相干与信息守恒及其在Mach-Zehnder干涉中的应用

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	相干与信息守恒及其在Mach-Zehnder干涉中的应用
其他题名	Coherence and information conservation and their applications in Mach-Zehnder interferometer
	傅双双 1; 骆顺龙2 ; 孙源 2
	2019
发表期刊	物理学报
ISSN	1000-3290
卷号	000 期号:003 页码:7-12
摘要	自量子力学诞生以来,相干性和互补性一直是被广泛而深入研究的两个重要课题.随着量子信息近年来的发展,人们引入了若干度量来定量地刻画相干性和互补性.本文建立两个信息守恒关系式,分别基于"Bures距离-保真度"和"对称-非对称",并且利用它们来刻画相干性和互补性.具体来说,首先从信息守恒的观点解释Bures距离和保真度的互补关系,并由此自然推导出Mach-Zehnder干涉仪中的Englert"干涉-路径"互补关系.其次在量子态和信道相互作用的一般框架中讨论"对称-非对称"信息守恒关系,并揭示其与Bohr互补性和量子相干性的内在联系.最后,在Mach-Zehnder干涉仪中探讨相干、退相干及互补性,刻画两个信息守恒关系之间的密切联系.
其他摘要	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	相干互补性信息守恒 Mach-Zehnder干涉仪
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:6437658
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55194
专题	应用数学研究所
作者单位	1.北京科技大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	傅双双,骆顺龙,孙源. 相干与信息守恒及其在Mach-Zehnder干涉中的应用[J]. 物理学报,2019,000(003):7-12.
APA	傅双双,骆顺龙,&孙源.(2019).相干与信息守恒及其在Mach-Zehnder干涉中的应用.物理学报,000(003),7-12.
MLA	傅双双,et al."相干与信息守恒及其在Mach-Zehnder干涉中的应用".物理学报 000.003(2019):7-12.