Decorrelating capabilities of operations with application to decoherence

doi:10.1103/PhysRevA.82.052122

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	Decorrelating capabilities of operations with application to decoherence
	Luo, Shunlong; Fu, Shuangshuang; Li, Nan
	2010-11-30
发表期刊	PHYSICAL REVIEW A
ISSN	1050-2947
卷号	82 期号:5 页码:12
摘要	Decoherence, interpreted broadly, is essentially the leakage of system information into the environment and is often accompanied by dissipation. The basic questions arise: how to quantify decoherence induced by an operation and how to quantitatively compare decoherence induced by different operations. In this paper, based on a joint ancilla-system-environment tripartite purification for the initial system state and the operation, and by exploiting the intrinsic relations between the loss of correlations in the ancilla-system and the correlations established in the system-environment, we characterize and quantify decoherence from a decorrelating perspective. For this purpose, we first address the issue of separating and quantifying the classical and quantum parts of decorrelation. By use of the canonical isomorphism between operations and bipartite states, we propose two intrinsic decorrelation measures: One is the classical decorrelation based on the loss of classical correlations, and the other is the quantum decorrelation based on the loss of quantum correlations. With the help of quantum decorrelation, we introduce an intuitive measure of (quantum) decoherence. We further employ these informational quantities to analyze some widely used channels such as the complete decoherent channel, the depolarizing channel, the bit-flip channel, the transpose depolarizing channel, the amplitude damping channel, and the phase damping channel. Our analysis illustrates the intriguing interplay between classical and quantum decorrelations and sheds some light on the informational nature of decoherence.
DOI	10.1103/PhysRevA.82.052122
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	Optics ; Physics
WOS类目	Optics ; Physics, Atomic, Molecular & Chemical
WOS记录号	WOS:000286728700003
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9271
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Fu, Shuangshuang,Li, Nan. Decorrelating capabilities of operations with application to decoherence[J]. PHYSICAL REVIEW A,2010,82(5):12.
APA	Luo, Shunlong,Fu, Shuangshuang,&Li, Nan.(2010).Decorrelating capabilities of operations with application to decoherence.PHYSICAL REVIEW A,82(5),12.
MLA	Luo, Shunlong,et al."Decorrelating capabilities of operations with application to decoherence".PHYSICAL REVIEW A 82.5(2010):12.