Paper Info
Title
Geometric measure of quantum discord for a two-parameter class of states in a qubit---qutrit system under various dissipative channels
Abstract
Quantum discord, as a measure of all quantum correlations, has been proposed as the key resource in certain quantum communication tasks and quantum computational models without containing much entanglement. Dakić et al. (Phys Rev Lett 105:190502, 2010) introduced a geometric measure of quantum discord (GMQD) and derived an explicit formula for any two-qubit state. Luo and Fu (Phys Rev A 82:034302, 2010) introduced another form of GMQD and derived an explicit formula for arbitrary state in a bipartite quantum system. However, the explicit analytical expression for any bipartite system was not given. In this work, we give out the explicit analytical expressions of the GMQD for a two-parameter class of states in a qubit---qutrit system and study its dynamics for the states under various dissipative channels in the first time. Our results show that all these dynamic evolutions do not lead to a sudden vanishing of GMQD. Quantum correlations vanish at an asymptotic time for local or multi-local dephasing, phase-flip, and depolarizing noise channels. However, it does not disappear even though t 驴 驴 for local trit-flip and local trit-phase-flip channels. Our results maybe provide some important information for the application of GMQD in hybrid qubit---qutrit systems in quantum information.
Year
DOI
Venue
2013
10.1007/s11128-012-0458-8
Quantum Information Processing
Keywords
Field
DocType
quantum information,various dissipative channel,explicit formula,two-parameter class,certain quantum communication task,bipartite system,quantum discord,qutrit system,quantum correlation,geometric measure,explicit analytical expression,bipartite quantum system,quantum computational model
Open quantum system,Quantum mechanics,Quantum process,Quantum information,Quantum discord,Qubit,Quantum capacity,Quantum operation,Quantum error correction,Physics
Journal
Volume
Issue
ISSN
12
2
1573-1332
Citations 
PageRank 
References 
12
2.65
2
Authors
3
Name
Order
Citations
PageRank
Hai-Rui Wei1237.20
Bao-Cang Ren2153.89
Fuguo Deng34714.30