and classical models. There have been three well-known critical values for the two-qubit Werner state, i.e., $V_{\rm c}^{\rm E}=1/3$ characterizing the boundary between entanglement and separable model, $V_{\rm c}^{\rm B}=1/K_G(3)$ characterizing the boundary between Bell's nonlocality and the local-hidden-variable model, while $V_{\rm c}^{\rm S}=1/2$ characterizing the boundary between Einstein-Podolsky-Rosen (EPR) steering and the local-hidden-state model. So far, the problem of $V_{\rm c}^{\rm E}=1/3$ has been completely solved by an inequality involving in the positive-partial-transpose criterion, while how to reveal the other two critical values by the inequality approach are still open. In this work, we focus on EPR steering, which is a form of quantum nonlocality intermediate between entanglement and Bell's nonlocality. By proposing the optimal $N$-setting linear EPR-steering inequalities, we have successfully obtained the desired value $V_{\rm c}^{\rm S}=1/2$ for the two-qubit Werner state, thus resolving the long-standing problem.

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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