Derivation of the Lindblad Generator Structure by use of the Itô Stochastic Calculus

Preprint

24 September 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/9909076

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.

Keywords

DENSITY MATRIX EVOLUTION
STOCHASTIC CALCULUS
COMPLETELY POSITIVE
GENERATOR STRUCTURE
LINDBLAD GENERATOR
MATRIX EVOLUTION

All Related Versions

Version 1, 1999-09-24, ArXiv
Published version: Physics Letters A, 265 (1-2), 58.

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