%0 Journal Article
%T Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
%A Timothy F. Havel
%J Physics
%D 2002
%I arXiv
%R 10.1063/1.1518555
%X Given an quantum dynamical semigroup expressed as an exponential superoperator acting on a space of N-dimensional density operators, eigenvalue methods are presented by which canonical Kraus and Lindblad operator sum representations can be computed. These methods provide a mathematical basis on which to develop novel algorithms for quantum process tomography, the statistical estimation of superoperators and their generators, from a wide variety of experimental data. Theoretical arguments and numerical simulations are presented which imply that these algorithms will be quite robust in the presence of random errors in the data.
%U http://arxiv.org/abs/quant-ph/0201127v4