J 2017

Divisibility of quantum dynamical maps and collision models

FILIPPOV, Sergey N., Yirki PIILO, Sabrina MANISCALCO and Mário ZIMAN

Basic information

Original name

Divisibility of quantum dynamical maps and collision models

Name in Czech

Faktorizace kvantových dynamických map a kolizní modely

Authors

FILIPPOV, Sergey N. (643 Russian Federation), Yirki PIILO (246 Finland), Sabrina MANISCALCO (380 Italy) and Mário ZIMAN (703 Slovakia, belonging to the institution)

Edition

Physical Review A, 2017, 2469-9926

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 2.909

RIV identification code

RIV/00216224:14330/17:00095466

Organization unit

Faculty of Informatics

UT WoS

000410860100002

Keywords (in Czech)

kvantová dynamika - kvantové simulace

Keywords in English

quantum dynamics - quantum simulation

Tags

International impact, Reviewed
Změněno: 14/6/2022 11:51, RNDr. Pavel Šmerk, Ph.D.

Abstract

V originále

The divisibility of dynamical maps is visualized by trajectories in the parameter space and analyzed within the framework of collision models. We introduce ultimate completely positive (CP) divisible processes, which lose CP divisibility under infinitesimal perturbations, and characterize Pauli dynamical semigroups exhibiting such a property. We construct collision models with factorized environment particles, which realize additivity and multiplicativity of generators of CP divisible maps. A mixture of dynamical maps is obtained with the help of correlated environment. The mixture of ultimate CP divisible processes is shown to result in a class of eternal CP indivisible evolutions. We explicitly find collision models leading to weakly and essentially non-Markovian Pauli dynamical maps.

In Czech

The divisibility of dynamical maps is visualized by trajectories in the parameter space and analyzed within the framework of collision models. We introduce ultimate completely positive (CP) divisible processes, which lose CP divisibility under infinitesimal perturbations, and characterize Pauli dynamical semigroups exhibiting such a property. We construct collision models with factorized environment particles, which realize additivity and multiplicativity of generators of CP divisible maps. A mixture of dynamical maps is obtained with the help of correlated environment. The mixture of ultimate CP divisible processes is shown to result in a class of eternal CP indivisible evolutions. We explicitly find collision models leading to weakly and essentially non-Markovian Pauli dynamical maps.

Links

GA16-22211S, research and development project
Name: Rényiho entropie v kvantovém zpracování informace
Investor: Czech Science Foundation