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Coherence and information conservation and their applications in Mach-Zehnder interferometer
Fu Shuang-Shuang1; Luo Shun-Long2,3; Sun Yuan2,3
2019-01-31
Source PublicationACTA PHYSICA SINICA
ISSN1000-3290
Volume68Issue:3Pages:6
AbstractCoherence 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.
Keywordcoherence complementary information conservation Mach-Zehnder interferometer
DOI10.7498/aps.68.20181778
Language英语
Funding ProjectNatural 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 Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000458164600002
PublisherCHINESE PHYSICAL SOC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32362
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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