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Hardy's non-locality paradox is a proof without inequalities showing that certain non-local correlations violate local realism. It is `possibilistic' in the sense that one only distinguishes between possible outcomes (positive probability)…

量子物理 · 物理学 2012-06-25 Shane Mansfield , Tobias Fritz

As with a Bell inequality, Hardy's paradox manifests a contradiction between the prediction given by quantum theory and local-hidden variable theories. In this work, we give two generalizations of Hardy's arguments for manifesting such a…

量子物理 · 物理学 2024-04-10 Kai-Siang Chen , Shiladitya Mal , Gelo Noel M. Tabia , Yeong-Cherng Liang

Since the pillars of quantum theory were established, it was already noted that quantum physics may allow certain correlations defying any local realistic picture of nature, as first recognized by Einstein, Podolsky and Rosen. These quantum…

Hardy's nonlocality is a "nonlocality proof without inequalities": it exemplifies that quantum correlations can be qualitatively stronger than classical correlations. This paper introduces variants of Hardy's nonlocality in the CHSH…

量子物理 · 物理学 2018-04-03 Tobias Fritz

Local realistic models cannot completely describe all predictions of quantum mechanics. This is known as Bell's theorem that can be revealed either by violations of Bell inequality, or all-versus-nothing proof of nonlocality. Hardy's…

We establish a quantitative relation between Hardy's paradox and the breaking of uncertainty principle in the sense of measurement-disturbance relations in the conditional measurement of non-commuting operators. The analysis of the…

量子物理 · 物理学 2015-06-23 Kazuo Fujikawa , C. H. Oh , Sixia Yu

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…

量子物理 · 物理学 2022-11-28 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

Tests such as Bell's inequality and Hardy's paradox show that joint probabilities and correlations between distant particles in quantum mechanics are inconsistent with local realistic theories. Here we experimentally demonstrate these…

Quantum mechanics allows systems to be entangled with each other, which results in stronger than classical correlations. Many methods of identifying entanglement have been proposed over years, most of which are based on violating some…

量子物理 · 物理学 2014-12-31 Ramij Rahaman , Marcin Wieśniak , Marek Żukowski

Bell's theorem states that quantum mechanical description on physical quantity cannot be fully explained by local realistic theories, and lays solid basis for various quantum information applications. Hardy's paradox is celebrated to be the…

量子物理 · 物理学 2024-08-09 Si-Ran Zhao , Shuai Zhao , Hai-Hao Dong , Wen-Zhao Liu , Jing-Ling Chen , Kai Chen , Qiang Zhang , Jian-Wei Pan

Here we present the most general framework for $n$-particle Hardy's paradoxes, which include Hardy's original one and Cereceda's extension as special cases. Remarkably, for any $n\ge 3$ we demonstrate that there always exist generalized…

量子物理 · 物理学 2018-02-07 Shu-Han Jiang , Zhen-Peng Xu , Hong-Yi Su , Arun Kumar Pati , Jing-Ling Chen

A classical probabilistic explanation for Hardy's quantum paradox is demonstrated.

量子物理 · 物理学 2011-09-07 J. F. Geurdes

In the present Note it is shown that Hardy thought experiment does not lead to any paradox and its explanation can be made by using quantum mechanical methods, without the need of weak measurements theories. The confusion arising about this…

量子物理 · 物理学 2012-11-21 Y. Ben-Aryeh

By applying Hardy's argument, we demonstrate the violation of local realism in a gedanken experiment using independent and separated particle sources.

量子物理 · 物理学 2009-11-07 Xu-Bo Zou , Hai-Woong Lee , Jaewan Kim , Jae-Weon Lee , Eok Kyun Lee

Hardy's paradox (equivalently, Hardy's non-locality or Hardy's test) [\href{https://link.aps.org/doi/10.1103/PhysRevLett.68.2981}{L. Hardy, Phys. Rev. Lett. \textbf{68}, 2981 (1992)}] is used to show non-locality without inequalities and it…

量子物理 · 物理学 2021-02-25 Soumya Das , Goutam Paul

Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local…

量子物理 · 物理学 2014-01-08 Jing-Ling Chen , Adan Cabello , Zhen-Peng Xu , Hong-Yi Su , Chunfeng Wu , L. C. Kwek

Depending on the way one measures, quantum nonlocality might manifest more visibly. Using basis transformations and interactions on a particle pair, Hardy logically argued that any local hidden variable theory leads to a paradox. Extended…

量子物理 · 物理学 2023-04-18 Duc Minh Tran , Van-Duy Nguyen , Le Bin Ho , Hung Q. Nguyen

Contextuality and nonlocality are two fundamental properties of nature. Hardy's proof is considered the simplest proof of nonlocality and can also be seen as a particular violation of the simplest Bell inequality. A fundamental question is:…

量子物理 · 物理学 2013-11-01 Adan Cabello , Piotr Badziag , Marcelo Terra Cunha , Mohamed Bourennane

Study of nonlocal correlations in term of Hardy's argument has been quite popular in quantum mechanics. Recently Hardy's argument of non-locality has been studied in the context of generalized non-signaling theory as well as theory…

量子物理 · 物理学 2013-01-17 MD. Rajjak Gazi , Ashutosh Rai , Samir Kunkri , Ramij Rahaman

Certain predictions of quantum theory are not compatible with the notion of local-realism. This was the content of Bell's famous theorem of the year 1964. Bell proved this with the help of an inequality, famously known as Bell's inequality.…

量子物理 · 物理学 2016-10-06 Sujit K Choudhary , Pankaj Agrawal
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