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Discrete phase-space structures and mutually unbiased bases
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.ORCID iD: 0000-0002-2082-9583
2007 (English)In: Arithmetic of Finite Fields, Proceedings, Springer Berlin/Heidelberg, 2007, 333-345 p.Conference paper, Published paper (Refereed)
Abstract [en]

We propose a unifying phase-space approach to the construction of mutually unbiased bases for an n-qubit system. It is based on an explicit classification of the geometrical structures compatible with the notion of unbiasedness. These consist of bundles of discrete curves intersecting only at the origin and satisfying certain additional conditions. The effect of local transformations is also studied.

Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2007. 333-345 p.
Series
Lecture Notes in Computer Science, ISSN 0302-9743 ; 4547
Keyword [en]
Abelian curves, Galois fields, Mutually unbiased bases, Quantum state estimation
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-155247ISI: 000247854300026Scopus ID: 2-s2.0-38149109920ISBN: 978-354073073-6 (print)OAI: oai:DiVA.org:kth-155247DiVA: diva2:761243
Conference
1st International Workshop on Arithmetic of Finite Fields, WAIFI 2007; Madrid; Spain; 21 June 2007 through 22 June 2007
Note

QC 20141106

Available from: 2014-11-06 Created: 2014-11-04 Last updated: 2014-11-06Bibliographically approved

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Björk, Gunnar

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