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Quantum Computing for Plasma Physics via Second Quantization
Quantum Computing for Plasma Physics via Second Quantization
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105135
- ISBN
- 9798293894901
- DDC
- 530
- 서명/저자
- Quantum Computing for Plasma Physics via Second Quantization
- 발행사항
- [Sl] : Princeton University, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 114 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-04, Section: B.
- 주기사항
- Advisor: Qin, Hong.
- 학위논문주기
- Thesis (Ph.D.)--Princeton University, 2025.
- 초록/해제
- 요약Quantum computers might offer significant memory and speed advantages over classical computers for certain classes of problems, but it is not clear which classes of plasma physics problems may enjoy these advantages. While plasma physics equations are in general nonlinear, Hamiltonian, and infinite-dimensional, quantum computers require operators that are linear, unitary, and finite-dimensional. This requires implementing some scheme for conditioning plasma physics equations for quantum computation. Second quantization has the remarkable ability to render many systems suitable for quantum computation, but it does so at the cost of introducing quantum artifacts like diffraction, uncertainty relations, and interference. In this dissertation I second quantize three increasingly complex systems-the quantum harmonic oscillator, the nonlinear three-wave equations, and the Vlasov-Poisson system-and show that, despite the introduction of quantum phenomena, second quantization results in structure preserving, linear discretizations which accurately capture the dynamics of the systems prior to quantization.I start with the quantum harmonic oscillator and show that a discrete version, the discrete quantum harmonic oscillator (DQHO), may be derived from the second quantization of a two-wave interaction. Unlike in a naive discretization, the DQHO preserves important structures of the original system at every resolution, including the energy spectrum, recurrence relationships, and wavefunction structure. I next consider the quantum three-wave equations (which are integrable, but nonlinear) and the Vlasov-Poisson system (which is not integrable and nonlinear). In both systems, I determine conditions for classical correspondence and give numerical and analytic evidence of the quantum systems' ability to capture nonlinear dynamics for finite times. For the three-wave system, I show how the classical three-wave instability is realized in the quantum system as quantum scrambling, while for the Vlasov-Poisson system I detail a procedure for second quantizing the system, rendering it linear, finite, and sparse. Finally, I derive favorable scalings for the parallel integration of multiple trajectories in the second quantized Vlasov-Poisson system using existing quantum Hamiltonian algorithms.
- 일반주제명
- Plasma physics
- 일반주제명
- Quantum physics
- 일반주제명
- Astrophysics
- 키워드
- Vlasov--poisson
- 기타저자
- Princeton University Astrophysical Sciences-Plasma Physics Program
- 기본자료저록
- Dissertations Abstracts International. 87-04B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798293894901
■035 ▼a(MiAaPQ)AAI32239669
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aMay, Michael Quackenbush, III.▼0(orcid)0000-0001-5261-6024
■24510▼aQuantum Computing for Plasma Physics via Second Quantization
■260 ▼a[Sl]▼bPrinceton University▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a114 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-04, Section: B.
■500 ▼aAdvisor: Qin, Hong.
■5021 ▼aThesis (Ph.D.)--Princeton University, 2025.
■520 ▼aQuantum computers might offer significant memory and speed advantages over classical computers for certain classes of problems, but it is not clear which classes of plasma physics problems may enjoy these advantages. While plasma physics equations are in general nonlinear, Hamiltonian, and infinite-dimensional, quantum computers require operators that are linear, unitary, and finite-dimensional. This requires implementing some scheme for conditioning plasma physics equations for quantum computation. Second quantization has the remarkable ability to render many systems suitable for quantum computation, but it does so at the cost of introducing quantum artifacts like diffraction, uncertainty relations, and interference. In this dissertation I second quantize three increasingly complex systems-the quantum harmonic oscillator, the nonlinear three-wave equations, and the Vlasov-Poisson system-and show that, despite the introduction of quantum phenomena, second quantization results in structure preserving, linear discretizations which accurately capture the dynamics of the systems prior to quantization.I start with the quantum harmonic oscillator and show that a discrete version, the discrete quantum harmonic oscillator (DQHO), may be derived from the second quantization of a two-wave interaction. Unlike in a naive discretization, the DQHO preserves important structures of the original system at every resolution, including the energy spectrum, recurrence relationships, and wavefunction structure. I next consider the quantum three-wave equations (which are integrable, but nonlinear) and the Vlasov-Poisson system (which is not integrable and nonlinear). In both systems, I determine conditions for classical correspondence and give numerical and analytic evidence of the quantum systems' ability to capture nonlinear dynamics for finite times. For the three-wave system, I show how the classical three-wave instability is realized in the quantum system as quantum scrambling, while for the Vlasov-Poisson system I detail a procedure for second quantizing the system, rendering it linear, finite, and sparse. Finally, I derive favorable scalings for the parallel integration of multiple trajectories in the second quantized Vlasov-Poisson system using existing quantum Hamiltonian algorithms.
■590 ▼aSchool code: 0181.
■650 4▼aPlasma physics
■650 4▼aQuantum physics
■650 4▼aAstrophysics
■653 ▼aDiscrete quantum harmonic oscillator
■653 ▼aQuantum computing
■653 ▼aQuantum hamiltonian simulation
■653 ▼aSecond quantization
■653 ▼aStructure-preserving
■653 ▼aVlasov--poisson
■690 ▼a0759
■690 ▼a0599
■690 ▼a0596
■71020▼aPrinceton University▼bAstrophysical Sciences-Plasma Physics Program.
■7730 ▼tDissertations Abstracts International▼g87-04B.
■790 ▼a0181
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359543▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
