On the Monomiality of Nice Error Bases

DOI10.1109/TIT.2004.842573zbMath1297.94131arXivquant-ph/0301078MaRDI QIDQ3547164

Andreas Klappenecker, Martin Roetteler

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0301078

zbMATH Keywords

Latin squaresHadamard matricesPauli matrices, monomial representationsunitary error bases

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15) Other types of codes (94B60) Matrices of integers (15B36) Quantum coding (general) (81P70)

Related Items (8)

Nice error bases, mutually unbiased bases, induced representations, the Heisenberg group and finite geometries ⋮ The limitations of nice mutually unbiased bases ⋮ Properties of tight frames that are regular schemes ⋮ Nice error frames, canonical abstract error groups and the construction of SICs ⋮ Abstract error groups via Jones unitary braid group representations at q = i ⋮ Optimal quantum tomography with constrained measurements arising from unitary bases ⋮ On the counting of quantum errors ⋮ Tomography of Quantum States in Small Dimensions

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