Coherence and information conservation and their applications in Mach-Zehnder interferometer

doi:10.7498/aps.68.20181778

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	Coherence and information conservation and their applications in Mach-Zehnder interferometer
	Fu Shuang-Shuang 1; Luo Shun-Long2,3 ; Sun Yuan 2,3
	2019-01-31
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	68 期号:3 页码:6
摘要	Coherence and complementarity are two important themes in quantum mechanics, which have been widely and thoroughly investigated. Recently, with the rapid development of quantum information theory, various measures have been introduced for quantitatively studying the coherence and complementarity. However, most of these studies are independent of each other in that they focus on only one theme, for example, the waveparticle duality and Heisenberg uncertainty principle are usually regarded as manifestation of Bohr's complementary principle, while coherence is a quantum feature closely related to quantum superposition. During the past few years, there has been a flurry of research interest in the study of quantum coherence from the quantum resource-theoretic point of view. In this paper, we establish two information conservation relations and employ them to characterize complementarity and quantum coherence. As an illustration of the main results, we discuss these two themes in the Mach-Zehnder interferometer. Our study reveals that these two quantum themes are closely related to each other. Our main results are listed as follows. Firstly, we establish two information conservation relations, one is based on "Bures distance versus fidelity" and the other based on " symmetry versus asymmetry" . Then we employ these information conservation relations to investigate coherence and complementarity. Specifically, we provide an explanation of the "Bures distance versus fidelity" trade-off relation from the information conservation perspective, establish the link between the information conservation relation and wave-particle duality, and derive the famous Englert inequality concerning "fringe visibility versus path distinguishability" from the information conservation relation. Furthermore, in the general framework of state-channel interaction, we derive "symmetry versus asymmetry" trade-off relation and explain it as an information conservation relation, reveal its intrinsic relations with coherence and complementarity. Lastly, we demonstrate that the two information conservation relations are closely interrelated, and we also discuss the coherence, decoherence and complementarity in the Mach-Zehnder interferometer, explicitly, we reveal that the Bures distance can be regarded as a lower bound of the asymmetry of state-channel interaction while fidelity is an upper bound of the symmetry of state-channel interaction. We expect that our information conservation relation can provide a unified framework for the study of coherence and complementarity.
关键词	coherence complementary information conservation Mach-Zehnder interferometer
DOI	10.7498/aps.68.20181778
语种	英语
资助项目	Natural Science Foundation of Beijing, China[1174017] ; Young Scientists Fund of the National Natural Science Foundation of China[11605006] ; National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences, China[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences, China[2008DP173182]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000458164600002
出版者	CHINESE 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/32362
专题	应用数学研究所
通讯作者	Luo Shun-Long
作者单位	1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Fu Shuang-Shuang,Luo Shun-Long,Sun Yuan. Coherence and information conservation and their applications in Mach-Zehnder interferometer[J]. ACTA PHYSICA SINICA,2019,68(3):6.
APA	Fu Shuang-Shuang,Luo Shun-Long,&Sun Yuan.(2019).Coherence and information conservation and their applications in Mach-Zehnder interferometer.ACTA PHYSICA SINICA,68(3),6.
MLA	Fu Shuang-Shuang,et al."Coherence and information conservation and their applications in Mach-Zehnder interferometer".ACTA PHYSICA SINICA 68.3(2019):6.