Complementarity relations for quantum coherence

doi:10.1103/PhysRevA.92.042101

	Complementarity relations for quantum coherence
	Cheng, Shuming 1,2; Hall, Michael J. W.1
刊名	PHYSICAL REVIEW A
	2015-10-02
卷号	92 期号:4 页码:8
ISSN号	1050-2947
DOI	10.1103/PhysRevA.92.042101
英文摘要	Various measures have been suggested recently for quantifying the coherence of a quantum state with respect to a given basis. We first use two of these, the l(1)-norm and relative entropy measures, to investigate tradeoffs between the coherences of mutually unbiased bases. Results include relations between coherence, uncertainty, and purity; tight general bounds restricting the coherences of mutually unbiased bases; and an exact complementarity relation for qubit coherences. We further define the average coherence of a quantum state. For the l(1)-norm measure this is related to a natural "coherence radius" for the state and leads to a conjecture for an l(2)-norm measure of coherence. For relative entropy the average coherence is determined by the difference between the von Neumann entropy and the quantum subentropy of the state and leads to upper bounds for the latter quantity. Finally, we point out that the relative entropy of coherence is a special case of G-asymmetry, which immediately yields several operational interpretations in contexts as diverse as frame alignment, quantum communication, and metrology, and suggests generalizing the property of quantum coherence to arbitrary groups of physical transformations.
资助项目	ARC Centre of Excellence[CE110001027] ; National Natural Science Foundation (NNSF) of China[61134008] ; National Natural Science Foundation (NNSF) of China[61227902]
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000362079800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20873]
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, Shuming
作者单位	1.Griffith Univ, Ctr Quantum Computat & Commun Technol, Australian Res Council, Ctr Quantum Dynam, Brisbane, Qld 4111, Australia 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Shuming,Hall, Michael J. W.. Complementarity relations for quantum coherence[J]. PHYSICAL REVIEW A,2015,92(4):8.
APA	Cheng, Shuming,&Hall, Michael J. W..(2015).Complementarity relations for quantum coherence.PHYSICAL REVIEW A,92(4),8.
MLA	Cheng, Shuming,et al."Complementarity relations for quantum coherence".PHYSICAL REVIEW A 92.4(2015):8.