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We show that optically encoded two-qubit Bell states can be unambiguously discriminated with a success probability of more than 50% in both single-rail and dual-rail encodings by using active linear-optical resources that include Gaussian…

量子物理 · 物理学 2015-06-12 Hussain A. Zaidi , Peter van Loock

We derive tight quadratic inequalities for all kinds of hybrid separable-inseparable $n$-particle density operators on an arbitrary dimensional space. This methodology enables us to truly derive a tight quadratic inequality as tests for…

量子物理 · 物理学 2009-11-07 Koji Nagata , Masato Koashi , Nobuyuki Imoto

Bell's theorem shows that no hidden-variable model can explain the measurement statistics of a quantum system shared between two parties, thus ruling out a classical (local) understanding of nature. In this work we demonstrate that by…

量子物理 · 物理学 2022-03-14 Benjamin Morris , Lukas J. Fiderer , Ben Lang , Daniel Goldwater

Finding all Bell inequalities for a given number of parties, measurement settings, and measurement outcomes is in general a computationally hard task. We show that all Bell inequalities which are symmetric under the exchange of parties can…

量子物理 · 物理学 2016-04-04 Jean-Daniel Bancal , Nicolas Gisin , Stefano Pironio

Nonlocality, manifested by the violation of Bell inequalities, indicates entanglement within a joint quantum system. A natural question is how much entanglement is required for a given nonlocal behavior. Here, we explore this question by…

量子物理 · 物理学 2025-06-23 Yuwei Zhu , Xingjian Zhang , Xiongfeng Ma

It is well-known that in a Bell experiment, the observed correlation between measurement outcomes -- as predicted by quantum theory -- can be stronger than that allowed by local causality, yet not fully constrained by the principle of…

量子物理 · 物理学 2022-07-15 Pei-Sheng Lin , Tamás Vértesi , Yeong-Cherng Liang

We provide an explicit example of a Bell inequality with 3 settings and 2 outcomes per site for which the largest violation is not obtained by the maximally entangled state, even if its dimension is allowed to be arbitrarily large. This…

量子物理 · 物理学 2013-05-29 Thomas Vidick , Stephanie Wehner

We introduce a geometric framework for studying Bell nonlocality in Hilbert space, where, for a given quantum state, nonlocality is quantified by the distance between the state and the set of local states. This approach applies to any Bell…

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

In the following paper, we discuss a possible detection of non-locality in two-mode light states in the Bell protocol, where the local observables are constructed using displacement operators, implemented by Mach-Zender Interferometers fed…

量子物理 · 物理学 2023-05-30 Madhura Ghosh Dastidar , Gniewomir Sarbicki , Vidya Praveen Bhallamudi

Bell's test, initially devised to distinguish quantum theory from local hidden variable models through {violations of local bounds}, is also a common tool for detecting entanglement. For this purpose, one can assume the quantum description…

量子物理 · 物理学 2026-04-21 Liang-Liang Sun , Yong-Shun Song , Sixia Yu

Quantum violation of Bell inequalities is now used in many quantum information applications and it is important to analyze it both quantitatively and conceptually. In the present paper, we analyze violation of multipartite Bell inequalities…

量子物理 · 物理学 2018-03-28 Elena R. Loubenets

Bell inequalities characterize the boundary of the local-realist correlation polytope -- the set of joint probability distributions achievable by classical hidden-variable models. Quantum mechanics exceeds this boundary through…

量子物理 · 物理学 2026-04-01 Nick Polson , Vadim Sokolov , Daniel Zantedeschi

We show that for two-qubit chained Bell inequalities with an arbitrary number of measurement settings, nonlocality and entanglement are not only different properties but are inversely related. Specifically, we analytically prove that in…

量子物理 · 物理学 2014-01-08 G. Vallone , G. Lima , E. S. Gómez , G. Cañas , J. -A. Larsson , P. Mataloni , A. Cabello

Bell correlations are usually formulated for an ideal spin singlet, for which the Bell--CHSH combination reaches the maximal quantum value \(B=-2\sqrt{2}\), independent of detector separation. Here we derive Bell correlations from a more…

量子物理 · 物理学 2026-05-26 Ju Gao , Fang Shen

I discuss an experiment demonstrating nonlocality and conservation of energy under the assumption that the decision of the outcome happens at detection. The experiment does not require Bell's inequalities and is loophole-free. I further…

量子物理 · 物理学 2012-04-10 Antoine Suarez

Bell tests have become a powerful tool for quantifying security, randomness, entanglement, and many other properties, as well as for investigating fundamental physical limits. In all these cases, the specific experimental value of the Bell…

量子物理 · 物理学 2025-06-06 Massimiliano Smania , Matthias Kleinmann , Adán Cabello , Mohamed Bourennane

Bell's theorem applies to the normalizable approximations of the original Einstein-Podolsky-Rosen (EPR) state. The constructions of the proof require measurements difficult to perform, and dichotomic observables. By noticing the fact that…

量子物理 · 物理学 2015-03-12 Krzysztof Rosołek , Magdalena Stobińska , Marcin Wieśniak , Marek Żukowski

We report a nonlocal interferometer capable of detecting entanglement and identifying Bell states statistically. This is possible due to the interferometer's unique correlation dependence on the anti-diagonal elements of the density matrix,…

量子物理 · 物理学 2016-06-09 Brian P. Williams , Travis S. Humble , Warren P. Grice

Violation of Bell inequality (or, Bell-type inequalities) by nonlocal correlations is justified by relaxation of at least one of the plausible physical constraints used to model such inequality. Based on this fact, in this letter we present…

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