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Towards Practical Fault-Tolerant Quantum Computing
Towards Practical Fault-Tolerant Quantum Computing
Towards Practical Fault-Tolerant Quantum Computing

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자료유형  
 학위논문 서양
최종처리일시  
20250211151114
ISBN  
9798382775449
DDC  
530
저자명  
Xu, Qian.
서명/저자  
Towards Practical Fault-Tolerant Quantum Computing
발행사항  
[Sl] : The University of Chicago, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
215 p
주기사항  
Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
주기사항  
Advisor: Jiang, Liang.
학위논문주기  
Thesis (Ph.D.)--The University of Chicago, 2024.
초록/해제  
요약Quantum computers hold the promise of solving classically intractable problems. However, quantum systems are intrinsically faulty due to the environment-induced noise and decoherence. As such, fault-tolerant quantum computers, which can run a quantum computation successfully even if the physical operations are faulty, are needed for solving utility-scale problems. Building such a fault-tolerant quantum computer requires a fault-tolerant scheme, which replaces target quantum circuits with new circuits that involve extra qubits and more gates but are robust against all physical faults with the help of quantum error correction. The state-of-the-art fault-tolerant scheme, which we refer to as the baseline scheme, encodes qubits into planar surface-code patches and performs encoded logical operations via code deformations and lattice surgeries. However, its large space-time overhead, which requires millions of physical qubits and takes days for large computations, poses a formidable challenge for scaling quantum computing to practical levels. In this thesis, we introduce new fault-tolerant schemes by leveraging new hardware and coding features not previously considered by the baseline scheme. Specifically, we present new schemes for bosonic systems that feature an infinite-dimensional Hilbert space, design noise-tailored topological codes, and investigate low-overhead schemes on hardware with long-range connectivity using the recently developed quantum low-density-parity-check codes. Our results demonstrate that by incorporating these hardware-specific schemes and employing improved quantum codes, we can drastically reduce the overhead barrier towards practical fault-tolerant quantum computing.
일반주제명  
Physics
일반주제명  
Quantum physics
일반주제명  
Applied physics
일반주제명  
Computer science
일반주제명  
Theoretical physics
키워드  
Fault tolerance
키워드  
Quantum computing
키워드  
Quantum error correction
키워드  
Discrete-variable ancillae
키워드  
Stabilizer codes
기타저자  
The University of Chicago Molecular Engineering
기본자료저록  
Dissertations Abstracts International. 85-12B.
전자적 위치 및 접속  
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MARC

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■0820  ▼a530
■1001  ▼aXu,  Qian.▼0(orcid)0000-0002-8738-9420
■24510▼aTowards  Practical  Fault-Tolerant  Quantum  Computing
■260    ▼a[Sl]▼bThe  University  of  Chicago▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a215  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-12,  Section:  B.
■500    ▼aAdvisor:  Jiang,  Liang.
■5021  ▼aThesis  (Ph.D.)--The  University  of  Chicago,  2024.
■520    ▼aQuantum  computers  hold  the  promise  of  solving  classically  intractable  problems.  However,  quantum  systems  are  intrinsically  faulty  due  to  the  environment-induced  noise  and  decoherence.  As  such,  fault-tolerant  quantum  computers,  which  can  run  a  quantum  computation  successfully  even  if  the  physical  operations  are  faulty,  are  needed  for  solving  utility-scale  problems.  Building  such  a  fault-tolerant  quantum  computer  requires  a  fault-tolerant  scheme,  which  replaces  target  quantum  circuits  with  new  circuits  that  involve  extra  qubits  and  more  gates  but  are  robust  against  all  physical  faults  with  the  help  of  quantum  error  correction.  The  state-of-the-art  fault-tolerant  scheme,  which  we  refer  to  as  the  baseline  scheme,  encodes  qubits  into  planar  surface-code  patches  and  performs  encoded  logical  operations  via  code  deformations  and  lattice  surgeries.  However,  its  large  space-time  overhead,  which  requires  millions  of  physical  qubits  and  takes  days  for  large  computations,  poses  a  formidable  challenge  for  scaling  quantum  computing  to  practical  levels.  In  this  thesis,  we  introduce  new  fault-tolerant  schemes  by  leveraging  new  hardware  and  coding  features  not  previously  considered  by  the  baseline  scheme.  Specifically,  we  present  new  schemes  for  bosonic  systems  that  feature  an  infinite-dimensional  Hilbert  space,  design  noise-tailored  topological  codes,  and  investigate  low-overhead  schemes  on  hardware  with  long-range  connectivity  using  the  recently  developed  quantum  low-density-parity-check  codes.  Our  results  demonstrate  that  by  incorporating  these  hardware-specific  schemes  and  employing  improved  quantum  codes,  we  can  drastically  reduce  the  overhead  barrier  towards  practical  fault-tolerant  quantum  computing.
■590    ▼aSchool  code:  0330.
■650  4▼aPhysics
■650  4▼aQuantum  physics
■650  4▼aApplied  physics
■650  4▼aComputer  science
■650  4▼aTheoretical  physics
■653    ▼aFault  tolerance
■653    ▼aQuantum  computing
■653    ▼aQuantum  error  correction
■653    ▼aDiscrete-variable  ancillae
■653    ▼aStabilizer  codes
■690    ▼a0605
■690    ▼a0599
■690    ▼a0984
■690    ▼a0753
■690    ▼a0215
■71020▼aThe  University  of  Chicago▼bMolecular  Engineering.
■7730  ▼tDissertations  Abstracts  International▼g85-12B.
■790    ▼a0330
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160771▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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