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Applications of Quantum Information: From Black Hole Geometries to Gaussian Error Channels
Applications of Quantum Information: From Black Hole Geometries to Gaussian Error Channels
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211153042
- ISBN
- 9798346875673
- DDC
- 530
- 저자명
- Agrawal, Sristy.
- 서명/저자
- Applications of Quantum Information: From Black Hole Geometries to Gaussian Error Channels
- 발행사항
- [Sl] : University of Colorado at Boulder, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 151 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-06, Section: B.
- 주기사항
- Advisor: Smith, Graeme.
- 학위논문주기
- Thesis (Ph.D.)--University of Colorado at Boulder, 2024.
- 초록/해제
- 요약Quantum information theory explores how quantum systems can be used to process and transmit information. Unlike classical information theory, which deals with bits, quantum information theory harnesses the properties of quantum bits, or qubits, which can exist in superposition states and exhibit entanglement. This allows for the exploration of phenomena that have no classical analogs using concepts of quantum correlations and quantum channels. Quantum correlations, including entanglement, are crucial for understanding the non-classical behavior of quantum systems and enable powerful applications in quantum computing, cryptography, and communication.Meanwhile, quantum channels describe how quantum information is transmitted, offering insights into optimizing information transfer in quantum networks. Together, these concepts provide a framework for leveraging the unique capabilities of quantum mechanics to revolutionize information processing. In this thesis, we investigate key aspects of quantum information theory, focusing on quantum correlations and quantum channels in various contexts.In the first part of the thesis, we study quantum correlations by exploiting the connections between quantum information theory and quantum gravity, particularly within the AdS/CFT correspondence framework. This study aims to provide insights into quantum correlation measures by exploring how they can be encoded geometrically. Specifically, we examine the holographic realization of correlation measures in two-dimensional thermal states dual to spacetimes with a black hole horizon. However, as entanglement entropies for subregions of space in quantum field theories are in general divergent, the theory must be regulated for the entropies to be well-defined. Therefore in the second part, we study the regularization techniques used to compute entropies in AdS/CFT.Here, we discuss generalized cut-off independence of correlation measures which allows their value to remain finite, independent of the regularization technique being used, as the cut-off metric vanishes. We also introduce the horocycle regularization scheme which enables us to compute the value of correlation measures independent of the value of the cut-off metric, even for finite values.We conclude by tying the principles of quantum correlation and communication to demonstrate the constraints of quantum communication through Gaussian error channels. This involves analyzing the separability of joint Gaussian measurements after error channel application, which is crucial for conducting entanglement swapping in quantum transduction experiments. We explore how entanglement can be preserved and swapped under specific conditions, advancing the design of robust quantum communication protocols.Collectively, these studies contribute to a deeper understanding of quantum information processes, emphasizing the role of geometry and channel characteristics in optimizing quantum communication and elucidating the fundamental nature of quantum correlations.
- 일반주제명
- Physics
- 일반주제명
- Applied physics
- 일반주제명
- Quantum physics
- 키워드
- Blackholes
- 키워드
- Horocycle
- 키워드
- Quantum channels
- 기타저자
- University of Colorado at Boulder Physics
- 기본자료저록
- Dissertations Abstracts International. 86-06B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
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■020 ▼a9798346875673
■035 ▼a(MiAaPQ)AAI31639138
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aAgrawal, Sristy.
■24510▼aApplications of Quantum Information: From Black Hole Geometries to Gaussian Error Channels
■260 ▼a[Sl]▼bUniversity of Colorado at Boulder▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a151 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-06, Section: B.
■500 ▼aAdvisor: Smith, Graeme.
■5021 ▼aThesis (Ph.D.)--University of Colorado at Boulder, 2024.
■520 ▼aQuantum information theory explores how quantum systems can be used to process and transmit information. Unlike classical information theory, which deals with bits, quantum information theory harnesses the properties of quantum bits, or qubits, which can exist in superposition states and exhibit entanglement. This allows for the exploration of phenomena that have no classical analogs using concepts of quantum correlations and quantum channels. Quantum correlations, including entanglement, are crucial for understanding the non-classical behavior of quantum systems and enable powerful applications in quantum computing, cryptography, and communication.Meanwhile, quantum channels describe how quantum information is transmitted, offering insights into optimizing information transfer in quantum networks. Together, these concepts provide a framework for leveraging the unique capabilities of quantum mechanics to revolutionize information processing. In this thesis, we investigate key aspects of quantum information theory, focusing on quantum correlations and quantum channels in various contexts.In the first part of the thesis, we study quantum correlations by exploiting the connections between quantum information theory and quantum gravity, particularly within the AdS/CFT correspondence framework. This study aims to provide insights into quantum correlation measures by exploring how they can be encoded geometrically. Specifically, we examine the holographic realization of correlation measures in two-dimensional thermal states dual to spacetimes with a black hole horizon. However, as entanglement entropies for subregions of space in quantum field theories are in general divergent, the theory must be regulated for the entropies to be well-defined. Therefore in the second part, we study the regularization techniques used to compute entropies in AdS/CFT.Here, we discuss generalized cut-off independence of correlation measures which allows their value to remain finite, independent of the regularization technique being used, as the cut-off metric vanishes. We also introduce the horocycle regularization scheme which enables us to compute the value of correlation measures independent of the value of the cut-off metric, even for finite values.We conclude by tying the principles of quantum correlation and communication to demonstrate the constraints of quantum communication through Gaussian error channels. This involves analyzing the separability of joint Gaussian measurements after error channel application, which is crucial for conducting entanglement swapping in quantum transduction experiments. We explore how entanglement can be preserved and swapped under specific conditions, advancing the design of robust quantum communication protocols.Collectively, these studies contribute to a deeper understanding of quantum information processes, emphasizing the role of geometry and channel characteristics in optimizing quantum communication and elucidating the fundamental nature of quantum correlations.
■590 ▼aSchool code: 0051.
■650 4▼aPhysics
■650 4▼aApplied physics
■650 4▼aQuantum physics
■653 ▼aBlackholes
■653 ▼aHorocycle
■653 ▼aQuantum channels
■653 ▼aQuantum correlations
■653 ▼aQuantum information theory
■690 ▼a0605
■690 ▼a0599
■690 ▼a0215
■71020▼aUniversity of Colorado at Boulder▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g86-06B.
■790 ▼a0051
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164759▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
