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

被引：12

作者：

Chruscinski, Dariusz ^{[1
]}

Mukhamedov, Farrukh ^{[2
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Phys Astron & Informat, Inst Phys, Grudziadzka 5-7, PL-87100 Torun, Poland

[2] United Arab Emirates Univ, Dept Math Sci, Coll Sci, Al Ain 155511, Abu Dhabii, U Arab Emirates

来源：

PHYSICAL REVIEW A | 2019年 / 100卷 / 05期

关键词：

D O I：

10.1103/PhysRevA.100.052120

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页数：7

共 21 条

[1]

Bhatia R., 2015, Princeton Series in Applied Mathematics

[2]

Breuer H.P., 2007, THEORY OPEN QUANTUM, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001

[3] Colloquium: Non-Markovian dynamics in open quantum systems [J].

Breuer, Heinz-Peter ;

Laine, Elsi-Mari ;

Piilo, Jyrki ;

Vacchini, Bassano .

REVIEWS OF MODERN PHYSICS, 2016, 88 (02)

[4] Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems [J].

Breuer, Heinz-Peter ;

Laine, Elsi-Mari ;

Piilo, Jyrki .

PHYSICAL REVIEW LETTERS, 2009, 103 (21)

[5] Information flow versus divisibility for qubit evolution [J].

Chakraborty, Sagnik ;

Chruscinski, Dariusz .

PHYSICAL REVIEW A, 2019, 99 (04)

[6] Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps [J].

Chruscinski, Dariusz ;

Rivas, Angel ;

Stormer, Erling .

PHYSICAL REVIEW LETTERS, 2018, 121 (08)

[7] Non-Markovian random unitary qubit dynamics [J].

Chruscinski, Dariusz ;

Wudarski, Filip A. .

PHYSICS LETTERS A, 2013, 377 (21-22) :1425-1429

[8] Divisibility of qubit channels and dynamical maps [J].

Davalos, David ;

Ziman, Mario ;

Pineda, Carlos .

QUANTUM, 2019, 3

[9] Dynamics of non-Markovian open quantum systems [J].

de Vega, Ines ;

Alonso, Daniel .

REVIEWS OF MODERN PHYSICS, 2017, 89 (01)

[10] COMPLETELY POSITIVE DYNAMICAL SEMIGROUPS OF N-LEVEL SYSTEMS [J].

GORINI, V ;

KOSSAKOWSKI, A ;

SUDARSHAN, ECG .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (05) :821-825

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