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Truncating the Hilbert Space: Topics on Hardware-Efficient Quantum Control, Error Correction, and Tomography
Truncating the Hilbert Space: Topics on Hardware-Efficient Quantum Control, Error Correction, and Tomography
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202104828
- ISBN
- 9798293817771
- DDC
- 530.1
- 저자명
- Yuan, Ming.
- 서명/저자
- Truncating the Hilbert Space: Topics on Hardware-Efficient Quantum Control, Error Correction, and Tomography
- 발행사항
- [Sl] : The University of Chicago, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 258 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
- 주기사항
- Advisor: Jiang, Liang.
- 학위논문주기
- Thesis (Ph.D.)--The University of Chicago, 2025.
- 초록/해제
- 요약Over the past century, people have observed the development of quantum mechanics from a conceptual mystery to a powerful framework for information processing. However, the quantum information remains fragile due to the ubiquitous noise. To address the challenge, device physicists continue to improve pulse-level control schemes for better performance in physical operations, while information scientists employ resource redundancy to protect the quantum states from direct damage caused by noise. Bridging these efforts, the hardware-efficient paradigm exploits the specific hardware structures to suppress the error or reshape the error pattern, which facilitates the error correction or characterization in the next step.On the other hand, the Hilbert space is usually intractable due to its size. In this dissertation, I will provide several case studies to achieve hardware-efficiency through the truncation of Hilbert space. First, we truncate the Hilbert space of a resonator through a destructive interference, streamlining pulse design for high-fidelity operations. Then, we utilize driven-dissipative processes to autonomously stabilize subspaces in resonators or atomic systems, which provides an encoded qubit with a structured error channel. We also design operations that preserve such error structures, as they are essential for the next-level error correction. Finally, a collective truncation in a multipartite system or constraints on specific subsets of states in the Hilbert space can also provide efficiency in state characterization tasks. I will present several experimentally relevant examples to justify this claim.
- 일반주제명
- Quantum physics
- 일반주제명
- Physics
- 일반주제명
- Atomic physics
- 키워드
- Quantum control
- 키워드
- Atomic systems
- 기본자료저록
- Dissertations Abstracts International. 87-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798293817771
■035 ▼a(MiAaPQ)AAI32170234
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530.1
■1001 ▼aYuan, Ming.▼0(orcid)0000-0002-5625-6481
■24510▼aTruncating the Hilbert Space: Topics on Hardware-Efficient Quantum Control, Error Correction, and Tomography
■260 ▼a[Sl]▼bThe University of Chicago▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a258 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-03, Section: B.
■500 ▼aAdvisor: Jiang, Liang.
■5021 ▼aThesis (Ph.D.)--The University of Chicago, 2025.
■520 ▼aOver the past century, people have observed the development of quantum mechanics from a conceptual mystery to a powerful framework for information processing. However, the quantum information remains fragile due to the ubiquitous noise. To address the challenge, device physicists continue to improve pulse-level control schemes for better performance in physical operations, while information scientists employ resource redundancy to protect the quantum states from direct damage caused by noise. Bridging these efforts, the hardware-efficient paradigm exploits the specific hardware structures to suppress the error or reshape the error pattern, which facilitates the error correction or characterization in the next step.On the other hand, the Hilbert space is usually intractable due to its size. In this dissertation, I will provide several case studies to achieve hardware-efficiency through the truncation of Hilbert space. First, we truncate the Hilbert space of a resonator through a destructive interference, streamlining pulse design for high-fidelity operations. Then, we utilize driven-dissipative processes to autonomously stabilize subspaces in resonators or atomic systems, which provides an encoded qubit with a structured error channel. We also design operations that preserve such error structures, as they are essential for the next-level error correction. Finally, a collective truncation in a multipartite system or constraints on specific subsets of states in the Hilbert space can also provide efficiency in state characterization tasks. I will present several experimentally relevant examples to justify this claim.
■590 ▼aSchool code: 0330.
■650 4▼aQuantum physics
■650 4▼aPhysics
■650 4▼aAtomic physics
■653 ▼aQuantum control
■653 ▼aQuantum error correction
■653 ▼aQuantum state tomography
■653 ▼aAtomic systems
■653 ▼aQuantum information
■690 ▼a0599
■690 ▼a0605
■690 ▼a0748
■71020▼aThe University of Chicago.
■7730 ▼tDissertations Abstracts International▼g87-03B.
■790 ▼a0330
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359060▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
