Divisibility of qubit channels and dynamical maps

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F19%3A00107862" target="_blank" >RIV/00216224:14330/19:00107862 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.22331/q-2019-05-20-144" target="_blank" >http://dx.doi.org/10.22331/q-2019-05-20-144</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.22331/q-2019-05-20-144" target="_blank" >10.22331/q-2019-05-20-144</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Divisibility of qubit channels and dynamical maps

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Divisibility of qubit channels and dynamical maps

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA16-22211S" target="_blank" >GA16-22211S: Rényiho entropie v kvantovém zpracování informace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

QUANTUM

ISSN

2521-327X

e-ISSN

—

Svazek periodika

3

Číslo periodika v rámci svazku

n.a.

Stát vydavatele periodika

AT - Rakouská republika

Počet stran výsledku

14

Strana od-do

144

Kód UT WoS článku

000468479300003

EID výsledku v databázi Scopus

2-s2.0-85076342071