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Motivated by Popescu's example of hidden nonlocality, we elaborate on the conjecture that quantum states that are intuitively nonlocal, i.e., entangled, do not admit a local causal hidden variables model. We exhibit quantum states which…

量子物理 · 物理学 2009-10-30 Stefan Teufel , Karin Berndl , Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

Hess and Philipp have constructed what, they claim, is a local hidden variables model reproducing the empirical predictions of quantum mechanics. In this paper explicit expressions for the conditional probabilities for the outcomes of the…

量子物理 · 物理学 2007-05-23 D. M. Appleby

A class of signed joint probability measures for n arbitrary quantum observables is derived and studied based on quasi-characteristic functions with symmetrized operator orderings of Margenau-Hill type. It is shown that the Wigner…

量子物理 · 物理学 2024-10-01 Ralph Sabbagh , Olga Movilla Miangolarra , Hamid Hezari , Tryphon T. Georgiou

We study numerically the effects of measurements on dynamical localization in the kicked rotator model simulated on a quantum computer. Contrary to the previous studies, which showed that measurements induce a diffusive probability…

量子物理 · 物理学 2009-11-10 M. Terraneo , D. L. Shepelyansky

The Wigner functions on the one dimensional lattice are studied. Contrary to the previous claim in literature, Wigner functions exist on the lattice with any number of sites, whether it is even or odd. There are infinitely many solutions…

高能物理 - 格点 · 物理学 2009-10-31 A. Takami , T. Hashimoto , M. Horibe , A. Hayashi

Some years ago Szab\'o and Fine proposed a {\it local} hidden variable theory for the GHZ experiment based on the assumption that "the detection efficiency is not (only) the effect of random errors in the detector equipment, but it is a…

量子物理 · 物理学 2014-11-13 C. Garola , M. Persano , J. Pykacz , S. Sozzo

In the derivation of Bell's inequalities, probability distribution is supposed to be a function of only hidden variable. We point out that the true implication of the probability distribution of Bell's correlation function is the…

综合物理 · 物理学 2020-07-21 Hai-Long Zhao

The Wigner function was introduced as an attempt to describe quantum-mechanical fields with the tools inherited from classical statistical mechanics. In particular, it is widely used to describe the properties of radiation fields. In fact,…

量子物理 · 物理学 2025-04-10 Juan Camilo López Carreño

We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The distribution function is thus defined on discrete…

量子物理 · 物理学 2013-11-13 Joris Van der Jeugt

We study in this short comment the analogies and the differences that exist between several local hidden variable models.

量子物理 · 物理学 2007-05-23 Thomas Durt

We investigate the tomography of unknown unitary quantum processes within the framework of a finite-dimensional Wigner-type representation. This representation provides a rich visualization of quantum operators by depicting them as shapes…

量子物理 · 物理学 2024-12-19 Amit Devra , Léo Van Damme , Frederik vom Ende , Emanuel Malvetti , Steffen J. Glaser

Measurement correlations in quantum systems can exhibit non-local behavior, a fundamental aspect of quantum mechanics with applications such as device-independent quantum information processing. However, the explicit construction of local…

量子物理 · 物理学 2025-04-30 Nick von Selzam , Florian Marquardt

The Wigner function formalism has played a pivotal role in examining the non-classical aspects of quantum states and their classical simulatability. Nevertheless, its application in qubit systems faces limitations due to negativity induced…

量子物理 · 物理学 2024-12-02 Guedong Park , Hyukjoon Kwon , Hyunseok Jeong

We propose Bell inequalities for discrete or continuous quantum systems which test the compatibility of quantum physics with an interpretation in terms of deterministic hidden-variable theories. The wave function collapse that occurs in a…

量子物理 · 物理学 2014-03-24 Karl-Peter Marzlin , T. A. Osborn

We introduce a quasi-probability phase space distribution with two pairs of azimuthal-angular coordinates. This representation is well adapted to describe quantum systems with discrete symmetry. Quantum error correction of states encoded in…

量子物理 · 物理学 2020-08-26 N. Fabre , A. Keller , P. Milman

The interconnection between quantum mechanics and probabilistic classical mechanics for a free relativistic particle is derived in terms of Wigner functions (WF) for both Dirac and Klein-Gordon (K-G) equations. Construction of WF is…

高能物理 - 理论 · 物理学 2009-10-31 A. N. Mitra , R. Ramanathan

For an ergodic system, the time average of a classical observable coincides with that obtained via the Liouville probability density, a delta-function on the energy shell. Reinterpreting this distribution as a Wigner function, that is, the…

量子物理 · 物理学 2015-06-19 Alfredo M. Ozorio de Almeida

In an entanglement swapping process two initially uncorrelated qubits become entangled, without any direct interaction. We present a model using local variables aiming at reproducing this remarkable process, under the realistic assumption…

量子物理 · 物理学 2013-01-22 N. Gisin , B. Gisin

With the goal in mind of deriving a method to compute quantum corrections for the real-time evolution in quantum field theory, we analyze the problem from the perspective of the Wigner function. We argue that this provides the most natural…

数学物理 · 物理学 2013-05-30 Antonio González-Arroyo , Fermín Nuevo

A model of spontaneous wavefunction collapse, which is explicitly local and Lorentz-invariant, is defined. Some of the predictions of the model for specific experimental situations are derived. It is shown that, although incompatible…

量子物理 · 物理学 2007-05-23 Chris Dove , Euan J. Squires