Robust procedures for converting among Lindblad, Kraus and matrix representations of quantum dynamical semigroups
By Timothy F. Havel. 2002
172 citations recorded by the source corpus.
Given a 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.
Subfields: Artificial Intelligence, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6fdd509610ead28cddeadb0f18c8ae89d1e5813f
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In Artificial Intelligence
In Statistical and Nonlinear Physics
Citations in the corpus
- Geometry of Quantum States: Index (2007, background): “For a different setting see Havel [412].”