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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Bibliographic Details
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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Summary: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.
Bibliography:QST-102381.R1
ISSN:2058-9565
2058-9565
DOI:10.1088/2058-9565/ad0770