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Phys. Lett. A, 2014, Volume 378, Issue 24, Pages 1704–1710 (Mi phla3)  

Tomographic causal analysis of two-qubit states and tomographic discord

E. O. Kiktenkoab, A. K. Fedorovac

a Bauman Moscow State Technical University, 2nd Baumanskaya St., 5, Moscow 105005, Russia
b Geoelectromagnetic Research Center of Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, PO Box 30, Troitsk, Moscow Region 142190, Russia
c Russian Quantum Center, Novaya St. 100, Skolkovo, Moscow 143025, Russia

Abstract: We study a behavior of two-qubit states subject to tomographic measurement. In this Letter we propose a novel approach to definition of asymmetry in quantum bipartite state based on its tomographic Shannon entropies. We consider two types of measurement bases: the first is one that diagonalizes density matrices of subsystems and is used in a definition of tomographic discord, and the second is one that maximizes Shannon mutual information and relates to symmetrical form quantum discord. We show how these approaches relate to each other and then implement them to the different classes of two-qubit states. Consequently, new subclasses of $X$-states are revealed.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation SP-961.2013.5
Dynasty Foundation
Russian Quantum Center
Russian Foundation for Basic Research 12-05-00001
14-08-00606
A.K.F. was supported by RQC and Dynasty Foundation Fellowships. E.O.K. was supported by Council for Grants of the President of the Russian Federation (grant SP-961.2013.5). The work was supported by RFBR (12-05-00001 & 14-08-00606).


DOI: https://doi.org/10.1016/j.physleta.2014.04.036


Bibliographic databases:

Document Type: Article
Received: 05.04.2014
Accepted:19.04.2014
Language: English

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