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 and Mário ZIMAN

Basic information

Original name

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

Authors

PUCHAŁA, Zbigniew (616 Poland), Anna JENCOVA (703 Slovakia), Michal SEDLÁK (703 Slovakia) and Mário ZIMAN (703 Slovakia, guarantor, belonging to the institution)

Edition

Phys. Rev. A, USA, The American Phys. Society, 2015, 1050-2947

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10301 Atomic, molecular and chemical physics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 2.808 in 2014

RIV identification code

RIV/00216224:14330/15:00081695

Organization unit

Faculty of Informatics

DOI

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

UT WoS

000357260500003

Keywords in English

quantum structure - quantum measurement - quantum information

Abstract

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.

Links

GAP202/12/1142, research and development project

Name: Slabé zdroje entanglementu a náhodnosti

Investor: Czech Science Foundation

Citovat

PUCHAŁA, Zbigniew, Anna JENCOVA, Michal SEDLÁK and Mário ZIMAN. Exploring boundaries of quantum convex structures: special role of unitary processes. Phys. Rev. A. USA: The American Phys. Society, 2015, vol. 92, No 1, p. 012304-12310. ISSN 1050-2947. Available from: 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 and Mário ZIMAN. Exploring boundaries of quantum convex structures: special role of unitary processes. \textit{Phys. Rev. A}. USA: The American Phys. Society, 2015, vol.~92, No~1, p.~012304-12310. ISSN~1050-2947. Available from: https://dx.doi.org/10.1103/PhysRevA.92.012304.

Detailed Information on Publication Record