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:arXiv.org 2023-11
Main Authors: Jameson, Casey, Bora Basyildiz, Moore, Daniel, Clark, Kyle, Gong, Zhexuan
Format: Article
Language:English
Subjects:
Data processing
Quantum computers
Quantum computing
Quantum phenomena
Speed limits
Online Access:Get full text
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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:2331-8422
DOI:10.48550/arxiv.2303.04804