Constructing Mutually Unbiased Bases from Quantum Latin Squares

Constructing Mutually Unbiased Bases from Quantum Latin Squares

We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and show how a pair of mutually unbiased maximally entangled bases...

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Bibliographic Details
Main Author: Benjamin Musto
Format: Article
Language:English
Published: Open Publishing Association 2017-01-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1605.08919v2
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spelling doaj-220c57deb8754eac862366b96cc791142020-11-25T01:42:53ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802017-01-01236Proc. QPL 201610812610.4204/EPTCS.236.8:31Constructing Mutually Unbiased Bases from Quantum Latin SquaresBenjamin Musto0 University of Oxford We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and show how a pair of mutually unbiased maximally entangled bases can be constructed in square dimension from orthogonal quantum Latin squares. We also compare our construction to an existing construction due to Beth and Wocjan and show that ours is strictly more general.http://arxiv.org/pdf/1605.08919v2
collection DOAJ
language English
format Article
sources DOAJ
author Benjamin Musto
spellingShingle Benjamin Musto
Constructing Mutually Unbiased Bases from Quantum Latin Squares
Electronic Proceedings in Theoretical Computer Science
author_facet Benjamin Musto
author_sort Benjamin Musto
title Constructing Mutually Unbiased Bases from Quantum Latin Squares
title_short Constructing Mutually Unbiased Bases from Quantum Latin Squares
title_full Constructing Mutually Unbiased Bases from Quantum Latin Squares
title_fullStr Constructing Mutually Unbiased Bases from Quantum Latin Squares
title_full_unstemmed Constructing Mutually Unbiased Bases from Quantum Latin Squares
title_sort constructing mutually unbiased bases from quantum latin squares
publisher Open Publishing Association
series Electronic Proceedings in Theoretical Computer Science
issn 2075-2180
publishDate 2017-01-01
description We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and show how a pair of mutually unbiased maximally entangled bases can be constructed in square dimension from orthogonal quantum Latin squares. We also compare our construction to an existing construction due to Beth and Wocjan and show that ours is strictly more general.
url http://arxiv.org/pdf/1605.08919v2
work_keys_str_mv AT benjaminmusto constructingmutuallyunbiasedbasesfromquantumlatinsquares
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