2002/01/31 by Timothy F. Havel · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #cond-mat #math-ph #math.MP
paper · pdf · doi:10.1063/1.1518555
published as J. Math. Phys. 44(#2, 2003), 534-557. · RevTeX4, 31 pages, no figures; v4 adds new introduction and a numerical example illustrating the application of these results to Quantum Process Tomography
arxiv created 2002/08/09 · arxiv updated 2015/06/26
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.