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The relationship between the noncommutativity of operators and the violation of the Bell inequality is exhibited in the light of the n-particle Bell-type inequality discovered by Mermin [PRL 65, 1838 (1990)]. It is shown, in particular,…

量子物理 · 物理学 2009-11-06 Jose L. Cereceda

Quantum entanglement plays a vital role in many quantum information and communication tasks. Entangled states of higher dimensional systems are of great interest due to the extended possibilities they provide. For example, they allow the…

Recently an alternative way to quantify Bell nonlocality has been proposed [Phys. Rev. A {\bf 92}, 030101(R) (2015)]. In this work we further develop this concept, the volume of violation, and analytically calculate its value for the…

量子物理 · 物理学 2016-03-09 Fernando Parisio

The study of entanglement in particle physics has been gathering pace in the past few years. It is a new field that is providing important results about the possibility of detecting entanglement and testing Bell inequality at colliders for…

高能物理 - 唯象学 · 物理学 2024-12-20 Alan J. Barr , Marco Fabbrichesi , Roberto Floreanini , Emidio Gabrielli , Luca Marzola

Quantum information theory explores numerous properties that surpass classical paradigms, offering novel applications and benefits. Among these properties, negative conditional von Neumann entropy (CVNE) is particularly significant in…

量子物理 · 物理学 2024-11-22 Jan Horodecki , Piotr Mironowicz

Maximally entangled mixed states are those states that, for a given mixedness, achieve the greatest possible entanglement. For two-qubit systems and for various combinations of entanglement and mixedness measures, the form of the…

Quantum Correlations are studied extensively in quantum information domain. Entanglement Measures and Quantum Discord are good examples of these actively studied correlations. Detection of violation in Bell inequalities is also a widely…

量子物理 · 物理学 2017-05-15 Volkan Erol

We introduce inequalities for multi-partite entanglement, derived from the geometry of spin vectors. The criteria are constructed iteratively from cross and dot products between the spins of individual subsystems, each of which may have…

量子物理 · 物理学 2007-05-23 Gabriel A. Durkin , Christoph Simon

We construct steering inequalities which exhibit unbounded violation. The concept was to exploit the relationship between steering violation and uncertainty relation. To this end we apply mutually unbiased bases and anti-commuting…

量子物理 · 物理学 2015-10-28 M. Marciniak , A. Rutkowski , Z. Yin , M. Horodecki , R. Horodecki

We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave…

量子物理 · 物理学 2015-05-20 R. Rossignoli , N. Canosa

The inference of entangled quantum states by recourse to the maximum entropy principle is considered in connection with the recently pointed out problem of fake inferred entanglement [R. Horodecki, {\it et al.}, Phys. Rev. A {\it 59} (1999)…

量子物理 · 物理学 2009-11-07 J. Batle , M. Casas , A. R. Plastino , A. Plastino

In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order $\sqrt{n}$ (up to a logarithmic factor) when observables with n possible outcomes are used. A central…

量子物理 · 物理学 2015-05-14 M. Junge , C. Palazuelos , D. Perez-Garcia , I. Villanueva , M. M. Wolf

The usual derivation of the violation of Bell-type inequalities can be applied actually only for small distances between detectors. It does not take into account the dependence of the quantum mechanical wave function on space-time…

量子物理 · 物理学 2023-12-13 Timofei Rusalev , Daniil Stepanenko , Igor Volovich

A problem in quantum information theory is to find the experimental setup that maximizes the nonlocality of correlations with respect to some suitable measure such as the violation of Bell inequalities. The latter has however some…

量子物理 · 物理学 2016-08-30 Sacha Schwarz , Andre Stefanov , Stefan Wolf , Alberto Montina

Bounds on the norm of quantum operators associated with classical Bell-type inequalities can be derived from their maximal eigenvalues. This quantitative method enables detailed predictions of the maximal violations of Bell-type…

量子物理 · 物理学 2007-05-23 Stefan Filipp , Karl Svozil

We consider a system of two particles, each with large angular momentum $j$, in the singlet state. The probabilities of finding projections of the angular momenta on selected axes are determined. The generalized Bell inequalities involve…

量子物理 · 物理学 2019-05-22 M. Kuś , J. Mostowski , J. Pietraszewicz

This paper proposes a generalized Bell-like inequality (GBI) for multiparticle entangled Schr\"{o}dinger-cat--states of arbitrary spin-$s$. Based on quantum probability statistics the GBI and violation are formulated in an unified manner…

量子物理 · 物理学 2022-01-03 Yan Gu , Wei-Dong Li , Xiao-Lei Hao , Jiu-Qing Liang , Lian-Fu Wei

We investigate the quantum nature of primordial perturbations by studying the violation of Bell inequality when the initial state is taken to be a coherent state rather than the usual Bunch-Davies vacuum. As inflation progresses, the…

广义相对论与量子宇宙学 · 物理学 2026-01-21 Aurindam Mondal , Rathul Nath Raveendran

Entangled pure-states, Werner-states and generalized mixed-states of any structure, spanning a 2x2 Hilbert space are created by a novel high-brilliance universal source of polarization-entangled photon pairs. The violation of a Bell…

量子物理 · 物理学 2007-05-23 M. Barbieri , F. De Martini , G. Di Nepi , P. Mataloni

We estimate the probability of random $N$-qudit pure states violating full-correlation Bell inequalities with two dichotomic observables per site. These inequalities can show violations that grow exponentially with $N$, but we prove this is…

量子物理 · 物理学 2012-09-11 R. C. Drumond , R. I. Oliveira