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In this Letter we compute an analogue of Tsirelson's bound for Hardy's test of nonlocality, that is, the maximum violation of locality constraints allowed by the quantum formalism, irrespective of the dimension of the system. The value is…

Quantum Physics · Physics 2015-06-05 Rafael Rabelo , Law Yun Zhi , Valerio Scarani

Self-testing protocols enable certification of quantum devices without demanding full knowledge about their inner workings. A typical approach in designing such protocols is based on observing nonlocal correlations which exhibit maximum…

Quantum Physics · Physics 2022-05-31 Ashutosh Rai , Matej Pivoluska , Souradeep Sasmal , Manik Banik , Sibasish Ghosh , Martin Plesch

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

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

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

A comprehensive treatment of the quantification of randomness certified device-independently by using the Hardy and Cabello-Liang-Li (CLL) nonlocality relations is provided in the two parties - two measurements per party - two outcomes per…

Quantum Physics · Physics 2023-05-19 Souradeep Sasmal , Ashutosh Rai , Sayan Gangopadhyay , Dipankar Home , Urbasi Sinha

We demonstrate that, in the tripartite scenario with all parties' local events being space-like separated, Hardy-type nonlocality constitutes a stronger manifestation of nonlocal correlations than those captured by Mermin-type inequalities,…

Quantum Physics · Physics 2025-04-29 Ranendu Adhikary , Souradeep Sasmal , Arup Roy

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…

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

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

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

In this work, we propose device independent true random numbers generation protocols based on non-inequality paradoxes such as Hardy's and Cabello's non-locality argument. The efficiency of generating randomness in our protocols are far…

Quantum Physics · Physics 2015-08-19 Hong-Wei Li , Marcin Pawlowski , Ramij Rahaman , Guang-Can Guo , Zheng-Fu Han

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

We give a analytic quantitative relation between Hardy's non-locality and Bell operator. We find that Hardy's non-locality is a sufficient condition for violation of Bell inequality, the upper bound of Hardy's non-locality allowed by…

Quantum Physics · Physics 2015-05-19 Yang Xiang

Bound entanglement, being entangled yet not distillable, is essential to our understandings of the relations between nonlocality and entanglement besides its applications in certain quantum information tasks. Recently, bound entangled…

Quantum Physics · Physics 2017-03-22 Sixia Yu , C. H. Oh

We show two experimental realizations of Hardy ladder test of quantum nonlocality using energy-time correlated photons, following the scheme proposed by A. Cabello \emph{et al.} [Phys. Rev. Lett. \textbf{102}, 040401 (2009)]. Unlike,…

Quantum Physics · Physics 2011-04-20 G. Vallone , I. Gianani , E. B. Inostroza , C. Saavedra , G. Lima , A. Cabello , P. Mataloni

We show that all $n$-qubit entangled states, with the exception of tensor products of single-qubit and bipartite maximally-entangled states, admit Hardy-type proofs of non-locality without inequalities or probabilities. More precisely, we…

Quantum Physics · Physics 2017-02-22 Samson Abramsky , Carmen M. Constantin , Shenggang Ying

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…

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

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 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
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