Bipartite entanglement-annihilating maps: Necessary and
sufficient conditions

J 2013

Bipartite entanglement-annihilating maps: Necessary and sufficient conditions

FILIPPOV, Sergey a Mário ZIMAN

Základní údaje

Originální název

Bipartite entanglement-annihilating maps: Necessary and sufficient conditions

Autoři

FILIPPOV, Sergey (643 Rusko) a Mário ZIMAN (703 Slovensko, domácí)

Vydání

Physical Review, COLLEGE PK, AMER PHYSICAL SOC, 2013, 1050-2947

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10301 Atomic, molecular and chemical physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 2.991

Kód RIV

RIV/00216224:14330/13:00080248

Organizační jednotka

Fakulta informatiky

DOI

http://dx.doi.org/10.1103/PhysRevA.88.032316

UT WoS

000324393600006

Klíčová slova anglicky

entaglement; entanglement-annihilating channels

Změněno: 22. 5. 2015 06:09, RNDr. Pavel Šmerk, Ph.D.

Anotace

V originále

We fully characterize bipartite entanglement-annihilating (EA) channels that destroy entanglement of any state shared by subsystems and, thus, should be avoided in any entanglement-enabled experiment. Our approach relies on extending the problem to EA positive maps, the cone of which remains invariant under concatenation with partially positive maps. Due to this invariancy, positive EA maps adopt a well characterization and their intersection with completely positive trace-preserving maps results in the set of EA channels. In addition to a general description, we also provide sufficient operational criteria revealing EA channels. They have a clear physical meaning since the processes involved contain stages of classical information transfer for subsystems. We demonstrate the applicability of derived criteria for local and global depolarizing noises, and specify corresponding noise levels beyond which any initial state becomes disentangled after passing the channel. The robustness of some entangled states is discussed.

Citovat

FILIPPOV, Sergey a Mário ZIMAN. Bipartite entanglement-annihilating maps: Necessary and sufficient conditions. Physical Review. COLLEGE PK: AMER PHYSICAL SOC, 2013, roč. 88, č. 3, s. 1-7. ISSN 1050-2947. Dostupné z: https://dx.doi.org/10.1103/PhysRevA.88.032316.

@article{1299815,
   author = {Filippov, Sergey and Ziman, Mário},
   article_location = {COLLEGE PK},
   article_number = {3},
   doi = {http://dx.doi.org/10.1103/PhysRevA.88.032316},
   keywords = {entaglement; entanglement-annihilating channels},
   language = {eng},
   issn = {1050-2947},
   journal = {Physical Review},
   title = {Bipartite entanglement-annihilating maps: Necessary and sufficient conditions},
   volume = {88},
   year = {2013}
}

TY  - JOUR
ID  - 1299815
AU  - Filippov, Sergey - Ziman, Mário
PY  - 2013
TI  - Bipartite entanglement-annihilating maps: Necessary and sufficient conditions
JF  - Physical Review
VL  - 88
IS  - 3
SP  - 1-7
EP  - 1-7
PB  - AMER PHYSICAL SOC
SN  - 10502947
KW  - entaglement
KW  - entanglement-annihilating channels
N2  - We fully characterize bipartite entanglement-annihilating (EA) channels that destroy entanglement of any state shared by subsystems and, thus, should be avoided in any entanglement-enabled experiment. Our approach relies on extending the problem to EA positive maps, the cone of which remains invariant under concatenation with partially positive maps. Due to this invariancy, positive EA maps adopt a well characterization and their intersection with completely positive trace-preserving maps results in the set of EA channels. In addition to a general description, we also provide sufficient operational criteria revealing EA channels. They have a clear physical meaning since the processes involved contain stages of classical information transfer for subsystems. We demonstrate the applicability of derived criteria for local and global depolarizing noises, and specify corresponding noise levels beyond which any initial state becomes disentangled after passing the channel. The robustness of some entangled states is discussed.
ER  -

FILIPPOV, Sergey a Mário ZIMAN. Bipartite entanglement-annihilating maps: Necessary and sufficient conditions. \textit{Physical Review}. COLLEGE PK: AMER PHYSICAL SOC, 2013, roč.~88, č.~3, s.~1-7. ISSN~1050-2947. Dostupné z: https://dx.doi.org/10.1103/PhysRevA.88.032316.

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