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We investigate and compare three distinguished geometric measures of bipartite quantum correlations that have been recently introduced in the literature: the geometric discord, the measurement-induced geometric discord, and the discord of…

量子物理 · 物理学 2016-05-26 Wojciech Roga , Dominique Spehner , Fabrizio Illuminati

The presence of quantum correlations in a quantum state is related to the state response to local unitary perturbations. Such response is quantified by the distance between the unperturbed and perturbed states, minimized with respect to…

量子物理 · 物理学 2014-08-25 W. Roga , S. M. Giampaolo , F. Illuminati

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

Entanglement is known to be an essential resource for many quantum information processes. However, it is now known that some quantum features may be acheived with quantum discord, a generalized measure of quantum correlation. In this paper,…

We define a new measure of quantum correlations in bipartite quantum systems given by the Bures distance of the system state to the set of classical states with respect to one subsystem, that is, to the states with zero quantum discord. Our…

量子物理 · 物理学 2013-12-23 Dominique Spehner , Miguel Orszag

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 give the explicit expressions of the pairwise quantum correlations present in superpositions of multipartite coherent states. A special attention is devoted to the evaluation of the geometric quantum discord. The dynamics of quantum…

量子物理 · 物理学 2015-06-11 M. Daoud , R. Ahl Laamara

The minimal Bures distance of a quantum state of a bipartite system AB to the set of classical states for subsystem A defines a geometric measure of quantum discord. When A is a qubit, we show that this geometric quantum discord is given in…

量子物理 · 物理学 2013-12-24 Dominique Spehner , Miguel Orszag

In this work, we investigate the dynamics of quantum correlations captured by entropic and geometric measures of discord under the influence of dissipative channels for widely used two qubit X state with maximally mixed marginals.…

量子物理 · 物理学 2022-05-31 Nitish Kumar Chandra , Sarang S. Bhosale , Prasanta K. Panigrahi

Quantum coherence and quantum correlations are of fundamental and practical significance for the development of quantum mechanics.They are also cornerstones of quantum computation and quantum communication theory. Searching physically…

量子物理 · 物理学 2018-12-18 Ming-Liang Hu , Xueyuan Hu , Jie-Ci Wang , Yi Peng , Yu-Ran Zhang , Heng Fan

Two geometric measures for quantum discord were recently proposed by Modi et al. [Phys. Rev. Lett. 104, 080501 (2010)] and Dakic et al. [Phys. Rev. Lett. 105, 190502 (2010)]. We study the similarities and differences for total quantum…

量子物理 · 物理学 2011-09-09 Zhenyu Xu , Wanli Yang , Xing Xiao , Mang Feng

Quantum discord measures quantum correlation by comparing the quantum mutual information with the maximal amount of mutual information accessible to a quantum measurement. This paper analyzes the properties of diagonal discord, a simplified…

量子物理 · 物理学 2019-03-04 Zi-Wen Liu , Ryuji Takagi , Seth Lloyd

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 show that the phenomenon of frozen discord, exhibited by specific classes of two-qubit states under local nondissipative decoherent evolutions, is a common feature of all known bona fide measures of general quantum correlations. All…

量子物理 · 物理学 2013-07-23 Benjamin Aaronson , Rosario Lo Franco , Gerardo Adesso

We study the evolution of quantum correlations, quantified by the geometric discord, of two excitonic quantum dot qubits under the influence of the phonon environment. We show that the decay of these correlations differs substantially form…

量子物理 · 物理学 2013-11-11 Katarzyna Roszak , Paweł Mazurek , Paweł Horodecki

This article contains a survey of the geometric approach to quantum correlations. We focus mainly on the geometric measures of quantum correlations based on the Bures and quantum Hellinger distances.

量子物理 · 物理学 2017-03-17 D. Spehner , F. Illuminati , M. Orszag , W. Roga

We investigate sudden change (SC) behaviors of the distance-based measures of geometric quantum discords (GQDs) for two non-interacting qubits subject to the two-sided and the one-sided thermal reservoirs. We found that the GQDs defined by…

量子物理 · 物理学 2015-04-13 Ming-Liang Hu , Jian Sun

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…

Two-qubit X-state is a large class of quantum states which plays an important role in the quantification and dynamical study of quantum correlations. However, the corresponding quantification of quantum discord is still missing for bona…

量子物理 · 物理学 2021-06-23 Chunhe Xiong , Guijun Zhang
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