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Chaos Solitons & Fractals

Vanishing quantum discord and complete entropy exchange between subsystems in a bipartite system

Xue Qun Yan

Published Sep 20, 2012• 0 citations
Publisher
DOI
10.1016/j.chaos.2012.08.001

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In this paper, a computable multipartite multimode Gaussian quantum correlation measure M(k){\mathcal M}^{(k)}M(k) is proposed for any kkk-partite continuous-variable (CV) systems with k≥2k\geq 2k≥2. M(k){\mathcal M}^{(k)}M(k) depends only on the covariance matrix of CV states, is invariant under any permutation of subsystems, is a quantification without ancilla problem, nonincreasing under kkk-partite local Gaussian channels (particularly, invariant under kkk-partite local Gaussian unitary operations), vanishes on kkk-partite product states. For a kkk-partite Gaussian state ρρρ, M(k)(ρ)=0{\mathcal M}^{(k)}(ρ)=0M(k)(ρ)=0 if and only if ρρρ is a kkk-partite product state. Thus, for the bipartite case, M=M(2){\mathcal M}={\mathcal M}^{(2)}M=M(2) is an accessible replacement of the Gaussian quantum discord and Gaussian geometric discord. Moreover, M(k){\mathcal M}^{(k)}M(k) satisfies the unification condition, hierarchy condition that a multipartite quantum correlation measure should obey. M(k){\mathcal M}^{(k)}M(k) is not bipartite like monogamous, but, M(k){\mathcal M}^{(k)}M(k) is complete monogamous and tight complete monogamous.