Defect of a Kronecker product of unitary matrices

DOI10.1016/j.laa.2011.09.005zbMath1387.15032arXiv1009.4037OpenAlexW1971269674MaRDI QIDQ2427894

Wojciech Tadej

Publication date: 19 April 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4037

zbMATH Keywords

Kronecker producttensor productdoubly stochastic matrixunitary matrixcomplex Hadamard matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal matrices (15B10) Orthogonal and unitary groups in metric geometry (51F25)

Related Items (2)

The defect of generalized Fourier matrices ⋮ First order deformations of the Fourier matrix

Cites Work

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• Three-parameter complex Hadamard matrices of order 6
• Defect of a unitary matrix
• Orthogonal maximal Abelian \(*\)-subalgebras of the \(6\times 6\) matrices
• Two-parameter complex Hadamard matrices for N=6
• Some results on the parametrization of complex Hadamard matrices
• A Concise Guide to Complex Hadamard Matrices
• Towards a Classification of 6 × 6 Complex Hadamard Matrices
• A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids
• A mapping from the unitary to doubly stochastic matrices and symbols on a finite set
• Unbiased bases (Hadamards) for six-level systems: Four ways from Fourier

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