Parametrizing Quantum States and Channels

Authors:
T. Constantinescu;V. Ramakrishna
Affiliations:
Department of Mathematics, University of Texas at Dallas, Box 830688, Richardson, Texas 75083-0688;Department of Mathematics, University of Texas at Dallas, Box 830688, Richardson, Texas 75083-0688. E-mail: vish@utdallas.edu
Venue:
Quantum Information Processing
Year:
2003

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Abstract

This work describes one parametrization of quantum states and channels and several of its possible applications. This parametrization works in any dimension and there is an explicit algorithm which produces it. Included in the list of applications are a simple characterization of pure states, an explicit formula for one additive entropic quantity which does not require knowledge of eigenvalues, and an algorithm which finds one Kraus operator representation for a quantum operation without recourse to eigenvalue and eigenvector calculations.PACS: 03.67a, 03.67-Hk, 03.67-Lx