Matrices with normal defect one

zbMath1181.15045arXiv0903.0090MaRDI QIDQ3648381

Dmitry S. Kaliuzhnyi-Verbovetskyi, Ilya M. Spitkovskij, Hugo J. Woerdeman

Publication date: 25 November 2009

Full work available at URL: https://arxiv.org/abs/0903.0090

zbMATH Keywords

Hermitian matricesquantum computingcomplex symmetric matricesunitary extensionscomplex symmetric operatorssymmetric extensionsseparability problemnormal defectcommuting completionsminimal normal completionssymmetric/antisymmetric matrices

Mathematics Subject Classification ID

Quantum computation (81P68) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Dilations, extensions, compressions of linear operators (47A20) Matrix completion problems (15A83)

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