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Survey of Quantum entanglement and Geometry : 양자얽힘과 기하에 대한 조사
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 조철현 | - |
| dc.contributor.author | Jiwon Kim | - |
| dc.date.accessioned | 2017-07-19T09:01:35Z | - |
| dc.date.available | 2017-07-19T09:01:35Z | - |
| dc.date.issued | 2016-08 | - |
| dc.identifier.other | 000000136901 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/131512 | - |
| dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2016. 8. 조철현. | - |
| dc.description.abstract | The aim of this paper is a understanding quantum entanglement states using algebraic geometry First, this survey introduce a concept of the quantum entanglement and recent observation on equivalent class of stochastic local operations and classical communication(SLOCC). We also survey Moduli stacks that birational to the SLOCC classes of quantum entanglement states. | - |
| dc.description.tableofcontents | Chapter 1 Introduction 1
Chapter 2 Quantum Entanglement 3 2.1 Qudit system 3 2.1.1 SLOCC classes 4 2.2 Separated and Entanglement states 4 2.2.1 Bipartite quantum structure 4 2.2.2 Schmidt decomposition 4 2.3 Three, Four Qubit structure 5 Chapter 3 Algebraic Geometry 6 3.1 Fibered Category 6 3.2 Md,n category 7 3.3 Artin stack 7 3.4 Quotient stack 8 3.5 Main Theorem 8 3.5.1 Proof of Main theorem 8 Chapter 4 Noncommutative algebra 11 4.1 N3 stack 11 4.1.1 Definition 11 4.2 N4 stack 12 4.2.1 Definition 12 4.2.2 Theorem 12 4.2.3 Theorem 12 4.3 Conclusion 12 Bibliography 14 초록 16 | - |
| dc.format | application/pdf | - |
| dc.format.extent | 288797 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | ko | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | 양자얽힘 | - |
| dc.subject | 모듈러스 스택 | - |
| dc.subject | 큐빗 | - |
| dc.subject | SLOCC클라스 | - |
| dc.subject.ddc | 510 | - |
| dc.title | Survey of Quantum entanglement and Geometry | - |
| dc.title.alternative | 양자얽힘과 기하에 대한 조사 | - |
| dc.type | Thesis | - |
| dc.contributor.AlternativeAuthor | 김지원 | - |
| dc.description.degree | Master | - |
| dc.citation.pages | 17 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2016-08 | - |
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