Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Dariusz Chruściński; Farrukh Mukhamedov

doi:10.1103/PhysRevA.100.052120

Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Dariusz Chruściński
, Farrukh Mukhamedov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We introduce the concept of Kadison-Schwarz-divisible dynamical maps. It turns out that it is a natural generalization of the well-known CP-divisibility which characterizes quantum Markovian evolution. It is proved that Kadison-Schwarz-divisible maps are fully characterized in terms of time-local dissipative generators. Simple qubit evolution illustrates the concept.

Original language	English
Article number	052120
Journal	Physical Review A
Volume	100
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.100.052120
Publication status	Published - Nov 26 2019

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.100.052120

Cite this

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title = "Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality",

abstract = "We introduce the concept of Kadison-Schwarz-divisible dynamical maps. It turns out that it is a natural generalization of the well-known CP-divisibility which characterizes quantum Markovian evolution. It is proved that Kadison-Schwarz-divisible maps are fully characterized in terms of time-local dissipative generators. Simple qubit evolution illustrates the concept.",

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AB - We introduce the concept of Kadison-Schwarz-divisible dynamical maps. It turns out that it is a natural generalization of the well-known CP-divisibility which characterizes quantum Markovian evolution. It is proved that Kadison-Schwarz-divisible maps are fully characterized in terms of time-local dissipative generators. Simple qubit evolution illustrates the concept.

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Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Abstract

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