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Topics in Quantum Gravity and Quantum Information
Topics in Quantum Gravity and Quantum Information
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151334
- ISBN
- 9798384450184
- DDC
- 530.1
- 서명/저자
- Topics in Quantum Gravity and Quantum Information
- 발행사항
- [Sl] : University of California, Berkeley, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 121 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-04, Section: B.
- 주기사항
- Advisor: Nomura, Yasunori.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2024.
- 초록/해제
- 요약This dissertation explores numerous applications of concepts from quantum information theory to quantum gravity, the AdS/CFT correspondence, as well as holographic dualities more generally. A recurring theme will be the notion that geometric quantities in the bulk are dual to information-theoretic quantities in the boundary. The Ryu-Takayanagi formula and related results tell us that entanglement entropies in the CFT are given in terms of the areas of minimal surface in the bulk. This geometric formula for entanglement entropy imposes inequalities on the entanglement entropies of various CFT regions for static spacetimes, known as the holographic entropy cone. We will numerically investigate the validity of the five-region inequalities for a specific dynamical spacetime, a collapsing black hole spacetime. We find that, for all cases considered, all of the inequalities are satisfied when the null energy condition is satisfied in the bulk, while all of the inequalities are violated if the null energy condition is not satisfied in the bulk. This provides some evidence for the validity of the five-region inequalities in general settings in AdS/CFT with a dynamical bulk. We then discuss the complexity-action and complexity-volume conjectures in the setting of holographic Friedmann-Robertson-Walker universes, which are more realistic cosmological models than AdS space. These conjectures pass some non-trivial consistency checks in these settings. Following this, operator complexity is studied numerically for one- and two-qubit systems using Nielsen complexity geometry. Even though these are relatively simple systems, some interesting similarities are found with the behavior of complexity for more interesting, larger systems. Finally, we explore the use of sandwiched Renyi relative entropy in holography, and in finite-dimensional models of quantum error correction.
- 일반주제명
- Theoretical physics
- 일반주제명
- Particle physics
- 일반주제명
- Quantum physics
- 일반주제명
- Physics
- 키워드
- Quantum gravity
- 키워드
- CFT regions
- 기타저자
- University of California, Berkeley Physics
- 기본자료저록
- Dissertations Abstracts International. 86-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211151334
■006m o d
■007cr#unu||||||||
■020 ▼a9798384450184
■035 ▼a(MiAaPQ)AAI31241602
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aCaginalp, Reginald.
■24510▼aTopics in Quantum Gravity and Quantum Information
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a121 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-04, Section: B.
■500 ▼aAdvisor: Nomura, Yasunori.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2024.
■520 ▼aThis dissertation explores numerous applications of concepts from quantum information theory to quantum gravity, the AdS/CFT correspondence, as well as holographic dualities more generally. A recurring theme will be the notion that geometric quantities in the bulk are dual to information-theoretic quantities in the boundary. The Ryu-Takayanagi formula and related results tell us that entanglement entropies in the CFT are given in terms of the areas of minimal surface in the bulk. This geometric formula for entanglement entropy imposes inequalities on the entanglement entropies of various CFT regions for static spacetimes, known as the holographic entropy cone. We will numerically investigate the validity of the five-region inequalities for a specific dynamical spacetime, a collapsing black hole spacetime. We find that, for all cases considered, all of the inequalities are satisfied when the null energy condition is satisfied in the bulk, while all of the inequalities are violated if the null energy condition is not satisfied in the bulk. This provides some evidence for the validity of the five-region inequalities in general settings in AdS/CFT with a dynamical bulk. We then discuss the complexity-action and complexity-volume conjectures in the setting of holographic Friedmann-Robertson-Walker universes, which are more realistic cosmological models than AdS space. These conjectures pass some non-trivial consistency checks in these settings. Following this, operator complexity is studied numerically for one- and two-qubit systems using Nielsen complexity geometry. Even though these are relatively simple systems, some interesting similarities are found with the behavior of complexity for more interesting, larger systems. Finally, we explore the use of sandwiched Renyi relative entropy in holography, and in finite-dimensional models of quantum error correction.
■590 ▼aSchool code: 0028.
■650 4▼aTheoretical physics
■650 4▼aParticle physics
■650 4▼aQuantum physics
■650 4▼aPhysics
■653 ▼aQuantum gravity
■653 ▼aFinite-dimensional models
■653 ▼aCFT regions
■653 ▼aNielsen complexity geometry
■690 ▼a0753
■690 ▼a0798
■690 ▼a0599
■690 ▼a0605
■71020▼aUniversity of California, Berkeley▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-04B.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161281▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
