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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.advisor | 김도한 | - |
| dc.contributor.author | 이경진 | - |
| dc.date.accessioned | 2017-07-14T00:39:47Z | - |
| dc.date.available | 2017-07-14T00:39:47Z | - |
| dc.date.issued | 2013-02 | - |
| dc.identifier.other | 000000008191 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/121256 | - |
| dc.description | 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 김도한. | - |
| dc.description.abstract | In 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. | - |
| dc.description.tableofcontents | Abstract
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 | - |
| dc.format | application/pdf | - |
| dc.format.extent | 1251956 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | en | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | quantum discord | - |
| dc.subject | Global quantum discord | - |
| dc.subject | Tsallis entropy | - |
| dc.subject | monogamy | - |
| dc.subject.ddc | 510 | - |
| dc.title | Global Quantum Discord derived from Tsallis entropy in Multipartite systems | - |
| dc.title.alternative | 살리스 엔트로피로 일반화 한 글로벌 양자 discord | - |
| dc.type | Thesis | - |
| dc.contributor.AlternativeAuthor | Kyungjin Lee | - |
| dc.description.degree | Doctor | - |
| dc.citation.pages | v, 40 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2013-02 | - |
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