FILIPPOV, Sergey N., Yirki PIILO, Sabrina MANISCALCO and Mário ZIMAN. Divisibility of quantum dynamical maps and collision models. Physical Review A. 2017, vol. 96, No 3, p. "032111-1"-"032111-13", 13 pp. ISSN 2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.96.032111.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10303 Particles and field physics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 2.909
RIV identification code RIV/00216224:14330/17:00095466
Organization unit Faculty of Informatics
Doi http://dx.doi.org/10.1103/PhysRevA.96.032111
UT WoS 000410860100002
Keywords (in Czech) kvantová dynamika - kvantové simulace
Keywords in English quantum dynamics - quantum simulation
Tags open system, quantum dynamics, quantum information, Quantum theory
Tags International impact, Reviewed
Changed by Changed by: RNDr. Pavel Šmerk, Ph.D., učo 3880. Changed: 14/6/2022 11:51.
Abstract
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.
Abstract (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 projectName: Rényiho entropie v kvantovém zpracování informace
Investor: Czech Science Foundation
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