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Entanglement and Geometry
Entanglement and Geometry
상세정보
- 자료유형
- 학위논문
- Control Number
- 0015491732
- International Standard Book Number
- 9781392369944
- Dewey Decimal Classification Number
- 530
- Main Entry-Personal Name
- Akers, Christopher.
- Publication, Distribution, etc. (Imprint
- [Sl] : University of California, Berkeley, 2019
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2019
- Physical Description
- 150 p
- General Note
- Source: Dissertations Abstracts International, Volume: 81-06, Section: B.
- General Note
- Advisor: Bousso, Raphael.
- Dissertation Note
- Thesis (Ph.D.)--University of California, Berkeley, 2019.
- Restrictions on Access Note
- This item must not be sold to any third party vendors.
- Summary, Etc.
- 요약There is now strong evidence of a deep connection between entanglement in quantum gravity and the geometry of spacetime. In this dissertation, we study multiple facets of this connection. We start by quantifying the entanglement of a scalar quantum field theory as a function of the curvature of its background. We then shift our focus to the AdS/CFT duality, and we prove multiple logical relationships between geometric statements in AdS and entropic statements in the CFT. Many of these proofs work in the presence of quantum corrections, and we prove under which geometric conditions entanglement wedge nesting continues to imply the quantum null energy condition (QNEC) when the CFT is on an arbitrary curved background. We also demonstrate that the non-gravitational limit of the quantum focusing conjecture implies the QNEC, given the same geometric conditions. Next, we prove the connection between the boundary of the future of a surface and the null geodesics originating orthogonally from that surface. This theorem is important for proving that the area of holographic screens increases monotonically. Finally, we derive the holographic prescription for computing Renyi entropies of a CFT with the formalism of quantum error-correction. In the process, we provide evidence that the quantum gravity degrees of freedom related to the AdS geometry are maximally-mixed.
- Subject Added Entry-Topical Term
- Theoretical physics
- Subject Added Entry-Topical Term
- Quantum physics
- Added Entry-Corporate Name
- University of California, Berkeley Physics
- Host Item Entry
- Dissertations Abstracts International. 81-06B.
- Host Item Entry
- Dissertation Abstract International
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:566061
MARC
008200131s2019 c eng d■001000015491732
■00520200217181403
■020 ▼a9781392369944
■035 ▼a(MiAaPQ)AAI13896589
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aAkers, Christopher.
■24510▼aEntanglement and Geometry
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2019
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2019
■300 ▼a150 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 81-06, Section: B.
■500 ▼aAdvisor: Bousso, Raphael.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2019.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aThere is now strong evidence of a deep connection between entanglement in quantum gravity and the geometry of spacetime. In this dissertation, we study multiple facets of this connection. We start by quantifying the entanglement of a scalar quantum field theory as a function of the curvature of its background. We then shift our focus to the AdS/CFT duality, and we prove multiple logical relationships between geometric statements in AdS and entropic statements in the CFT. Many of these proofs work in the presence of quantum corrections, and we prove under which geometric conditions entanglement wedge nesting continues to imply the quantum null energy condition (QNEC) when the CFT is on an arbitrary curved background. We also demonstrate that the non-gravitational limit of the quantum focusing conjecture implies the QNEC, given the same geometric conditions. Next, we prove the connection between the boundary of the future of a surface and the null geodesics originating orthogonally from that surface. This theorem is important for proving that the area of holographic screens increases monotonically. Finally, we derive the holographic prescription for computing Renyi entropies of a CFT with the formalism of quantum error-correction. In the process, we provide evidence that the quantum gravity degrees of freedom related to the AdS geometry are maximally-mixed.
■590 ▼aSchool code: 0028.
■650 4▼aTheoretical physics
■650 4▼aQuantum physics
■690 ▼a0753
■690 ▼a0599
■71020▼aUniversity of California, Berkeley▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g81-06B.
■773 ▼tDissertation Abstract International
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2019
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T15491732▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202002▼f2020
