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Derivation of the Lindblad generator structure by use of the Itô stochastic calculus

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
265
Identifiers
DOI: 10.1016/s0375-9601(99)00847-6
Disciplines
  • Mathematics

Abstract

Abstract We use the Itô stochastic calculus to give a simple derivation of the Lindblad form for the generator of a completely positive density matrix evolution, by specialization from the corresponding global form for a completely positive map. As a by-product, we obtain a generalized generator for a completely positive stochastic density matrix evolution.

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