Conditions for strictly purity-decreasing quantum Markovian dynamics

Details Conditions for strictly purity-decreasing quantum Markovian dynamics Conditions for strictly purity-decreasing quantum Markovian dynamics

2004-11-16

arxiv.org/abs/quant-ph/0411119v2

Physics

Quantum Physics

4 pages, no figures. Contribution to the special issue "Real-time dynamics in complex quantum systems" of Chemical Physics in

Scientific paper

The purity, Tr(rho^2), measures how pure or mixed a quantum state rho is. It is well known that quantum dynamical semigroups that preserve the identity operator (which we refer to as unital) are strictly purity-decreasing transformations. Here we provide an almost complete characterization of the class of strictly purity-decreasing quantum dynamical semigroups. We show that in the case of finite-dimensional Hilbert spaces a dynamical semigroup is strictly purity-decreasing if and only if it is unital, while in the infinite dimensional case, unitality is only sufficient.

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