Detailed Information on Publication Record

@article{38944,
   author = {Davalos, David and Ziman, Mário and Pineda, Carlos},
   article_location = {WIEN},
   article_number = {n.a.},
   keywords = {quantum channels; open system dynamics},
   language = {eng},
   issn = {2521-327X},
   journal = {QUANTUM},
   title = {Divisibility of qubit channels and dynamical maps},
   url = {http://dx.doi.org/10.22331/q-2019-05-20-144},
   volume = {3},
   year = {2019}
}

TY  - JOUR
ID  - 38944
AU  - Davalos, David - Ziman, Mário - Pineda, Carlos
PY  - 2019
TI  - Divisibility of qubit channels and dynamical maps
JF  - QUANTUM
VL  - 3
IS  - n.a.
SP  - 144
EP  - 144
PB  - VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
SN  - 2521-327X
KW  - quantum channels
KW  - open system dynamics
UR  - http://dx.doi.org/10.22331/q-2019-05-20-144
N2  - The concept of divisibility of dynamical maps is used to introduce an analogous concept for quantum channels by analyzing the simulability of channels by means of dynamical maps. In particular, this is addressed for Lindblad divisible, completely positive divisible and positive divisible dynamical maps. The corresponding L-divisible, CP-divisible and P-divisible subsets of channels are characterized (exploiting the results by Wolf et al. [25]) and visualized for the case of qubit channels. We discuss the general inclusions among divisibility sets and show several equivalences for qubit channels. To this end we study the conditions of L-divisibility for finite dimensional channels, especially the cases with negative eigen-values, extending and completing the results of Ref. [26]. Furthermore we show that transitions between every two of the defined divisibility sets are allowed. We explore particular examples of dynamical maps to compare these concepts. Finally, we show that every divisible but not infinitesimal divisible qubit channel (in positive maps) is entanglement-breaking, and open the question if something similar occurs for higher dimensions.
ER  - 

DAVALOS, David, Mário ZIMAN and Carlos PINEDA. Divisibility of qubit channels and dynamical maps. \textit{QUANTUM}. WIEN: VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF, 2019, vol.~3, n.a., p.~144-157. ISSN~2521-327X.