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Hardy's non-locality theorem for multiple two-level systems is explored in the context of generalized nonlocal theory. We find nonlocal but non-signaling probabilities, providing Hardy's nonlocal argument, which are higher than those in…

Quantum Physics · Physics 2011-11-01 Sujit K. Choudhary , Sibasish Ghosh , Guruprasad Kar , Samir Kunkri , Ramij Rahaman , Anirban Roy

Hardy's nonlocality argument, which establishes incompatibility of quantum theory with local-realism, can also be used to reveal the time-nonlocal feature of quantum states. For spin-1/2 systems, the maximum probability of success of this…

Quantum Physics · Physics 2013-02-22 Sujit K Choudhary , Sandeep K Goyal , Thomas Konrad , Sibasish Ghosh

The amount of nonlocality in quantum theory is limited compared to that allowed in generalized no-signaling theory [Found. Phys. 24, 379 (1994)]. This feature, for example, gets manifested in the amount of Bell inequality violation as well…

Quantum Physics · Physics 2014-03-31 Subhadipa Das , Manik Banik , Md. Rajjak Gazi , Ashutosh Rai , Samir Kunkri

Nonlocality can be studied through different approaches, such as Bell's inequalities, and it can be found in numerous quantum states, including GHZ states or graph states. Hardy's paradox, or Hardy-type nonlocality, provides a way to…

Quantum Physics · Physics 2026-01-09 Duc Manh Doan , Hung Q. Nguyen

Genuine multipartite nonlocality is a salient feature of quantum systems, empowering the security of multi-party device independent cryptographic protocols. Given a correlation, characterizing and detecting genuineness have been subjected…

Quantum Physics · Physics 2015-07-28 Some Sankar Bhattacharya , Arup Roy , Amit Mukherjee , Ramij Rahaman

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…

Quantum Physics · Physics 2013-01-17 MD. Rajjak Gazi , Ashutosh Rai , Samir Kunkri , Ramij Rahaman

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…

Quantum Physics · Physics 2021-02-25 Soumya Das , Goutam Paul

Recent advancements have expanded Hardy's nonlocality arguments into multisetting and multidimensional systems to enhance quantum correlations. In comparison with Hardy's nonlocal argument, Cabello's nonlocal argument (CNA) emerges as a…

Quantum Physics · Physics 2026-03-25 Ming Yang , Dongkai Zhang , Lixiang Chen

Quantum nonlocality is typically assigned to systems of two or more well separated particles, but nonlocality can also exist in systems consisting of just a single particle, when one considers the subsystems to be distant spatial field…

Quantum Physics · Physics 2015-03-13 Libby Heaney , Adan Cabello , Marcelo F. Santos , Vlatko Vedral

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…

Quantum Physics · Physics 2014-01-08 Jing-Ling Chen , Adan Cabello , Zhen-Peng Xu , Hong-Yi Su , Chunfeng Wu , L. C. Kwek

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…

Quantum Physics · Physics 2024-04-10 Kai-Siang Chen , Shiladitya Mal , Gelo Noel M. Tabia , Yeong-Cherng Liang

Recently, Chen et al introduced an alternative form of Hardy's paradox for $2$-settings and high-dimensional systems [Phy. Rev. A 88, 062116 (2013)], in which there is a great progress in improving the maximum probability of the nonlocal…

Quantum Physics · Physics 2018-12-12 H. X. Meng , J. Zhou , Z. P. Xu , H. Y. Su , T. Gao , F. L. Yan , J. L. Chen

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…

Recently, Gallego et.al. [Phys. Rev. Lett 107, 210403 (2011)] proved that any future information principle aiming at distinguishing between quantum and post-quantum correlation must be intrinsically multipartite in nature. We establish…

Quantum Physics · Physics 2013-01-18 Subhadipa Das , Manik Banik , Ashutosh Rai , MD Rajjak Gazi , Samir Kunkri

Hardy's is one of the simplest arguments concerning non-locality. Recently Chen et. al. have proposed a more generalized Hardy-like argument and have shown that the probability of success increases with local system's dimension. Here we…

Quantum Physics · Physics 2015-07-28 Some Sankar Bhattacharya , Arup Roy , Amit Mukherjee , Ramij Rahaman

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…

Quantum Physics · Physics 2018-04-03 Tobias Fritz

Hardy's argument constitutes an elegant proof of quantum nonlocality. In this work, we report an exotic application of Hardy's nonlocal correlations in two-party communication setup. We come up with a task, wherein a positive payoff can be…

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…

Quantum Physics · Physics 2018-02-07 Shu-Han Jiang , Zhen-Peng Xu , Hong-Yi Su , Arun Kumar Pati , Jing-Ling Chen

We generalize Hardy's proof of nonlocality to the case of bipartite mixed statistical operators, and we exhibit a necessary condition which has to be satisfied by any given mixed state $\sigma$ in order that a local and realistic hidden…

Quantum Physics · Physics 2009-11-13 GianCarlo Ghirardi , Luca Marinatto

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

Quantum Physics · Physics 2009-11-07 Xu-Bo Zou , Hai-Woong Lee , Jaewan Kim , Jae-Weon Lee , Eok Kyun Lee
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