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Quantum Error Detection and Correction of Bosonic Codes in a Superconducting Cavity
Quantum Error Detection and Correction of Bosonic Codes in a Superconducting Cavity
Quantum Error Detection and Correction of Bosonic Codes in a Superconducting Cavity

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자료유형  
 학위논문 서양
최종처리일시  
20260202103005
ISBN  
9798286441235
DDC  
530.1
저자명  
Koottandavida, Akshay.
서명/저자  
Quantum Error Detection and Correction of Bosonic Codes in a Superconducting Cavity
발행사항  
[Sl] : Yale University, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
190 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-12, Section: A.
주기사항  
Advisor: Devoret, Michel H.
학위논문주기  
Thesis (Ph.D.)--Yale University, 2025.
초록/해제  
요약Detecting and correcting decoherence errors is essential for the preservation of encoded information in quantum systems. Quantum error correction (QEC) based on bosonic codes where the information is stored in the multiple levels of harmonic oscillators has shown much promise recently. Bosonic codes, specifically those implemented in superconducting cavities, suffer from microwave photon losses which lead to increase in entropy of the system. How can we reduce this entropy, or in other words, can we detect and/or correct the errors associated with microwave photon loss of the cavity? This thesis work proposes and implements novel codes to address these errors. First, we realized a novel QEC code involving two modes of the cavity: the pair-binomial code, which corrects for photon losses in either of the modes. Additionally, we discuss a fault-tolerant implementation in which the code is resilient to errors in the auxiliary qubit that is used to provide nonlinearity to the system. Next, we implement a dual-rail qubit within this architecture, enabling detection of photon losses in the system. We develop novel techniques for control and tomography to fully characterize the system. We show that we can detect over 99% of the photon loss errors in the system, with residual errors of 0.2% per check. Finally, we develop another error detection code by encoding a logical qubit using the 0 and 2 Fock states of a single oscillator. In addition to error detection, we demonstrate logical readout and fault-tolerant single-qubit gates for this code. Moreover, we also propose a two-qubit gate between two such 0-2 qubits. These results demonstrate the potential of bosonic codes for error correction and detection in superconducting systems.
일반주제명  
Quantum physics
일반주제명  
Theoretical physics
일반주제명  
Communication
키워드  
Bosonic qubits
키워드  
Circuit quantum electrodynamics
키워드  
Erasure codes
키워드  
Hamiltonian engineering
키워드  
Quantum error correction
키워드  
Superconducting qubits
기타저자  
Yale University Applied Physics
기본자료저록  
Dissertations Abstracts International. 86-12A.
전자적 위치 및 접속  
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 008260126s2025        us                              c    eng  d
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■00520260202103005
■006m          o    d                
■007cr#unu||||||||
■020    ▼a9798286441235
■035    ▼a(MiAaPQ)AAI31840992
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530.1
■1001  ▼aKoottandavida,  Akshay.
■24510▼aQuantum  Error  Detection  and  Correction  of  Bosonic  Codes  in  a  Superconducting  Cavity
■260    ▼a[Sl]▼bYale  University▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a190  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-12,  Section:  A.
■500    ▼aAdvisor:  Devoret,  Michel  H.
■5021  ▼aThesis  (Ph.D.)--Yale  University,  2025.
■520    ▼aDetecting  and  correcting  decoherence  errors  is  essential  for  the  preservation  of  encoded  information  in  quantum  systems.  Quantum  error  correction  (QEC)  based  on  bosonic  codes  where  the  information  is  stored  in  the  multiple  levels  of  harmonic  oscillators  has  shown  much  promise  recently.  Bosonic  codes,  specifically  those  implemented  in  superconducting  cavities,  suffer  from  microwave  photon  losses  which  lead  to  increase  in  entropy  of  the  system.  How  can  we  reduce  this  entropy,  or  in  other  words,  can  we  detect  and/or  correct  the  errors  associated  with  microwave  photon  loss  of  the  cavity?  This  thesis  work  proposes  and  implements  novel  codes  to  address  these  errors.  First,  we  realized  a  novel  QEC  code  involving  two  modes  of  the  cavity:  the  pair-binomial  code,  which  corrects  for  photon  losses  in  either  of  the  modes.  Additionally,  we  discuss  a  fault-tolerant  implementation  in  which  the  code  is  resilient  to  errors  in  the  auxiliary  qubit  that  is  used  to  provide  nonlinearity  to  the  system.  Next,  we  implement  a  dual-rail  qubit  within  this  architecture,  enabling  detection  of  photon  losses  in  the  system.  We  develop  novel  techniques  for  control  and  tomography  to  fully  characterize  the  system.  We  show  that  we  can  detect  over  99%  of  the  photon  loss  errors  in  the  system,  with  residual  errors  of  0.2%  per  check.  Finally,  we  develop  another  error  detection  code  by  encoding  a  logical  qubit  using  the  0  and  2  Fock  states  of  a  single  oscillator.  In  addition  to  error  detection,  we  demonstrate  logical  readout  and  fault-tolerant  single-qubit  gates  for  this  code.  Moreover,  we  also  propose  a  two-qubit  gate  between  two  such  0-2  qubits.  These  results  demonstrate  the  potential  of  bosonic  codes  for  error  correction  and  detection  in  superconducting  systems.
■590    ▼aSchool  code:  0265.
■650  4▼aQuantum  physics
■650  4▼aTheoretical  physics
■650  4▼aCommunication
■653    ▼aBosonic  qubits
■653    ▼aCircuit  quantum  electrodynamics
■653    ▼aErasure  codes
■653    ▼aHamiltonian  engineering
■653    ▼aQuantum  error  correction
■653    ▼aSuperconducting  qubits
■690    ▼a0599
■690    ▼a0753
■690    ▼a0459
■71020▼aYale  University▼bApplied  Physics.
■7730  ▼tDissertations  Abstracts  International▼g86-12A.
■790    ▼a0265
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17356627▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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