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Reference: Vicary, J and Musto, B, (2016). Quantum Latin squares and unitary error bases.Citable link to this page:

 

Quantum Latin squares and unitary error bases

Abstract: In this paper we introduce quantum Latin squares, combinatorial quantum objects which generalize classical Latin squares, and investigate their applications in quantum computer science. Our main results are on applications to unitary error bases UEBs), basic structures in quantum information which lie at the heart of procedures such as teleportation, dense coding and error correction. We present a new method for constructing a UEB from a quantum Latin square equipped with extra data. Developing construction techniques for UEBs has been a major activity in quantum computation, with three primary methods proposed: shift-and-multiply, Hadamard, and algebraic. We show that our new approach simultaneouslygeneralizes the shift-and-multiply and Hadamard methods. Furthermore, we explicitly construct a UEB using our technique which we prove cannot be obtained from any of these existing methods.

Peer Review status:Peer reviewedPublication status:Not publishedVersion:Accepted ManuscriptConference Details: 19th Conference on Quantum Information Processing. January 10-15, 2016 at the Banff Centre, Alberta

Bibliographic Details

Host: 19th Conference on Quantum Information Processing. January 10-15, 2016 at the Banff Centre, Albertasee more from them

Publication Website: http://ucalgary.ca/qip2016/

Issue Date: 2016Identifiers

Urn: uuid:f7f34679-cc83-4a08-ba71-56c402f37bd4

Source identifier: 579595 Item Description

Type: Conference;

Version: Accepted Manuscript Tiny URL: pubs:579595

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Author: Vicary, J - institutionUniversity of Oxford Oxford, MPLS, Computer Science - - - Musto, B - institutionUniversity of Oxford Oxfor

Source: https://ora.ox.ac.uk/objects/uuid:f7f34679-cc83-4a08-ba71-56c402f37bd4



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