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Quantum nonlocality is typically assigned to systems of two or more well separated particles, but nonlocality can also exist in systems consisting of just a single particle, when one considers the subsystems to be distant spatial field…

Quantum Physics · Physics 2015-03-13 Libby Heaney , Adan Cabello , Marcelo F. Santos , Vlatko Vedral

We demonstrate genuine three-mode nonlocality based on phase space formalism. A Svetlichny-type Bell inequality is formulated in terms of the $s$-parameterized quasiprobability function. We test such tool using exemplary forms of three-mode…

Quantum Physics · Physics 2015-06-12 Seung-Woo Lee , Mauro Paternostro , Jinhyoung Lee , Hyunseok Jeong

Formulas for calculating the joint probability of outcomes of measurements performed on mutually non-interacting component systems of a combined system prepared in an entangled state are presented. The formulas are based on non-relativistic…

General Physics · Physics 2021-12-09 Zbigniew Zimpel

Quantum nonlocality has recently been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. Experimentally Bell's nonlocality is usually tested by quantum violation of…

Quantum Physics · Physics 2015-10-23 Jing-Ling Chen , Xiang-Jun Ye

In this paper we characterize the set of bipartite non-signalling probability distributions in terms of tensor norms. Using this characterization we give optimal upper and lower bounds on Bell inequality violations when non-signalling…

Mathematical Physics · Physics 2019-04-04 Abderraman Amr , Carlos Palazuelos , Ignacio Villanueva

We report on the first experimental reconstruction of an entanglement quasiprobability. In contrast to related techniques, the negativities in our distributions are a necessary and sufficient identifier of separability and entanglement and…

Quantum Physics · Physics 2019-02-08 J. Sperling , E. Meyer-Scott , S. Barkhofen , B. Brecht , C. Silberhorn

In [\href{http://www.sciencedirect.com/science/article/pii/037596019290711T}{Phys. Lett. A {\bf 166}, 293 (1992)}] Popescu characterized nonlocality of pure $n$-partite entangled systems by studying bipartite violation of local realism when…

We report on an optical setup generating more than one bit of randomness from one entangled bit (i.e. a maximally entangled state of two-qubits). The amount of randomness is certified through the observation of Bell non-local correlations.…

Quantum Physics · Physics 2018-04-18 S. Gómez , A. Mattar , E. S. Gómez , D. Cavalcanti , O. Jiménez Farías , A. Acín , G. Lima

Fundamental investigations in non-locality have shown that while the no-signaling principle alone is not sufficient to single out the set of quantum non-local correlations, local quantum mechanics and no-signaling together exactly reproduce…

Quantum Physics · Physics 2022-12-22 Michał Banacki , Piotr Mironowicz , Ravishankar Ramanathan , Paweł Horodecki

We present an exhaustive numerical analysis of violations of local realism by families of multipartite quantum states. As an indicator of nonclassicality we employ the probability of violation for randomly sampled observables. Surprisingly,…

Quantum Physics · Physics 2017-07-07 Anna de Rosier , Jacek Gruca , Fernando Parisio , Tamas Vertesi , Wieslaw Laskowski

We propose a method to characterize and quantify multipartite entanglement for pure states. The method hinges upon the study of the probability density function of bipartite entanglement and is tested on an ensemble of qubits in a variety…

Quantum Physics · Physics 2009-11-13 P. Facchi , G. Florio , S. Pascazio

There is a commonly recognized paradigm in which a multipartite quantum system described by a density matrix having no product eigenbasis is considered to possess nonclassical correlation. Supporting this paradigm, we define two entropic…

Quantum Physics · Physics 2008-05-02 Akira SaiToh , Robabeh Rahimi , Mikio Nakahara

Polarization quasi-probability distribution (PQPD) is defined in the Stokes space, and it enables the calculation of mean values and higher-order moments for polarization observables using simple algebraic averaging. It can be reconstructed…

Quantum Physics · Physics 2013-08-21 M. V. Chekhova , F. Ya. Khalili

It has been recently shown, that some of the tripartite boxes admitting bilocal decomposition, lead to non-locality under wiring operation applied to two of the subsystems [R. Gallego et al. Physical Review Letters 109, 070401 (2012)]. In…

Quantum Physics · Physics 2015-05-06 Jan Tuziemski , Karol Horodecki

Imagine three parties, Alice, Bob, and Charlie, who share a state of three qubits such that all two-party reduced states A-B,A-C, and B-C are separable. Suppose that they have information only about these marginals but not about the global…

Quantum Physics · Physics 2014-02-18 Tamas Vertesi , Wieslaw Laskowski , Karoly F. Pal

We present bipartite Bell-type inequalities which allow the two partners to use some non-local resource. Such inequality can only be violated if the parties use a resource which is more non-local than the one permitted by the inequality. We…

Quantum Physics · Physics 2015-06-26 Nicolas Brunner , Valerio Scarani , Nicolas Gisin

A model for two entangled systems in an EPR setting is shown to reproduce the quantum-mechanical outcomes and expectation values. Each system is represented by a small sphere containing a point-like particle embedded in a field. A quantum…

Quantum Physics · Physics 2009-09-29 A. Matzkin

In this work we investigate the probability of violation of local realism under random measurements in parallel with the strength of these violations as described by resistance to white noise admixture. We address multisetting Bell…

Quantum Physics · Physics 2020-01-22 Anna de Rosier , Jacek Gruca , Fernando Parisio , Tamas Vertesi , Wieslaw Laskowski

We consider the problem of estimating the missing mass, partition function or evidence and its probability distribution in the case that for each sample point in the discrete sample space its (unnormalized) probability mass is revealed.…

Statistics Theory · Mathematics 2026-03-16 Bastiaan J. Braams

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

Methodology · Statistics 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen