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

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

2002-01-28

arxiv.org/abs/quant-ph/0201127v4

J. Math. Phys. 44(#2, 2003), 534-557.

Physics

Quantum Physics

RevTeX4, 31 pages, no figures; v4 adds new introduction and a numerical example illustrating the application of these results

Scientific paper

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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