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

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-rang...

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Bibliographic Details
Published in:Quantum science and technology 2024-01, Vol.9 (1), p.15014
Main Authors: Jameson, Casey, Basyildiz, Bora, Moore, Daniel, Clark, Kyle, Gong, Zhexuan
Format: Article
Language:English
Subjects:
Lieb–Robinson bounds
long-range interactions
quantum optimal control
quantum speed limits
quantum state transfer
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Summary: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.
ISSN:2058-9565
2058-9565
DOI:10.1088/2058-9565/ad0770