Research output: Contribution to journal › Article › peer-review

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

Research output: Contribution to journal › Article › peer-review

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. <http://arxiv.org/abs/0907.4097>

Brierley, S., Weigert, S., & Bengtsson, I. (2010). All Mutually Unbiased Bases in Dimensions Two to Five. *Quant. Inf. Comp.*, *10*(9&10), 0803-0820. http://arxiv.org/abs/0907.4097

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.

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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.",

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AU - Weigert, Stefan

AU - Bengtsson, Ingemar

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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.

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