Robust procedures for converting among Lindblad, Kraus and matrix representations of quantum dynamical semigroups
- 17 January 2003
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 44 (2), 534-557
- https://doi.org/10.1063/1.1518555
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.Comment: RevTeX4, 31 pages, no figures; v4 adds new introduction and a numerical example illustrating the application of these results to Quantum Process TomographKeywords
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