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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@article{1406677, author = {Filippov, Sergey N. and Piilo, Yirki and Maniscalco, Sabrina and Ziman, Mário}, article_number = {3}, doi = {http://dx.doi.org/10.1103/PhysRevA.96.032111}, keywords = {quantum dynamics - quantum simulation}, language = {eng}, issn = {2469-9926}, journal = {Physical Review A}, title = {Divisibility of quantum dynamical maps and collision models}, url = {https://doi.org/10.1103/PhysRevA.96.032111}, volume = {96}, year = {2017} }
TY - JOUR ID - 1406677 AU - Filippov, Sergey N. - Piilo, Yirki - Maniscalco, Sabrina - Ziman, Mário PY - 2017 TI - Divisibility of quantum dynamical maps and collision models JF - Physical Review A VL - 96 IS - 3 SP - "032111-1"-"032111-13" EP - "032111-1"-"032111-13" SN - 24699926 KW - quantum dynamics - quantum simulation UR - https://doi.org/10.1103/PhysRevA.96.032111 L2 - https://doi.org/10.1103/PhysRevA.96.032111 N2 - 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. ER -
FILIPPOV, Sergey N., Yirki PIILO, Sabrina MANISCALCO and Mário ZIMAN. Divisibility of quantum dynamical maps and collision models. \textit{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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