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Global Quantum Discord derived from Tsallis entropy in Multipartite systems
살리스 엔트로피로 일반화 한 글로벌 양자 discord

DC Field Value Language
dc.contributor.advisor김도한-
dc.contributor.author이경진-
dc.date.accessioned2017-07-14T00:39:47Z-
dc.date.available2017-07-14T00:39:47Z-
dc.date.issued2013-02-
dc.identifier.other000000008191-
dc.identifier.urihttps://hdl.handle.net/10371/121256-
dc.description학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 김도한.-
dc.description.abstractIn this dissertation, we introduce the generalized global quantum discord, called the q-global quantum discord
(q-GQD), which is dened in terms of the quantum Tsallis entropy, and obtain the analytical expressions of q-GQD for
the special classe of multi-qubit states. Furthermore, we show a monogamy inequality for pairwise quantum correlation, which implies that the sum of pairwise quantum correlations is upper bounded by multipartite quantum correlation with respect to q-GQD.
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dc.description.tableofcontentsAbstract
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . .. . . .. 1
2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . 3
2.1 Axioms of quantum mechanics . . . . . . . . . . . . . . . . . . . . . . .. . . .. . . . .. . 3
2.2 Density operators . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.3 Quantum entanglement . . . . . . . . . . . . . . . . . . . . . . 9
2.4 The von Neumann entropy . . . . . . . . . . . . . . . . . . . 12
2.5 The Tsallis entropy . . . . . . . . . . . . . . . . . . . . . . . . 15
3 Quantum discord . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
3.1 Quantum discord . . . . . . . . . . . . . . . . . . . . . . . . . 17
3.1.1 Quantum discord in bipartite system . . . . . . . . . . . 17
3.1.2 Quantum discord in multipartite system . . . . . . . . . 20
3.2 Global Quantum discord . . . . . . . . . . . . . . . . . . . .. 22
4 Quantum discord derived from Tsallis entropy .............25
4.1 Quantum discord derived from Tsallis entropy ........ . 25
4.2 Global quantum discord derived from Tsallis entropy . . . . . . ..........................................................27
4.2.1 Global quantum discord derived from Tsallis entropy . . ..................................................................27
4.2.2 Properties of q-GQD . . . . . . . . . . . ..... . . . . . . . . 29
5 Conclusion 37
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dc.formatapplication/pdf-
dc.format.extent1251956 bytes-
dc.format.mediumapplication/pdf-
dc.language.isoen-
dc.publisher서울대학교 대학원-
dc.subjectquantum discord-
dc.subjectGlobal quantum discord-
dc.subjectTsallis entropy-
dc.subjectmonogamy-
dc.subject.ddc510-
dc.titleGlobal Quantum Discord derived from Tsallis entropy in Multipartite systems-
dc.title.alternative살리스 엔트로피로 일반화 한 글로벌 양자 discord-
dc.typeThesis-
dc.contributor.AlternativeAuthorKyungjin Lee-
dc.description.degreeDoctor-
dc.citation.pagesv, 40-
dc.contributor.affiliation자연과학대학 수리과학부-
dc.date.awarded2013-02-
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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