JARLSKOG'S PARAMETRIZATION OF UNITARY MATRICES AND QUDIT THEORY

DOI10.1142/S0219887806001144zbMath1093.68040arXivquant-ph/0508006OpenAlexW2963015858MaRDI QIDQ5291314

Kunio Funahashi, Takayuki Kobayashi, Kazuyuki Fujii

Publication date: 10 May 2006

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0508006

zbMATH Keywords

quantum computationquditEuler angleWalsh-Hadamard matrixcanonical coordinate of the second kind

Mathematics Subject Classification ID

Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Quantum computation (81P68)

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A composite parameterization of unitary groups, density matrices and subspaces, Parametrizations of density matrices, FLOW REPRESENTATION OF THE BOSE–HUBBARD HAMILTONIAN: GENERAL CASE, A NEW ALGEBRAIC STRUCTURE OF FINITE QUANTUM SYSTEMS AND THE MODIFIED BESSEL FUNCTIONS, Temperley-Lieb \(R\)-matrices from generalized Hadamard matrices, Parametrizing Density Matrices for Composite Quantum Systems, Dynamics of an \(N\) level system of atoms interacting with laser fields, Some formulas for invariant phases of unitary matrices by Jarlskog, A GEOMETRIC PARAMETRIZATION OF THE CABIBBO–KOBAYASHI–MASKAWA MATRIX AND THE JARLSKOG INVARIANT, The canonical coset decomposition of unitary matrices through Householder transformations

Cites Work

• Introduction to Grassmann manifolds and quantum computation
• A recursive parametrization of unitary matrices
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Factorization of unitary matrices