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Quantum particles can be obtained from a classical probability distribution in phase space by a suitable coarse graining, whereby simultaneous classical information about position and momentum can be lost. For a suitable time evolution of…

量子物理 · 物理学 2015-05-18 C. Wetterich

We investigate the correlation properties of separable two qubit states with maximally mixed marginals. These states are divided to two sets with the same geometric quantum correlation. However a closer scrutiny of these states reveals a…

量子物理 · 物理学 2015-01-14 Azam Mani , Vahid Karimipour , Laleh Memarzadeh

We present a quantum information theory that allows for a consistent description of entanglement. It parallels classical (Shannon) information theory but is based entirely on density matrices (rather than probability distributions) for the…

量子物理 · 物理学 2009-10-30 Nicolas J. Cerf , Chris Adami

Many important results in modern quantum information theory have been obtained for an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

Studying the typical entanglement entropy of a bipartite system when averaging over different ensembles of pure quantum states has been instrumental in different areas of physics, ranging from many-body quantum chaos to black hole…

量子物理 · 物理学 2025-07-08 Lucas Hackl , Mario Kieburg , Joel Maldonado

We compare the classical and quantum mechanical position-space probability densities for a particle in an asymmetric infinite well. In an idealized system with a discontinuous step in the middle of the well, the classical and quantum…

量子物理 · 物理学 2007-05-23 M. A. Doncheski , R. W. Robinett

Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. Entanglement breaks bounds on correlations put by Bell's theorem, thus challenging the notion of local causality…

量子物理 · 物理学 2022-04-26 Markus Frembs , Andreas Döring

A highly entangled bipartite quantum state is more advantageous for the quantum dense coding protocol than states with low entanglement. Such a correspondence, however, does not exist even for pure quantum states in the multipartite domain.…

量子物理 · 物理学 2014-08-26 Tamoghna Das , R. Prabhu , Aditi Sen De , Ujjwal Sen

A possible notion of nonclassicality for single systems can be defined on the basis of the notion of memory cost of classically simulating probabilities observed in a temporal sequence of measurements. We further explore this idea in a…

量子物理 · 物理学 2019-09-16 Costantino Budroni , Gabriel Fagundes , Matthias Kleinmann

Mutual information is the reciprocal information that is common to or shared by two or more parties. Quantum mutual information for bipartite quantum systems is non-negative, and bears the interpretation of total correlation between the two…

量子物理 · 物理学 2017-08-02 Asutosh Kumar

In a previous paper a formalism to analyze the dynamical evolution of classical and quantum probability distributions in terms of their moments was presented. Here the application of this formalism to the system of a particle moving on a…

量子物理 · 物理学 2014-12-19 David Brizuela

The concepts of `conditional entropy' and `information' retain their validity for quantum systems, but their properties differ somewhat from those of their classical counterparts; specifically, some equalities and inequalities of classical…

量子物理 · 物理学 2007-05-23 Lev B. Levitin , Tommaso Toffoli

In order to study multipartite quantum cryptography, we introduce quantities which vanish on product probability distributions, and which can only decrease if the parties carry out local operations or carry out public classical…

量子物理 · 物理学 2009-11-07 N. J. Cerf , S. Massar , S. Schneider

The restrictions that nature places on the distribution of correlations in a multipartite quantum system play fundamental roles in the evolution of such systems, and yield vital insights into the design of protocols for the quantum control…

量子物理 · 物理学 2007-05-23 Tracey E. Tessier

Given an unknown quantum state distributed over two systems, we determine how much quantum communication is needed to transfer the full state to one system. This communication measures the "partial information" one system needs conditioned…

量子物理 · 物理学 2007-05-23 Michal Horodecki , Jonathan Oppenheim , Andreas Winter

The problem of converting noisy quantum correlations between two parties into noiseless classical ones using a limited amount of one-way classical communication is addressed. A single-letter formula for the optimal trade-off between the…

量子物理 · 物理学 2017-08-02 I. Devetak , A. Winter

Quantum discord, a measure of genuinely quantum correlations, is generalized to continuous variable systems. For all two-mode Gaussian states, we calculate analytically the quantum discord and a related measure of classical correlations,…

量子物理 · 物理学 2015-03-13 Gerardo Adesso , Animesh Datta

We show that quantum entanglement has a very close classical analogue, namely secret classical correlations. The fundamental analogy stems from the behavior of quantum entanglement under local operations and classical communication and the…

量子物理 · 物理学 2023-03-27 Daniel Collins , Sandu Popescu

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

量子物理 · 物理学 2018-07-02 Rocco Duvenhage

We provide experimental evidence of quantum features in bi-partite states classified as entirely classical according to a conventional criterion based on the Glauber P-function but possessing non-zero Gaussian quantum discord. Their quantum…