Hardy's nonlocality argument as a witness for postquantum correlations

Das, Santabrata; Banik, Manik; Rai, Ashutosh; Gazi, Rajjak; Kunkri, Samir

doi:10.1103/physreva.87.012112

Cited by 29 publications

(16 citation statements)

References 20 publications

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“…Actually, as shown in [9], this maximum turns out to be optimal over all pure entangled states of three qubits subjected to local projective measurements. This result also holds for general (dichotomic) measurements on tripartite quantum systems of arbitrary dimension [10].…”

Section: Introductionsupporting

confidence: 57%

Cabello’s nonlocality for generalized three-qubit GHZ states

Cereceda

2016

Quantum Stud.: Math. Found.

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In this paper, we study Cabello's nonlocality argument (CNA) for three-qubit systems configured in the generalized GHZ state. For this class of states, we show that CNA runs for almost all entangled ones, and that the maximum probability of success of CNA is 14% (approx.), which is attained for the maximally entangled GHZ state. This maximum probability is slightly higher than that achieved for the standard Hardy's nonlocality argument (HNA) for three qubits, namely 12.5%. Also, we show that the success probability of both HNA and CNA for three-qubit systems can reach a maximum of 50% in the framework of generalized no-signaling theory.

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Section: Introductionsupporting

confidence: 57%

Cabello’s nonlocality for generalized three-qubit GHZ states

Cereceda

2016

Quantum Stud.: Math. Found.

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“…Depending on different situations correlations can be characterized in different ways, eg. nonlocal [30], steerable [31], entanglement [13], quantum correlation (discord) [17] etc that find number of practical applications [14][15][16][32][33][34][35][36][37][38][39][40][41][42][43]. It also plays important role in quantum thermodynamics [28].…”

Section: Correlation and Ergotropic Gapmentioning

confidence: 99%

Presence of quantum correlations results in a nonvanishing ergotropic gap

et al. 2016

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The paradigm of extracting work from isolated quantum system through a cyclic Hamiltonian process is a topic of immense research interest. The optimal work extracted under such process is termed as ergotropy [Europhys. Lett., 67 (4), 565(2004)]. Here, in a multi-party scenario we consider only a class of such cyclic processes that can be implemented locally, giving rise to the concept of local ergotropy. Eventually, presence of quantum correlations result in a non-vanishing thermodynamic quantity called ergotropic gap, measured by the difference between the global and local ergotropy. However the converse does not hold in general, i.e. its nonzero value does not necessarily imply presence of quantum correlations. For arbitrary multi-party states we quantify this gap. We also evaluate the difference between maximum global and local extractable work for arbitrary states when the system is no longer isolated but put in contact with a baths of same local temperature.

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“…Advent of quantum information theory identifies Bell nonlocality as a useful resource for device independent quantum information processing where an information task can be achieved without making any assumptions about the internal working of the devices used in the protocol. Several such protocols have been proposed with many of them already achieving practical implementation [25][26][27][28][29][30][31][32]. It has also been established as useful resource in Bayesian game theory to [33][34][35].…”

Section: Discussionmentioning

confidence: 99%

Operational Characterization of Multipartite Nonlocal Correlations

Dutta,

Mukherjee,

Banik

2020

Preprint

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Nonlocality, one of the most puzzling features of multipartite quantum correlation, has been identified as a useful resource for device-independent quantum information processing. Motivated from the resource theory of quantum entanglement, Gallego et al. in [Phys. Rev. Lett. 109, 070401 (2012)] proposed an operational framework to characterize the nonlocal resource present in multipartite quantum correlations. While the bipartite no-signaling correlations allows a dichotomous classification -local vs. nonlocal, in multipartite scenario the authors have shown that there exist several types of nonlocality that are inequivalent under the proposed operational framework. In this work we present a finer characterization of multipartite no-signaling correlations based on the same operational framework. We also point out some erroneous conclusions in Gallego et al.'s work and make them precise here.

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Hardy's nonlocality argument as a witness for postquantum correlations

Cited by 29 publications

References 20 publications

Cabello’s nonlocality for generalized three-qubit GHZ states

Cabello’s nonlocality for generalized three-qubit GHZ states

Presence of quantum correlations results in a nonvanishing ergotropic gap

Operational Characterization of Multipartite Nonlocal Correlations

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