Exploring boundaries of quantum convex structures: special role
of unitary processes

J 2015

Exploring boundaries of quantum convex structures: special role of unitary processes

PUCHAŁA, Zbigniew, Anna JENCOVA, Michal SEDLÁK a Mário ZIMAN

Základní údaje

Originální název

Exploring boundaries of quantum convex structures: special role of unitary processes

Autoři

PUCHAŁA, Zbigniew (616 Polsko), Anna JENCOVA (703 Slovensko), Michal SEDLÁK (703 Slovensko) a Mário ZIMAN (703 Slovensko, garant, domácí)

Vydání

Phys. Rev. A, USA, The American Phys. Society, 2015, 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

Odkazy

URL

Impakt faktor

Impact factor: 2.808 v roce 2014

Kód RIV

RIV/00216224:14330/15:00081695

Organizační jednotka

Fakulta informatiky

DOI

http://dx.doi.org/10.1103/PhysRevA.92.012304

UT WoS

000357260500003

Klíčová slova anglicky

quantum structure - quantum measurement - quantum information

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 28. 4. 2016 15:36, RNDr. Pavel Šmerk, Ph.D.

Anotace

V originále

We address the question of finding the most unbalanced convex decompositions into boundary elements (so-called boundariness) for sets of quantum states, observables, and channels. We show that in general convex sets the boundariness essentially coincides with the question of the most distinguishable element, thus providing an operational meaning for this concept. Unexpectedly, we discovered that for any interior point of the set of channels the most unbalanced decomposition necessarily contains a unitary channel. In other words, for any given channel the most distinguishable one is some unitary channel. Further, we prove that boundariness is submultiplicative under the composition of systems and explicitly evaluate its maximal value that is attained only for the most mixed elements of the considered sets.

Návaznosti

GAP202/12/1142, projekt VaV

Název: Slabé zdroje entanglementu a náhodnosti

Investor: Grantová agentura ČR, Weak sources of entanglement and randomness

Citovat

PUCHAŁA, Zbigniew, Anna JENCOVA, Michal SEDLÁK a Mário ZIMAN. Exploring boundaries of quantum convex structures: special role of unitary processes. Phys. Rev. A. USA: The American Phys. Society, 2015, roč. 92, č. 1, s. 012304-12310. ISSN 1050-2947. Dostupné z: https://dx.doi.org/10.1103/PhysRevA.92.012304.

@article{1341773,
   author = {Puchała, Zbigniew and Jencova, Anna and Sedlák, Michal and Ziman, Mário},
   article_location = {USA},
   article_number = {1},
   doi = {http://dx.doi.org/10.1103/PhysRevA.92.012304},
   keywords = {quantum structure - quantum measurement - quantum information},
   language = {eng},
   issn = {1050-2947},
   journal = {Phys. Rev. A},
   title = {Exploring boundaries of quantum convex structures: special role of unitary processes},
   url = {http://dx.doi.org/10.1103/PhysRevA.92.012304},
   volume = {92},
   year = {2015}
}

TY  - JOUR
ID  - 1341773
AU  - Puchała, Zbigniew - Jencova, Anna - Sedlák, Michal - Ziman, Mário
PY  - 2015
TI  - Exploring boundaries of quantum convex structures: special role of unitary processes
JF  - Phys. Rev. A
VL  - 92
IS  - 1
SP  - 012304
EP  - 012304
PB  - The American Phys. Society
SN  - 10502947
KW  - quantum structure - quantum measurement - quantum information
UR  - http://dx.doi.org/10.1103/PhysRevA.92.012304
N2  - We address the question of finding the most unbalanced convex decompositions into boundary elements (so-called boundariness) for sets of quantum states, observables, and channels. We show that in general convex sets the boundariness essentially coincides with the question of the most distinguishable element, thus providing an operational meaning for this concept. Unexpectedly, we discovered that for any interior point of the set of channels the most unbalanced decomposition necessarily contains a unitary channel. In other words, for any given channel the most distinguishable one is some unitary channel. Further, we prove that boundariness is submultiplicative under the composition of systems and explicitly evaluate its maximal value that is attained only for the most mixed elements of the considered sets.
ER  -

PUCHAŁA, Zbigniew, Anna JENCOVA, Michal SEDLÁK a Mário ZIMAN. Exploring boundaries of quantum convex structures: special role of unitary processes. \textit{Phys. Rev. A}. USA: The American Phys. Society, 2015, roč.~92, č.~1, s.~012304-12310. ISSN~1050-2947. Dostupné z: https://dx.doi.org/10.1103/PhysRevA.92.012304.

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