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Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups

Timothy F. Havel
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Abstract

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.

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Timothy F. Havel. 2002-08-09. Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups. https://doi.org/10.1063/1.1518555

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