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We discuss violation of Bell inequalities by the regularized Einstein-Podolsky-Rosen (EPR) state, which can be produced in a quantum optical parametric down-conversion process. We propose an experimental photodetection scheme to probe…

Quantum Physics · Physics 2007-05-23 Konrad Banaszek , Krzysztof Wodkiewicz

We study the behavior of monogamy deficit and monogamy asymmetry for Einstein-Podolsky-Rosen steering of Gaussian states under the influence of the Hawking effect. We demonstrate that the monogamy of quantum steering shows an extreme…

Quantum Physics · Physics 2018-08-29 Jieci Wang , Jiliang Jing , Heng Fan

In this work, we consider the phase-space picture of quantum mechanics. We then introduce non-negative Wigner-like (operational) distributions \widetilde{\mathcal W}_{rho;alpha}(x,p) corresponding to the density operator \hat{rho} and being…

Statistical Mechanics · Physics 2019-06-21 Ilki Kim

We consider the uncertainty bound on the sum of variances of two incompatible observables in order to derive a corresponding steering inequality. Our steering criterion when applied to discrete variables yields the optimum steering range…

Quantum Physics · Physics 2017-11-21 Ananda G. Maity , Shounak Datta , A. S. Majumdar

A web of cohomological facts relates quantum error correction, measurement-based quantum computation, symmetry protected topological order and contextuality. Here we extend this web to quantum computation with magic states. In this…

Quantum Physics · Physics 2023-04-19 Robert Raussendorf , Cihan Okay , Michael Zurel , Polina Feldmann

The relation of the Wigner function with the fair probability distribution called tomographic distribution or quantum tomogram associated with the quantum state is reviewed. The connection of the tomographic picture of quantum mechanics…

Quantum Physics · Physics 2015-06-19 Margarita A. Man'ko , Vladimir I. Man'ko

The discovery of postquantum nonlocality, i.e., the existence of nonlocal correlations that are stronger than any quantum correlations but nevertheless consistent with the no-signaling principle, has deepened our understanding of the…

Quantum Physics · Physics 2015-11-09 Ana Belen Sainz , Nicolas Brunner , Daniel Cavalcanti , Paul Skrzypczyk , Tamás Vértesi

Quantum steering---a strong correlation to be verified even when one party or its measuring device is fully untrusted---not only provides a profound insight into quantum physics but also offers a crucial basis for practical applications.…

Quantum Physics · Physics 2016-07-18 Se-Wan Ji , Jaehak Lee , Jiyong Park , Hyunchul Nha

We study the behaviour of the Negativity of Wigner Function (NWF) as a measure of entanglement in non-Gaussian states under quantum polarisation converter devices. We analyze comparatively this quantity with other measures of entanglement…

Quantum Physics · Physics 2021-01-25 Mustapha Ziane , Morad El Baz

Recently, both global and local classical randomness-assisted projective measurement protocols have been employed to share Bell nonlocality of an entangled state among multiple sequential parties. Unlike Bell nonlocality,…

Quantum Physics · Physics 2024-05-13 Yan-Xin Rong , Shuo Wang , Zhen-Fei Zhang , Yong-Jian Gu , Ya Xiao

In this report we are aiming at introducing a global measure of non-classicality of the state space of $N$-level quantum systems and estimating it in the limit of large $N$. For this purpose we employ the Wigner function negativity as a…

Quantum Physics · Physics 2021-12-30 Vahagn Abgaryan , Arsen Khvedelidze , Ilya Rogojin

Singularity or negativity of Glauber P-function is a widespread notion of nonclassicality, with important implications in quantum optics and with the character of an irreducible resource. Here we explore how P-nonclassicality may be…

Quantum Physics · Physics 2020-05-08 Massimo Frigerio , Claudio Destri , Stefano Olivares , Matteo G. A. Paris

A unification of the set of quasiprobability representations using the mathematical theory of frames was recently developed for quantum systems with finite-dimensional Hilbert spaces, in which it was proven that such representations require…

Quantum Physics · Physics 2010-10-18 Christopher Ferrie , Ryan Morris , Joseph Emerson

We present a complete statistical analysis of quantum optical measurement schemes based on photodetection. Statistical distributions of quantum observables determined from a finite number of experimental runs are characterized with the help…

Quantum Physics · Physics 2015-06-26 Konrad Banaszek

Quantum steering is a recently-defined form of quantum correlation which lies at the heart of quantum mechanics. In difference from other types of quantum correlations, quantum steering is inherently asymmetric, which implies that it could…

Quantum Physics · Physics 2022-02-25 Qiang Zeng , Jiangwei Shang , H. Chau Nguyen , Xiangdong Zhang

We study the properties of the discrete Wigner distribution for two qubits introduced by Wotters. In particular, we analyze the entanglement properties within the Wigner distribution picture by considering the negativity of the Wigner…

Quantum Physics · Physics 2009-11-11 R. Franco , V. Penna

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality exhibiting an inherent asymmetry between the observers, Alice and Bob. We present a simple class of entangled two-qubit states which are one-way steerable, considering…

Quantum Physics · Physics 2016-06-07 Joseph Bowles , Tamás Vértesi , Marco Túlio Quintino , Nicolas Brunner

Quantum attributes of light have been related to non-classicality so far, i. e. to incompatibility with mixtures of coherent states. The progress in quantum optics indicates that this feature does not suffice to witness exotic behavior of…

Quantum Physics · Physics 2016-12-21 Lukáš Lachman , Radim Filip

Steering is a manifestation of quantum correlations that embodies the Einstein-Podolsky-Rosen (EPR) paradox. While there have been recent attempts to quantify steering, continuous variable systems remained elusive. We introduce a steering…

Quantum Physics · Physics 2015-03-11 Ioannis Kogias , Gerardo Adesso

We develop a resource theory for continuous-variable systems grounded on operations routinely available within current quantum technologies. In particular, the set of free operations is convex and includes quadratic transformations and…

Quantum Physics · Physics 2018-12-05 Francesco Albarelli , Marco G. Genoni , Matteo G. A. Paris , Alessandro Ferraro
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