Alsina, D and Razavi, M orcid.org/0000-0003-4172-2125 (2021) Absolutely maximally entangled states, quantum maximum distance separable codes, and quantum repeaters. Physical Review A: Atomic, Molecular and Optical Physics, 103 (2). 022402. ISSN 1050-2947
Abstract
We extend the relation between absolutely maximally entangled (AME) states and quantum maximum distance separable (QMDS) codes by constructing whole families of QMDS codes from their parent AME states. We introduce a reduction-friendly form for the generator set of the stabilizer representation of an AME state, from which the stabilizer form for children codes, all QMDS, can be obtained. We then relate this to optimal codes for one-way quantum repeaters, by minimizing the short-term infrastructure cost as well as the long-term running cost of such quantum repeaters. We establish that AME states provide a framework for a class of QMDS codes that can be used in quantum repeaters.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 American Physical Society. This is an author produced version of a journal article published in Physical Review A: Atomic, Molecular and Optical Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | quant-ph |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Pollard Institute (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/M013472/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Jan 2021 12:58 |
Last Modified: | 22 Nov 2023 15:32 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevA.103.022402 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149674 |