Time optimal quantum state transfer in a fully-connected quantum computer

Abstract The speed limit of quantum state transfer (QST) in a system of interacting particles is not only important for quantum information processing, but also directly linked to Lieb–Robinson-type bounds that are crucial for understanding various aspects of quantum many-body physics. For strongly...

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Published inQuantum science and technology Vol. 9; no. 1; pp. 15014 - 15030
Main Authors Jameson, Casey, Basyildiz, Bora, Moore, Daniel, Clark, Kyle, Gong, Zhexuan
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.01.2024
Subjects
Lieb–Robinson bounds
long-range interactions
quantum optimal control
quantum speed limits
quantum state transfer
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Abstract Abstract The speed limit of quantum state transfer (QST) in a system of interacting particles is not only important for quantum information processing, but also directly linked to Lieb–Robinson-type bounds that are crucial for understanding various aspects of quantum many-body physics. For strongly long-range interacting systems such as a fully-connected quantum computer, such a speed limit is still unknown. Here we develop a new quantum brachistochrone method that can incorporate inequality constraints on the Hamiltonian. This method allows us to prove an exactly tight bound on the speed of QST on a subclass of Hamiltonians experimentally realizable by a fully-connected quantum computer.
AbstractList Abstract The speed limit of quantum state transfer (QST) in a system of interacting particles is not only important for quantum information processing, but also directly linked to Lieb–Robinson-type bounds that are crucial for understanding various aspects of quantum many-body physics. For strongly long-range interacting systems such as a fully-connected quantum computer, such a speed limit is still unknown. Here we develop a new quantum brachistochrone method that can incorporate inequality constraints on the Hamiltonian. This method allows us to prove an exactly tight bound on the speed of QST on a subclass of Hamiltonians experimentally realizable by a fully-connected quantum computer.
Author Basyildiz, Bora
Gong, Zhexuan
Jameson, Casey
Clark, Kyle
Moore, Daniel
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  givenname: Casey
  orcidid: 0000-0002-1428-4556
  surname: Jameson
  fullname: Jameson, Casey
  organization: Colorado School of Mines Department of Physics, Golden, CO 80401, United States of America
– sequence: 2
  givenname: Bora
  surname: Basyildiz
  fullname: Basyildiz, Bora
  organization: Colorado School of Mines Department of Computer Science, Golden, CO 80401, United States of America
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  givenname: Daniel
  surname: Moore
  fullname: Moore, Daniel
  organization: Colorado School of Mines Department of Physics, Golden, CO 80401, United States of America
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  givenname: Kyle
  surname: Clark
  fullname: Clark, Kyle
  organization: Colorado School of Mines Department of Physics, Golden, CO 80401, United States of America
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  givenname: Zhexuan
  orcidid: 0000-0001-9018-7865
  surname: Gong
  fullname: Gong, Zhexuan
  organization: National Institute of Standards and Technology , Boulder, CO 80305, United States of America
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Snippet Abstract The speed limit of quantum state transfer (QST) in a system of interacting particles is not only important for quantum information processing, but...
SourceID crossref
iop
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Publisher
StartPage 15014
SubjectTerms Lieb–Robinson bounds
long-range interactions
quantum optimal control
quantum speed limits
quantum state transfer
Title Time optimal quantum state transfer in a fully-connected quantum computer
URI https://iopscience.iop.org/article/10.1088/2058-9565/ad0770
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