Related papers: Realigned Hardy's Paradox

Realigned Hardy's Paradox

URL: http://arxiv.org/abs/2211.13642v1
Date: Thu, 24 Nov 2022 14:45:39 GMT
Title: Realigned Hardy's Paradox
Authors: Shuai Zhao, Qing Zhou, Si-Ran Zhao, Xin-Yu Xu, Wen-Zhao Liu, Li Li, Nai-Le Liu, Qiang Zhang, Jing-Ling Chen, Kai Chen
Abstract summary: Hardy's paradox certifies that quantum mechanics cannot be completely described by local realistic theory. We propose a realigned Hardy's paradox to overcome this problem. One can anticipate that the realigned Hardy's paradox can tolerate more experimental imperfections.
Score: 18.40864487417613
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Hardy's paradox provides an all-versus-nothing fashion to directly certify that quantum mechanics cannot be completely described by local realistic theory. However, when considering potential imperfections in experiments, like imperfect entanglement source and low detection efficiency, the original Hardy's paradox may induce a rather small Hardy violation and only be realized by expensive quantum systems. To overcome this problem, we propose a realigned Hardy's paradox. Compared with the original version of Hardy's paradox, the realigned Hardy's paradox can dramatically improve the Hardy violation. Then, we generalize the realigned Hardy's paradox to arbitrary even $n$ dichotomic measurements. For $n=2$ and $n=4$ cases, the realigned Hardy's paradox can achieve Hardy values $P(00|A_1B_1)$ approximate $0.4140$ and $0.7734$ respectively compared with $0.09$ of the original Hardy's paradox. Meanwhile, the structure of the realigned Hardy's paradox is simpler and more robust in the sense that there is only one Hardy condition rather than three conditions. One can anticipate that the realigned Hardy's paradox can tolerate more experimental imperfections and stimulate more fascinating quantum information applications.

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