Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1507.07327

Witnessing Genuine Mutipartite Non-locality

Some Sankar Bhattacharya, Arup Roy, Amit Mukherjee, Ramij Rahaman

Published Jul 27, 2015• 0 citations
arXivHTMLPDF

Abstract

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 to recent studies. In this regard, we propose a Hardy-type argument which is able to detect genuine $n$-way nonlocality of arbitrary quantum systems. To understand the strength of this argument we also study the optimal success probability of the argument in a minimally constrained theory, namely the generalized no-signaling theory.

DOI
10.48550/arxiv.1507.07327

Related papers

Self-testing of genuine multipartite entangled states without network assistance

Ranendu Adhikary, Abhishek Mishra, Ramij Rahaman

Self-testing of quantum correlations is an important problem in quantum information theory, and the task becomes more challenging in multipartite scenarios. In this context, the authors provide a network-assistance-free self-testing scheme for genuine multipartite entangled states by employing a generalized Hardy-type nonlocality argument and exploring its device-independent bound of the maximum probability of success.

Physical Review A•Jul 3, 2024•6 citations

Optimal tests of genuine multipartite nonlocality

Mahasweta Pandit, Artur Barasiński, István Márton +2 more

Abstract We propose an optimal and efficient numerical test for witnessing genuine multipartite nonlocality based on a geometric approach. In particular, we consider two non-equivalent models of local hidden variables, namely the Svetlichny and the no-signaling bilocal models. While our knowledge concerning these models is well established for Bell-type scenarios involving two measurement settings per party, the general case based on an arbitrary number of settings is a considerably more challenging task and very little work has been done in this field. In this paper, we applied such general tests to detect and characterize genuine n-way nonlocal correlations for various states of three qubits and qutrits. Apart from the fundamental problem of characterizing genuine multipartite nonlocal correlations, the extension of the number of measurements beyond two is also of practical importance. As a measure of nonlocality, we use the probability of violation of local realism under randomly sampled observables, and the strength of nonlocality, described by the resistance to white noise admixture. In particular, we analyze to what extent the Bell-type scenario involving two measurement settings can be used to certify genuine n-way nonlocal correlations generated for more general models. In addition, we propose a simple procedure to detect such nonlocal correlations for randomly chosen settings with an efficiency of up to 100%. Due to its near-perfect efficiency, our method may open new possibilities in device-independent quantum cryptography applications where strong nonlocality between all partners is required.

arXiv:2206.08848•New Journal of Physics•Dec 1, 2022•12 citations

Complementarity of genuine multipartite Bell nonlocality

Sasha Sami, Indranil Chakrabarty, Anubhav Chaturvedi

We introduce a feature of no-signaling (Bell) nonlocal theories: namely, when a system of multiple parties manifests genuine nonlocal correlation, then there cannot be arbitrarily high nonlocal correlation among any subset of the parties. We call this feature complementarity of genuine multipartite nonlocality. We use Svetlichny's criterion for genuine multipartite nonlocality and nonlocal games to derive the complementarity relations under no-signaling constraints. We find that the complementarity relations are tightened for the much stricter quantum constraints. We compare this notion with the well-known notion of monogamy of nonlocality. As a consequence, we obtain tighter nontrivial monogamy relations that take into account genuine multipartite nonlocality. Furthermore, we provide numerical evidence showcasing this feature using a bipartite measure and several other well-known tripartite measures of nonlocality.

arXiv:1603.09120•Physical Review A•Aug 15, 2017•11 citations

Detecting Genuine Multipartite Quantum Nonlocality: A Simple Approach and Generalization to Arbitrary Dimensions

Jean-Daniel Bancal, Nicolas Brunner, Nicolas Gisin +1 more

The structure of Bell-type inequalities detecting genuine multipartite nonlocality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive approach to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics. Based on this approach, we then derive a family of Bell-type inequalities for detecting genuine multipartite nonlocality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally, we discuss the tightness and quantum mechanical violations of these inequalities.

arXiv:1011.0089•Physical Review Letters•Jan 11, 2011•169 citations

Generalized Hardy-type tests for hierarchy of multipartite non-locality*

Fei Yang, Yuan Yu, Wen-Lu Lin +3 more

We propose a family of Hardy-type tests for an arbitrary n-partite system, which can detect different degrees of non-locality ranging from standard to genuine multipartite non-locality. For any non-signaling m-local hidden variable model, the corresponding tests fail, whereas a pass of this type of test indicates that this state is m non-local. We show that any entangled generalized GHZ state exhibits Hardy’s non-locality for each rank of multipartite non-locality. Furthermore, for the detection of m non-localities, a family of Bell-type inequalities based on our test is constructed. Numerical results show that it is more efficient than the inequalities proposed in [Phys. Rev. A 94 022110 (2016)].

