In Li and Luo(2007 Phys.Rev.A 76032327),the inequality(1/2)T≥Q was identified as a fundamental postulate for a consistent theory of quantum versus classical correlations for arbitrary measures of total T and quantum ...In Li and Luo(2007 Phys.Rev.A 76032327),the inequality(1/2)T≥Q was identified as a fundamental postulate for a consistent theory of quantum versus classical correlations for arbitrary measures of total T and quantum Q correlations in bipartite quantum states.Besides,Hayden et al(2006 Commun.Math.Phys.26595)have conjectured that,in some conditions within systems endowed with infinite-dimensional Hilbert spaces,quantum correlations may dominate not only half of total correlations but total correlations itself.Here,in a two-mode Gaussian state,quantifying T and Q respectively by the quantum mutual information I~G and the entanglement of formation(EoF)ε_(F)^(G),we verify thatε_(F)^(G),is always less than(1/2)I_(R)^(G( when I~G andε_(F)^(G) are defined via the Rényi-2 entropy.While via the von Neumann entropy,ε_(F,V)^(G),may even dominate I_(V)^(G) itself,which partly consolidates the Hayden conjecture,and partly,provides strong evidence hinting that the origin of this counterintuitive behavior should intrinsically be related to the von Neumann entropy by which the EoFε_(F,V)^(G),is defined,rather than related to the conceptual definition of the EoFε_(F).The obtained results show that—in the special case of mixed two-mode Gaussian states—quantum entanglement can be faithfully quantified by the Gaussian Rényi-2 EoFε_(F,R)^(G),.展开更多
基金I am particularly indebted to an anonymous referee for constructive critiques and insightful comments.
文摘In Li and Luo(2007 Phys.Rev.A 76032327),the inequality(1/2)T≥Q was identified as a fundamental postulate for a consistent theory of quantum versus classical correlations for arbitrary measures of total T and quantum Q correlations in bipartite quantum states.Besides,Hayden et al(2006 Commun.Math.Phys.26595)have conjectured that,in some conditions within systems endowed with infinite-dimensional Hilbert spaces,quantum correlations may dominate not only half of total correlations but total correlations itself.Here,in a two-mode Gaussian state,quantifying T and Q respectively by the quantum mutual information I~G and the entanglement of formation(EoF)ε_(F)^(G),we verify thatε_(F)^(G),is always less than(1/2)I_(R)^(G( when I~G andε_(F)^(G) are defined via the Rényi-2 entropy.While via the von Neumann entropy,ε_(F,V)^(G),may even dominate I_(V)^(G) itself,which partly consolidates the Hayden conjecture,and partly,provides strong evidence hinting that the origin of this counterintuitive behavior should intrinsically be related to the von Neumann entropy by which the EoFε_(F,V)^(G),is defined,rather than related to the conceptual definition of the EoFε_(F).The obtained results show that—in the special case of mixed two-mode Gaussian states—quantum entanglement can be faithfully quantified by the Gaussian Rényi-2 EoFε_(F,R)^(G),.
