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A novel measure, quantumness of correlations is introduced here for bipartite states, by incorporating the required measurement scheme crucial in defining any such quantity. Quantumness coincides with the previously proposed measures in…

量子物理 · 物理学 2008-04-20 A. R. Usha Devi , A. K. Rajagopal

In quantum information theory it is generally accepted that quantum mutual information is an information-theoretic measure of total correlations of a bipartite quantum state. We argue that there exist quantum states for which quantum mutual…

量子物理 · 物理学 2012-11-16 Zbigniew Walczak

We consider the classical correlations that two observers can extract by measurements on a bipartite quantum state, and we discuss how they are related to the quantum mutual information of the state. We show with several examples how…

量子物理 · 物理学 2009-09-19 Shengjun Wu , Uffe V. Poulsen , Klaus Mølmer

In this paper we discuss the problem of splitting the total correlations for a bipartite quantum state described by the Von Neumann mutual information into classical and quantum parts. We propose a measure of the classical correlations as…

量子物理 · 物理学 2009-11-07 S. Hamieh , J. Qi , D. Siminovitch , M. K. Ali

We introduce an algebraic measure of correlations in bipartite quantum systems. The proposed quantity, called maximal mutual correlation, provides the information how much a given state differs from the product state of its marginals. In…

量子物理 · 物理学 2016-07-25 Lech Jakobczyk

Broadcasting quantum and classical information is a basic task in quantum information processing, and is also a useful model in the study of quantum correlations including quantum discord. We establish a full operational characterization of…

量子物理 · 物理学 2017-08-16 Wei Xie , Kun Fang , Xin Wang , Runyao Duan

The distillable randomness of a bipartite quantum state is an information-theoretic quantity equal to the largest net rate at which shared randomness can be distilled from the state by means of local operations and classical communication.…

量子物理 · 物理学 2023-07-06 Ludovico Lami , Bartosz Regula , Xin Wang , Mark M. Wilde

We study emerging notions of quantum correlations in compound systems. Based on different definitions of quantumness in individual subsystems, we investigate how they extend to the joint description of a composite system. Especially, we…

量子物理 · 物理学 2017-06-12 J. Sperling , E. Agudelo , I. A. Walmsley , W. Vogel

We propose a new measure of quantum entanglement. Our measure is defined in terms of conditional information transmission for a Quantum Bayesian Net. We show that our measure is identically equal to the Entanglement of Formation in the case…

量子物理 · 物理学 2007-05-23 Robert R. Tucci

It is shown that (i) all entangled states can be mapped by single-copy measurements into probability distributions containing secret correlations, and (ii) if a probability distribution obtained from a quantum state contains secret…

量子物理 · 物理学 2009-11-10 Antonio Acin , Nicolas Gisin

In this work we developed a general approach to the problem of detecting and quantifying different kind of correlations in bipartite quantum systems. Our method is based on the use of distances between quantum states and processes. We rely…

量子物理 · 物理学 2019-02-27 D. G. Bussandri , A. P. Majtey , P. W. Lamberti , T. M. Osán

Quantum information, though not precisely defined, is a fundamental concept of quantum information theory which predicts many fascinating phenomena and provides new physical resources. A basic problem is to recognize the features of quantum…

量子物理 · 物理学 2007-06-13 M. Horodecki , P. Horodecki , R. Horodecki , M. Piani

Quantum entanglement of pure states of a bipartite system is defined as the amount of local or marginal ({\em i.e.}referring to the subsystems) entropy. For mixed states this identification vanishes, since the global loss of information…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

An essential feature of genuine quantum correlation is the simultaneous existence of correlation in complementary bases. We reveal this feature of quantum correlation by defining measures based on invariance under a basis change. For a…

量子物理 · 物理学 2014-02-11 Shengjun Wu , Zhihao Ma , Zhihua Chen , Sixia Yu

Given a quantum system on many qubits split into a few different parties, how many total correlations are there between these parties? Such a quantity, aimed to measure the deviation of the global quantum state from an uncorrelated state…

量子物理 · 物理学 2022-02-15 Zhenhuan Liu , Pei Zeng , You Zhou , Mile Gu

We prove that the correlations present in a multipartite quantum state have an \emph{operational} quantum character as soon as the state does not simply encode a multipartite classical probability distribution, i.e. does not describe the…

量子物理 · 物理学 2008-05-09 Marco Piani , Pawel Horodecki , Ryszard Horodecki

We introduce a complete set of complementary quantities in bipartite, two-dimensional systems. Complementarity then relates the quantitative entanglement measure concurrence which is a bipartite property to the single-particle quantum…

量子物理 · 物理学 2007-05-23 Matthias Jakob , Janos A. Bergou

Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or…

Amount of entanglement carried by a quantum bipartite state is usually evaluated in terms of concurrence (see Ref. 1). We give a physical interpretation of concurrence that reveals a way of its direct measurement and discuss possible…

量子物理 · 物理学 2016-08-16 Alexander Klyachko , Barış Öztop , Alexander S. Shumovsky

We derive quantitative relations among several naturally defined measures of classical and nonclassical correlations in a bipartite quantum state. We also obtain an upper bound of entanglement irreversibility and a sufficient condition for…

量子物理 · 物理学 2012-07-30 Shengjun Wu
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