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Exploring the Limits of Classical Simulation: From Computational Many-Body Dynamics to Quantum Advantage- [electronic resource]
Exploring the Limits of Classical Simulation: From Computational Many-Body Dynamics to Qua...
Exploring the Limits of Classical Simulation: From Computational Many-Body Dynamics to Quantum Advantage- [electronic resource]

Detailed Information

자료유형  
 학위논문파일 국외
최종처리일시  
20240214101303
ISBN  
9798380367424
DDC  
530.1
저자명  
Kahanamoku-Meyer, Gregory Donald.
서명/저자  
Exploring the Limits of Classical Simulation: From Computational Many-Body Dynamics to Quantum Advantage - [electronic resource]
발행사항  
[S.l.]: : University of California, Berkeley., 2023
발행사항  
Ann Arbor : : ProQuest Dissertations & Theses,, 2023
형태사항  
1 online resource(227 p.)
주기사항  
Source: Dissertations Abstracts International, Volume: 85-03, Section: B.
주기사항  
Advisor: Yao, Norman Y.
학위논문주기  
Thesis (Ph.D.)--University of California, Berkeley, 2023.
사용제한주기  
This item must not be sold to any third party vendors.
초록/해제  
요약For many years after the dawn of computing machines, it seemed to be the case that the dynamics of any physical system (including all computers, which of course are physical systems themselves) could be efficiently simulated by a simple model of a computer called the Turing machine. A consequence was that computational problems that were found to be hard for Turing machines-those requiring a runtime superpolynomial in the size of the input- remained hard no matter what machine was built to solve them. But in the latter part of the 20th century, an intriguing counterexample emerged: quantum mechanics. The simulation of straightforward quantum systems seemed to have an exponential computational cost. This led to a provocative question: what if one were to build a computer from quantum mechanical components? Could that machine outperform the Turing machine, and efficiently simulate arbitrary quantum processes? And are there other hard problems that such a machine could efficiently solve?In this dissertation we explore several questions stemming from those ideas. First, classical simulation of quantum many-body physics may be hard, but modern supercomputers are extremely powerful-with cutting-edge innovations in both hardware and algorithms, what quantum simulations can be achieved, and what physics can we learn from them? Second, while there has been astounding progress in the development of quantum computers, they are still small and noisy-what can we do on these near-term devices, that cannot be done with the powerful classical supercomputers just described? Furthermore, if we do a quantum mechanical computation that seems to be infeasible for even the fastest classical machines, how do we check that the result is actually correct? Answering these questions requires deeply exploring the physical nature of computing; at heart, it comes down to the beautiful puzzle of organizing the physical world around us to process information.
일반주제명  
Quantum physics.
일반주제명  
Computer science.
일반주제명  
Computational physics.
키워드  
Cryptography
키워드  
High-performance computing
키워드  
Many-body physics
키워드  
Computing machines
키워드  
Quantum computing
기타저자  
University of California, Berkeley Physics
기본자료저록  
Dissertations Abstracts International. 85-03B.
기본자료저록  
Dissertation Abstract International
전자적 위치 및 접속  
로그인 후 원문을 볼 수 있습니다.

MARC

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■035    ▼a(MiAaPQ)AAI30531199
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530.1
■1001  ▼aKahanamoku-Meyer,  Gregory  Donald.
■24510▼aExploring  the  Limits  of  Classical  Simulation:  From  Computational  Many-Body  Dynamics  to  Quantum  Advantage▼h[electronic  resource]
■260    ▼a[S.l.]:▼bUniversity  of  California,  Berkeley.  ▼c2023
■260  1▼aAnn  Arbor  :▼bProQuest  Dissertations  &  Theses,  ▼c2023
■300    ▼a1  online  resource(227  p.)
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-03,  Section:  B.
■500    ▼aAdvisor:  Yao,  Norman  Y.
■5021  ▼aThesis  (Ph.D.)--University  of  California,  Berkeley,  2023.
■506    ▼aThis  item  must  not  be  sold  to  any  third  party  vendors.
■520    ▼aFor  many  years  after  the  dawn  of  computing  machines,  it  seemed  to  be  the  case  that  the  dynamics  of  any  physical  system  (including  all  computers,  which  of  course  are  physical  systems  themselves)  could  be  efficiently  simulated  by  a  simple  model  of  a  computer  called  the  Turing  machine.  A  consequence  was  that  computational  problems  that  were  found  to  be  hard  for  Turing  machines-those  requiring  a  runtime  superpolynomial  in  the  size  of  the  input-  remained  hard  no  matter  what  machine  was  built  to  solve  them.  But  in  the  latter  part  of  the  20th  century,  an  intriguing  counterexample  emerged:  quantum  mechanics.  The  simulation  of  straightforward  quantum  systems  seemed  to  have  an  exponential  computational  cost.  This  led  to  a  provocative  question:  what  if  one  were  to  build  a  computer  from  quantum  mechanical  components?  Could  that  machine  outperform  the  Turing  machine,  and  efficiently  simulate  arbitrary  quantum  processes?  And  are  there  other  hard  problems  that  such  a  machine  could  efficiently  solve?In  this  dissertation  we  explore  several  questions  stemming  from  those  ideas.  First,  classical  simulation  of  quantum  many-body  physics  may  be  hard,  but  modern  supercomputers  are  extremely  powerful-with  cutting-edge  innovations  in  both  hardware  and  algorithms,  what  quantum  simulations  can  be  achieved,  and  what  physics  can  we  learn  from  them?  Second,  while  there  has  been  astounding  progress  in  the  development  of  quantum  computers,  they  are  still  small  and  noisy-what  can  we  do  on  these  near-term  devices,  that  cannot  be  done  with  the  powerful  classical  supercomputers  just  described?  Furthermore,  if  we  do  a  quantum  mechanical  computation  that  seems  to  be  infeasible  for  even  the  fastest  classical  machines,  how  do  we  check  that  the  result  is  actually  correct?  Answering  these  questions  requires  deeply  exploring  the  physical  nature  of  computing;  at  heart,  it  comes  down  to  the  beautiful  puzzle  of  organizing  the  physical  world  around  us  to  process  information.
■590    ▼aSchool  code:  0028.
■650  4▼aQuantum  physics.
■650  4▼aComputer  science.
■650  4▼aComputational  physics.
■653    ▼aCryptography
■653    ▼aHigh-performance  computing
■653    ▼aMany-body  physics
■653    ▼aComputing  machines
■653    ▼aQuantum  computing
■690    ▼a0599
■690    ▼a0984
■690    ▼a0216
■71020▼aUniversity  of  California,  Berkeley▼bPhysics.
■7730  ▼tDissertations  Abstracts  International▼g85-03B.
■773    ▼tDissertation  Abstract  International
■790    ▼a0028
■791    ▼aPh.D.
■792    ▼a2023
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16933554▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.
■980    ▼a202402▼f2024

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