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Related papers: Hardy's non-locality and generalized non-local the…

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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…

Quantum Physics · Physics 2023-04-18 Duc Minh Tran , Van-Duy Nguyen , Le Bin Ho , Hung Q. Nguyen

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

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

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

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

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)…

Quantum Physics · Physics 2012-06-25 Shane Mansfield , Tobias Fritz

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

Logical nonlocality is completely characterized by Hardy's "paradox" in (2,2,l) and (2,k,2) scenarios. We consider a variety of consequences and applications of this fact. (i) Polynomial algorithms may be given for deciding logical…

Quantum Physics · Physics 2017-02-28 Shane Mansfield

Recently,the principle of nonviolation of information causality [Nature 461,1101 (2009)], has been proposed as one of the foundational properties of nature. We explore the Hardy's nonlocality theorem for two qubit systems, in the context of…

Quantum Physics · Physics 2013-01-17 Ali Ahanj , Samir Kunkri , Ashutosh Rai , Ramij Rahaman , Pramod S. Joag

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

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

The set of multiparty correlations that respect all bi-partite principles has been conjectured to be same as the set of time-ordered-bi-local correlations. Based on this conjuncture we find the maximum value of success probability of…

Quantum Physics · Physics 2013-11-20 Subhadipa Das , Manik Banik , M. D. Rajjak Gazi , Ashutosh Rai , Samir Kunkri , Ramij Rahaman

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

Here we deal with a nonlocality argument proposed by Cabello which is more general than Hardy's nonlocality argument but still maximally entangled states do not respond. However, for most of the other entangled states maximum probability of…

Quantum Physics · Physics 2009-11-11 Samir Kunkri , Sujit K. Choudhary , Ali Ahanj , Promod Joag

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

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

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

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

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…

Non-locality without inequality is an elegant argument introduced by L. Hardy for two qubit systems, and later generalised to $n$ qubits, to establish contradiction of quantum theory with local realism. Interestingly, for $n=2$ this…

Quantum Physics · Physics 2015-05-19 Sibasish Ghosh , Shasanka Mohan Roy
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