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- W2005977405 abstract "In this paper we obtain a description of the Hermitian operators acting on the Hilbert space $C^n$, description which gives a complete solution to the over parameterization problem. More precisely we provide an explicit parameterization of arbitrary $n$-dimensional operators, operators that may be considered either as Hamiltonians, or density matrices for finite-level quantum systems. It is shown that the spectral multiplicities are encoded in a flag unitary matrix obtained as an ordered product of special unitary matrices, each one generated by a complex $n-k$-dimensional unit vector, $k=0,1,...,n-2$. As a byproduct, an alternative and simple parameterization of Stiefel and Grassmann manifolds is obtained." @default.
- W2005977405 created "2016-06-24" @default.
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- W2005977405 date "2005-03-10" @default.
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- W2005977405 title "Finite-level systems, Hermitian operators, isometries and a novel parametrization of Stiefel and Grassmann manifolds" @default.
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- W2005977405 doi "https://doi.org/10.1088/0305-4470/38/12/008" @default.
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