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Quantum discord is a manifestation of quantum correlations due to non-commutativity rather than entanglement. Two measures of quantum discord by the amount of non-commutativity via the trace norm and the Hilbert-Schmidt norm respectively…

量子物理 · 物理学 2016-05-03 Yu Guo

A symmetric measure of quantum correlation based on the Hilbert-Schmidt distance is presented in this paper. For two-qubit states, we simplify considerably the optimization procedure so that numerical evaluation can be performed…

量子物理 · 物理学 2011-07-18 Mingjun Shi , Fengjian Jiang , Jiangfeng Du

We employ the concepts of local quantum uncertainty and geometric quantum discord based on the trace norm to investigate the environmental effects on quantum correlations of two bipartite quantum systems. The first one concerns a two-qubit…

量子物理 · 物理学 2019-04-10 Abdallah Slaoui , Mohammed Daoud , Rachid Ahl Laamara

We consider local time evolution given by spontaneous emission in the system of independent two-level atoms. It is shown that all classically correlated initial states are driven into the states with transient non-zero quantum discord. Thus…

量子物理 · 物理学 2014-02-12 M. Gwozdz , L. Jakobczyk

Geometric quantum discord is a well-defined measure of quantum correlation if Schatten 1-norm (trace norm) is adopted as a distance measure. Here, we analytically investigate the dynamical behavior of the 1-norm geometric quantum discord…

量子物理 · 物理学 2013-05-08 J. D. Montealegre , F. M. Paula , A. Saguia , M. S. Sarandy

We extend the Hilbert-Schmidt (square norm) distance, previously used to define the geometric quantum discord, to define also geometric quantifiers of total and classical correlations. We then compare the dynamics of geometric and entropic…

量子物理 · 物理学 2012-07-19 Bruno Bellomo , Rosario Lo Franco , Giuseppe Compagno

The time evolution of the trace distance between two states of an open quantum system may increase due to initial system-environment correlations, thus exhibiting a breakdown of distance contractivity of the reduced dynamics. We analyze how…

量子物理 · 物理学 2016-08-14 Jerzy Dajka , Jerzy Łuczka , Peter Hänggi

It has recently been pointed out that the geometric quantum discord, as defined by the Hilbert-Schmidt norm (2-norm), is not a good measure of quantum correlations, since it may increase under local reversible operations on the unmeasured…

量子物理 · 物理学 2013-06-11 F. M. Paula , Thiago. R. de Oliveira , M. S. Sarandy

We propose a modified metric based on the Hilbert-Schmidt norm and adopt it to define a rescaled version of the geometric measure of quantum discord. Such a measure is found not to suffer from the pathological dependence on state purity.…

量子物理 · 物理学 2013-06-21 Tommaso Tufarelli , Tom MacLean , Davide Girolami , Ruggero Vasile , Gerardo Adesso

We explore two different geometric quantum discords defined respectively via the trace norm (GQD-1) and Hilbert-Schmidt norm (GQD-2) in multipartite systems. A rigorous hierarchy relation is revealed for the two GQDs in a class of symmetric…

量子物理 · 物理学 2015-06-19 Yan-Kui Bai , Ting-Ting Zhang , Li-Tao Wang , Z. D. Wang

We show that only those composite quantum systems possessing nonvanishing quantum correlations have the property that any nontrivial local unitary evolution changes their global state. We derive the exact relation between the global state…

量子物理 · 物理学 2013-01-17 S. M. Giampaolo , A. Streltsov , W. Roga , D. Bruß , F. Illuminati

It has been proven that the quantum discord is a more general tool to capture non-classical correlation than quantum entanglement, because there is a non-zero quantum discord in several mixed states that could not be measured by quantum…

量子物理 · 物理学 2015-03-20 N. Doustimotlagh

We establish relations between geometric quantum discord and entanglement quantifiers obtained by means of optimal witness operators. In particular, we prove a relation between negativity and geometric discord in the Hilbert-Schmidt norm,…

量子物理 · 物理学 2012-09-26 Tiago Debarba , Thiago O. Maciel , Reinaldo O. Vianna

The concept of quantum discord aims at unveiling quantum correlations that go beyond those described by entanglement. Its original formulation [J. Phys. A 34, 6899 (2001); Phys. Rev. Lett 88, 017901 (2002)] is difficult to compute even for…

In this article, we define a faithful quantifiers of bipartite quantum correlation, namely geometric version of quantum discord using affinity based metric. It is shown that the newly-minted measure resolves the local ancilla problem of…

量子物理 · 物理学 2022-11-29 R. Muthuganesan , S. Balakrishnan

A generalization of the geometric measure of quantum discord is introduced in this article, based on Hellinger distance. Our definition has virtues of computability and independence of local measurement. In addition it also does not suffer…

量子物理 · 物理学 2016-02-02 Hai-Tao Cui , Jun-Long Tian , Gui Yang

It is known from the analysis of the density matrix for bipartite systems that the quantum discord (as a measure of quantum correlations) depends on the particular subsystem chosen for the projective measurements. We study asymmetry of the…

量子物理 · 物理学 2015-05-27 E. B. Fel'dman , A. I. Zenchuk

We show that the Hilbert-Schmidt distance, unlike the trace distance, between quantum states is generally not monotonic for open quantum systems subject to Lindblad semigroup dynamics. Sufficient conditions for contractivity of the…

量子物理 · 物理学 2009-10-01 Xiaoting Wang , Sonia Schirmer

Quantum correlations may be measured by means of the distance of the state to the subclass of states $\Omega$ having well defined classical properties. In particular, a geometric measure of asymmetric discord [Dakic et al., Phys. Rev. Lett.…

量子物理 · 物理学 2012-12-06 Adam Miranowicz , Pawel Horodecki , Ravindra W. Chhajlany , Jan Tuziemski , Jan Sperling

In this paper, we consider quantum correlations (quantum discord and local quantum uncertainty) in a vertical quantum dot. Their dependencies on magnetic field and temperature are presented in detail. It is noticeable that, quantum discord…

量子物理 · 物理学 2014-01-21 E. Faizi , H. Eftekhari
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