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On quantum versions of Markov chains : 양자 마르코프 체인
양자 마르코프 체인
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 이훈희 | - |
dc.contributor.author | 안민정 | - |
dc.date.accessioned | 2019-05-07T04:32:02Z | - |
dc.date.available | 2019-05-07T04:32:02Z | - |
dc.date.issued | 2019-02 | - |
dc.identifier.other | 000000155084 | - |
dc.identifier.uri | https://hdl.handle.net/10371/151592 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2019. 2. 이훈희. | - |
dc.description.abstract | 마르코프체인은 가산 또는 연속적인 상태공간에서의 마르코프프로세스의
일종이지만, 그 양자적 확장의 정의는 다양하다. 이 논문에서는 고전적 마 르코프체인과 양자마르코프체인을 조사하고 정보이론적 관점에서의 성질을 논한다. 그리고 L.Accacdi 와 D.Koroliuk 그리고 Denes Petz 에 의해 정의된 양자마르코프체인의 두가지 정의에 대해 설명하고 두 정의사이의 연관관계를 보인다. | - |
dc.description.abstract | A Markov chain is a type of a Markov process that has discrete time in
either countable or continuous state space, but its quantum version defi- nition varies. In this thesis, we examine classical Markov chains and their quantum versions, and find their properties from information theoretical point of view. We discuss two definitions of quantum Markov chain defined by L.Accacdi, D.Koroliuk and Denes Petz, and we examine the relationship between the two definitions. | - |
dc.description.tableofcontents | Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i
1 Introduction 1 2 Preliminaries 3 2.1 C ∗ -algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Positive and completely positive maps . . . . . . . . . . . . 4 3 Markov chains 6 3.1 Markov chains . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2 Information quantities . . . . . . . . . . . . . . . . . . . . . 9 4 Quantum Markov chains 13 4.1 Definition of quantum Markov chains (defined by L.Accardi and D.Koroliuk) . . . . . . . . . . . 13 4.2 Another definition of quantum Markov chains (defined by Denes P etz) . . . . . . . . . . . . . . . . . . . . 16 5 Quantum Markov state 18 5.1 Quantum Markov state . . . . . . . . . . . . . . . . . . . . 18 The bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 iiCONTENTS iii 국문초록 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 | - |
dc.language.iso | eng | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject.ddc | 510 | - |
dc.title | On quantum versions of Markov chains | - |
dc.title.alternative | 양자 마르코프 체인 | - |
dc.type | Thesis | - |
dc.type | Dissertation | - |
dc.contributor.AlternativeAuthor | AN MIN JUNG | - |
dc.description.degree | Master | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2019-02 | - |
dc.title.subtitle | 양자 마르코프 체인 | - |
dc.identifier.uci | I804:11032-000000155084 | - |
dc.identifier.holdings | 000000000026▲000000000039▲000000155084▲ | - |
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