Derivation of the Lindblad Generator Structure by use of the It\^o Stochastic Calculus
Quantum Physics
2009-10-31 v1
Abstract
We use the It\^o 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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Cite
@article{arxiv.quant-ph/9909076,
title = {Derivation of the Lindblad Generator Structure by use of the It\^o Stochastic Calculus},
author = {Stephen L. Adler},
journal= {arXiv preprint arXiv:quant-ph/9909076},
year = {2009}
}
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