All Mutually Unbiased Bases in Dimensions Two to Five

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All Mutually Unbiased Bases in Dimensions Two to Five. / Brierley, Stephen; Weigert, Stefan; Bengtsson, Ingemar.

In: Quant. Inf. Comp., Vol. 10, No. 9&10, 01.09.2010, p. 0803-0820.

Research output: Contribution to journalArticle

Harvard

Brierley, S, Weigert, S & Bengtsson, I 2010, 'All Mutually Unbiased Bases in Dimensions Two to Five', Quant. Inf. Comp., vol. 10, no. 9&10, pp. 0803-0820.

APA

Brierley, S., Weigert, S., & Bengtsson, I. (2010). All Mutually Unbiased Bases in Dimensions Two to Five. Quant. Inf. Comp., 10(9&10), 0803-0820.

Vancouver

Brierley S, Weigert S, Bengtsson I. All Mutually Unbiased Bases in Dimensions Two to Five. Quant. Inf. Comp. 2010 Sep 1;10(9&10):0803-0820.

Author

Brierley, Stephen ; Weigert, Stefan ; Bengtsson, Ingemar. / All Mutually Unbiased Bases in Dimensions Two to Five. In: Quant. Inf. Comp. 2010 ; Vol. 10, No. 9&10. pp. 0803-0820.

Bibtex - Download

@article{7bb99f1e78fc4a7c92db090409296eaf,
title = "All Mutually Unbiased Bases in Dimensions Two to Five",
abstract = "All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.",
keywords = "Mathematical Physics",
author = "Stephen Brierley and Stefan Weigert and Ingemar Bengtsson",
year = "2010",
month = "9",
day = "1",
language = "English",
volume = "10",
pages = "0803--0820",
journal = "Quant. Inf. Comp.",
number = "9&10",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - All Mutually Unbiased Bases in Dimensions Two to Five

AU - Brierley, Stephen

AU - Weigert, Stefan

AU - Bengtsson, Ingemar

PY - 2010/9/1

Y1 - 2010/9/1

N2 - All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.

AB - All complex Hadamard matrices in dimensions two to five are known. We use this fact to derive all inequivalent sets of mutually unbiased (MU) bases in low dimensions. We find a three-parameter family of triples of MU bases in dimension four and two inequivalent classes of MU triples in dimension five. We confirm that the complete sets of (d+1) MU bases are unique (up to equivalence) in dimensions below six, using only elementary arguments for d less than five.

KW - Mathematical Physics

UR - http://www.scopus.com/inward/record.url?scp=78049429694&partnerID=8YFLogxK

M3 - Article

VL - 10

SP - 803

EP - 820

JO - Quant. Inf. Comp.

JF - Quant. Inf. Comp.

IS - 9&10

ER -