Russell, Benjamin James and Stepney, Susan orcid.org/0000-0003-3146-5401 (2014) Zermelo Navigation and a Speed Limit to Quantum Information Processing. Physical Review A (Atomic, Molecular, and Optical Physics). 012303. ISSN 1094-1622
Abstract
We use a specific geometric method to determine speed limits to the implementation of quantum gates in controlled quantum systems that have a specific class of constrained control functions. We achieve this by applying a recent theorem of Shen, which provides a connection between time optimal navigation on Riemannian manifolds and the geodesics of a certain Finsler metric of Randers type. We use the lengths of these geodesics to derive the optimal implementation times (under the assumption of constant control fields) for an arbitrary quantum operation (on a finite dimensional Hilbert space), and explicitly calculate the result for the case of a controlled single spin system in a magnetic field, and a swap gate in a Heisenberg spin chain.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Depositing User: | Pure (York) |
Date Deposited: | 20 Mar 2017 16:40 |
Last Modified: | 16 Oct 2024 12:27 |
Published Version: | https://doi.org/10.1103/PhysRevA.90.012303 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevA.90.012303 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:113743 |