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For a multipartite quantum state, the maximal violation of all Bell inequalities constitutes a measure of its nonlocality [Loubenets, J. Math. Phys. 53, 022201 (2012)]. In the present article, for the maximal violation of Bell inequalities…

量子物理 · 物理学 2022-07-06 Elena R. Loubenets , Min Namkung

We use quantum entanglement witnesses derived from Gaussian operators to study the separable criteria of continuous variable states. We transform the validity of a Gaussian witness to a Bosonic Gaussian channel problem. It follows that the…

量子物理 · 物理学 2022-08-29 Xiao-yu Chen , Maoke Miao , Rui Yin , Jiantao Yuan

We introduce a family of entanglement witnesses for continuous variable systems, which rely on the sole assumption that their dynamics is that of coupled harmonic oscillators at the time of the test. Entanglement is inferred from the…

量子物理 · 物理学 2024-07-31 Pooja Jayachandran , Lin Htoo Zaw , Valerio Scarani

Contemporary understanding of correlations in quantum many-body systems and in quantum phase transitions is based to a large extent on the recent intensive studies of entanglement in many-body systems. In contrast, much less is known about…

量子物理 · 物理学 2015-09-30 J. Tura , R. Augusiak , A. B. Sainz , B. Lücke , C. Klempt , M. Lewenstein , A. Acín

The observation of the non-local properties of multipartite entangled states is of great importance for quantum information protocols. Such properties, however, are fragile and may not be observed in the presence of decoherence exhibited by…

量子物理 · 物理学 2015-02-27 A. Sohbi , I. Zaquine , E. Diamanti , D. Markham

We consider bipartite quantum systems characterized by a continuous angular variable \theta \in [-\pi, \pi[, representing, for instance, the position of a particle on a circle. We show how to reveal non-locality on this type of system using…

量子物理 · 物理学 2012-11-26 Carolina V. S. Borges , Perola Milman , Arne Keller

In quantum mechanical bipartite systems, naive extensions of von Neumann's projective measurement to nonlocal variables can produce superluminal signals and thus violate causality. We analyze the projective quantum nondemolition…

量子物理 · 物理学 2015-02-13 Shih-Yuin Lin

Quantum networks are the center of many of the recent advances in quantum science, not only leading to the discovery of new properties in the foundations of quantum theory but also allowing for novel communication and cryptography…

We review the theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures, and mathematical methods. Much attention is devoted to the discussion of separability criteria and entanglement…

量子物理 · 物理学 2009-07-02 Gerardo Adesso , Fabrizio Illuminati

As a development of our previous work, this paper is concerned with the Greenberger-Horne-Zeilinger (GHZ) nonlocality for continuous variable cases. The discussion is based on the introduction of a pseudospin operator, which has the same…

量子物理 · 物理学 2009-11-07 Zeng-Bing Chen , Yong-De Zhang

According to the studies of genuine tripartite nonlocality in discrete variable quantum systems conducted so far, Svetlichny inequality is considered as the best Bell-type inequality to detect genuine (three way) nonlocality of pure…

量子物理 · 物理学 2015-12-31 Kaushiki Mukherjee , Biswajit Paul , Debasis Sarkar

Bell nonlocality is the resource that enables device-independent quantum information processing tasks. It is revealed through the violation of so-called Bell inequalities, indicating that the observed correlations cannot be reproduced by…

量子物理 · 物理学 2024-09-25 Patrick Emonts , Mengyao Hu , Albert Aloy , Jordi Tura

Quantification of nonclassicality and entanglement in a quantum state is crucial for quantum advantage in information processing and computation. Robustness is one of the tractable measures for quantifying quantum resources. Gaussian states…

量子物理 · 物理学 2023-09-22 Xiao-yu Chen

Hardy's argument constitutes an elegantly logical test for identifying nonlocal features of multipartite correlations. In this paper, we investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit…

A set of orthogonal product states of a composite Hilbert space is genuinely nonlocal if the states are locally indistinguishable across any bipartition. In this work, we construct a minimal set of party asymmetry genuine nonlocal set in…

量子物理 · 物理学 2025-08-21 Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

We report the discovery of two new invariants for three-qubit states which, similarly to the 3-tangle, are invariant under local unitary transformations and permutations of the parties. These quantities have a direct interpretation in terms…

量子物理 · 物理学 2017-01-26 Shuming Cheng , Michael J. W. Hall

Nonlocal nature apparently shown in entanglement is one of the most striking features of quantum theory. We examine the locality assumption in Bell-type proofs for entangled qubits, i.e. the outcome of a qubit at one end is independent of…

量子物理 · 物理学 2009-03-23 Daegene Song

Hidden nonlocality is the phenomenon that entangled states can be local in the standard Bell scenario but display nonlocality after local filtering. However, there exist entangled states for which all measurement statistics can be described…

量子物理 · 物理学 2021-10-26 Cornelia Spee

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…

量子物理 · 物理学 2017-03-22 Sixia Yu , C. H. Oh

Mixed states appear naturally in experiment over pure states. So for studying different notions of nonlocality and their relation with entanglement in realistic scenarios, one needs to consider mixed states. In a recent article [Phys. Rev.…

量子物理 · 物理学 2016-09-14 Biswajit Paul , Kaushiki Mukherjee , Debasis Sarkar