TY - JOUR
T1 - Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality
AU - Chruściński, Dariusz
AU - Mukhamedov, Farrukh
N1 - Funding Information:
D.C. was supported by National Science Center Project No. 2018/30/A/ST2/00837. APPENDIX A:
Funding Information:
D.C. was supported by National Science Center Project No. 2018/30/A/ST2/00837.
Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/11/26
Y1 - 2019/11/26
N2 - 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.
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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U2 - 10.1103/PhysRevA.100.052120
DO - 10.1103/PhysRevA.100.052120
M3 - Article
AN - SCOPUS:85076350776
SN - 1050-2947
VL - 100
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 052120
ER -