On Quantum No-Broadcasting

doi:10.1007/s11005-010-0389-1

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	On Quantum No-Broadcasting
	Luo, Shunlong1,2
	2010-05-01
发表期刊	LETTERS IN MATHEMATICAL PHYSICS
ISSN	0377-9017
卷号	92 期号:2 页码:143-153
摘要	We address the issue of one-side local broadcasting for correlations in a quantum bipartite state, and conjecture that the correlations can be broadcast if and only if they are classical-quantum, or equivalently, the quantum discord, as defined by Ollivier and Zurek (Phys Rev Lett 88:017901, 2002), vanishes. We prove this conjecture when the reduced state is maximally mixed and further provide various plausible arguments supporting this conjecture. Moreover, we demonstrate that the conjecture implies the following two elegant and fundamental no-broadcasting theorems: (1) The original no-broadcasting theorem by Barnum et al. (Phys Rev Lett 76:2818, 1996), which states that a family of quantum states can be broadcast if and only if the quantum states commute. (2) The no-local-broadcasting theorem for quantum correlations by Piani et al. (Phys Rev Lett 100:090502, 2008), which states that the correlations in a single bipartite state can be locally broadcast if and only if they are classical. The results provide an informational interpretation for classical-quantum states from an operational perspective and shed new lights on the intrinsic relation between non-commutativity and quantumness.
关键词	bipartite states quantum relative entropy quantum mutual information classical-quantum states no-broadcasting
DOI	10.1007/s11005-010-0389-1
语种	英语
资助项目	NSFC[10771208] ; Science Fund for Creative Research Groups[10721101] ; Key Lab of Random Complex Structures and Data Science, CAS[2008DP173182]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000277243800004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10465
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong. On Quantum No-Broadcasting[J]. LETTERS IN MATHEMATICAL PHYSICS,2010,92(2):143-153.
APA	Luo, Shunlong.(2010).On Quantum No-Broadcasting.LETTERS IN MATHEMATICAL PHYSICS,92(2),143-153.
MLA	Luo, Shunlong."On Quantum No-Broadcasting".LETTERS IN MATHEMATICAL PHYSICS 92.2(2010):143-153.