dorsal/arxiv
View SchemaProcedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups
| Authors | Timothy F. Havel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201127 |
| URL | https://arxiv.org/abs/quant-ph/0201127 |
| DOI | 10.1063/1.1518555 |
| Journal | J. Math. Phys. 44(#2, 2003), 534-557. |
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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"abstract": "Given an quantum dynamical semigroup expressed as an exponential\nsuperoperator acting on a space of N-dimensional density operators, eigenvalue\nmethods are presented by which canonical Kraus and Lindblad operator sum\nrepresentations can be computed. These methods provide a mathematical basis on\nwhich to develop novel algorithms for quantum process tomography, the\nstatistical estimation of superoperators and their generators, from a wide\nvariety of experimental data. Theoretical arguments and numerical simulations\nare presented which imply that these algorithms will be quite robust in the\npresence of random errors in the data.",
"arxiv_id": "quant-ph/0201127",
"authors": [
"Timothy F. Havel"
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],
"doi": "10.1063/1.1518555",
"journal_ref": "J. Math. Phys. 44(#2, 2003), 534-557.",
"title": "Procedures for Converting among Lindblad, Kraus and Matrix Representations of Quantum Dynamical Semigroups",
"url": "https://arxiv.org/abs/quant-ph/0201127"
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