Constructions of approximately mutually unbiased bases

Igor E. Shparlinski; Arne Winterhof

doi:10.1007/11682462_72

Constructions of approximately mutually unbiased bases

Igor E. Shparlinski^*, Arne Winterhof

^*Corresponding author for this work

School of Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

21 Citations (Scopus)

Abstract

We construct systems of bases of ℂⁿ which are mutually almost orthogonal and which might turn out to be useful for quantum computation. Our constructions are based on bounds of classical exponential sums and exponential sums over elliptic curves.

Original language	English
Title of host publication	LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings
Place of Publication	Berlin; Heidelberg
Publisher	Springer, Springer Nature
Pages	793-799
Number of pages	7
Volume	3887 LNCS
ISBN (Print)	354032755X, 9783540327554
DOIs	https://doi.org/10.1007/11682462_72
Publication status	Published - 2006
Event	LATIN 2006: Theoretical Informatics - 7th Latin American Symposium - Valdivia, Chile Duration: 20 Mar 2006 → 24 Mar 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3887 LNCS
ISSN (Print)	03029743
ISSN (Electronic)	16113349

Other

Other	LATIN 2006: Theoretical Informatics - 7th Latin American Symposium
Country/Territory	Chile
City	Valdivia
Period	20/03/06 → 24/03/06

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10.1007/11682462_72

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Shparlinski, I. E., & Winterhof, A. (2006). Constructions of approximately mutually unbiased bases. In LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings (Vol. 3887 LNCS, pp. 793-799). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3887 LNCS). Springer, Springer Nature. https://doi.org/10.1007/11682462_72

Shparlinski, Igor E. ; Winterhof, Arne. / Constructions of approximately mutually unbiased bases. LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings. Vol. 3887 LNCS Berlin; Heidelberg : Springer, Springer Nature, 2006. pp. 793-799 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Constructions of approximately mutually unbiased bases",

abstract = "We construct systems of bases of ℂn which are mutually almost orthogonal and which might turn out to be useful for quantum computation. Our constructions are based on bounds of classical exponential sums and exponential sums over elliptic curves.",

author = "Shparlinski, {Igor E.} and Arne Winterhof",

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doi = "10.1007/11682462_72",

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booktitle = "LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings",

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Shparlinski, IE & Winterhof, A 2006, Constructions of approximately mutually unbiased bases. in LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings. vol. 3887 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3887 LNCS, Springer, Springer Nature, Berlin; Heidelberg, pp. 793-799, LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Valdivia, Chile, 20/03/06. https://doi.org/10.1007/11682462_72

Constructions of approximately mutually unbiased bases. / Shparlinski, Igor E.; Winterhof, Arne.
LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings. Vol. 3887 LNCS Berlin; Heidelberg: Springer, Springer Nature, 2006. p. 793-799 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3887 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AU - Winterhof, Arne

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AB - We construct systems of bases of ℂn which are mutually almost orthogonal and which might turn out to be useful for quantum computation. Our constructions are based on bounds of classical exponential sums and exponential sums over elliptic curves.

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M3 - Conference proceeding contribution

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VL - 3887 LNCS

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Shparlinski IE, Winterhof A. Constructions of approximately mutually unbiased bases. In LATIN 2006: Theoretical Informatics - 7th Latin American Symposium, Proceedings. Vol. 3887 LNCS. Berlin; Heidelberg: Springer, Springer Nature. 2006. p. 793-799. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11682462_72

Constructions of approximately mutually unbiased bases

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