Chinese Physics B•Nov 6, 2019•0 citations

Complementarity in Genuine Nonlocality: A device independent outlook

Sasha Sami, Anubhav Chaturvedi, Indranil Chakrabarty

The notion of complementarity or mutually exclusiveness of physical phenomenon has always been of keen interest to the physicists. In this work we show that there exists a complementary relationship in terms of the genuine non-locality of a multipartite system vs. that of reduced subsystems. We further assert that the same is enforced due to no-signaling condition. To this end we consider Svetlichny games in a multiparty binary input and output scenario with a threshold value of the winning probability as a signature of genuine multiparty non locality. We analytically show that, in the Svetlichny games setup, there exists complementary relations between Svetlichny correlations of $n$ party and Svetlichny correlations of any subset of $k \leq n$ parties within the no-signaling framework. In other words, in general non local theories, the genuine multiparty non locality for multiparty systems comes at the cost of upper bounding the genuine multiparty non locality of the reduced subsystem. In addition to Svetlichny games we consider many other non local games like Mermin games, Bancal \emph{et al's} IP, Guess Your Neighbors Input game and provide numerical findings ( in case of no-signaling and quantum correlations ) in support of our main result.

•Mar 30, 2016•0 citations
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 to recent studies. In this regard, we propose a Hardy-type argument which is able to detect genuine nnn-way nonlocality of arbitrary quantum systems. To understand the strength of this argument we also study the optimal success probability of the argument in a minimally constrained theory, namely the generalized no-signaling theory.
Abstract We propose an optimal and efficient numerical test for witnessing genuine multipartite nonlocality based on a geometric approach. In particular, we consider two non-equivalent models of local hidden variables, namely the Svetlichny and the no-signaling bilocal models. While our knowledge concerning these models is well established for Bell-type scenarios involving two measurement settings per party, the general case based on an arbitrary number of settings is a considerably more challenging task and very little work has been done in this field. In this paper, we applied such general tests to detect and characterize genuine n-way nonlocal correlations for various states of three qubits and qutrits. Apart from the fundamental problem of characterizing genuine multipartite nonlocal correlations, the extension of the number of measurements beyond two is also of practical importance. As a measure of nonlocality, we use the probability of violation of local realism under randomly sampled observables, and the strength of nonlocality, described by the resistance to white noise admixture. In particular, we analyze to what extent the Bell-type scenario involving two measurement settings can be used to certify genuine n-way nonlocal correlations generated for more general models. In addition, we propose a simple procedure to detect such nonlocal correlations for randomly chosen settings with an efficiency of up to 100%. Due to its near-perfect efficiency, our method may open new possibilities in device-independent quantum cryptography applications where strong nonlocality between all partners is required.
We introduce a feature of no-signaling (Bell) nonlocal theories: namely, when a system of multiple parties manifests genuine nonlocal correlation, then there cannot be arbitrarily high nonlocal correlation among any subset of the parties. We call this feature complementarity of genuine multipartite nonlocality. We use Svetlichny's criterion for genuine multipartite nonlocality and nonlocal games to derive the complementarity relations under no-signaling constraints. We find that the complementarity relations are tightened for the much stricter quantum constraints. We compare this notion with the well-known notion of monogamy of nonlocality. As a consequence, we obtain tighter nontrivial monogamy relations that take into account genuine multipartite nonlocality. Furthermore, we provide numerical evidence showcasing this feature using a bipartite measure and several other well-known tripartite measures of nonlocality.
The structure of Bell-type inequalities detecting genuine multipartite nonlocality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive approach to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics. Based on this approach, we then derive a family of Bell-type inequalities for detecting genuine multipartite nonlocality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension. Finally, we discuss the tightness and quantum mechanical violations of these inequalities.
We propose a family of Hardy-type tests for an arbitrary n-partite system, which can detect different degrees of non-locality ranging from standard to genuine multipartite non-locality. For any non-signaling m-local hidden variable model, the corresponding tests fail, whereas a pass of this type of test indicates that this state is m non-local. We show that any entangled generalized GHZ state exhibits Hardy’s non-locality for each rank of multipartite non-locality. Furthermore, for the detection of m non-localities, a family of Bell-type inequalities based on our test is constructed. Numerical results show that it is more efficient than the inequalities proposed in [Phys. Rev. A 94 022110 (2016)].
The notion of complementarity or mutually exclusiveness of physical phenomenon has always been of keen interest to the physicists. In this work we show that there exists a complementary relationship in terms of the genuine non-locality of a multipartite system vs. that of reduced subsystems. We further assert that the same is enforced due to no-signaling condition. To this end we consider Svetlichny games in a multiparty binary input and output scenario with a threshold value of the winning probability as a signature of genuine multiparty non locality. We analytically show that, in the Svetlichny games setup, there exists complementary relations between Svetlichny correlations of nnn party and Svetlichny correlations of any subset of k≤nk \leq nk≤n parties within the no-signaling framework. In other words, in general non local theories, the genuine multiparty non locality for multiparty systems comes at the cost of upper bounding the genuine multiparty non locality of the reduced subsystem. In addition to Svetlichny games we consider many other non local games like Mermin games, Bancal \emph{et al's} IP, Guess Your Neighbors Input game and provide numerical findings ( in case of no-signaling and quantum correlations ) in support of our main result.