Finding the Kraus decomposition from a master equation and vice versa

DOI10.1080/09500340701352581zbMath1139.81010arXiv0801.4100OpenAlexW3105191062WikidataQ59452907 ScholiaQ59452907MaRDI QIDQ3498539

Michael J. W. Hall, James D. Cresser, Erika Andersson

Publication date: 15 May 2008

Published in: Journal of Modern Optics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4100

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)

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Cites Work

• Unnamed Item
• Completely positive linear maps on complex matrices
• On the generators of quantum dynamical semigroups
• Virtues and limitations of Markovian master equations with a time-dependent generator
• Matrix Analysis
• On Quantum Theory of Transport Phenomena