Exploring boundaries of quantum convex structures: Special role of unitary processes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33154613" target="_blank" >RIV/61989592:15310/15:33154613 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14330/15:00081695
Result on the web
<a href="http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.012304#fulltext" target="_blank" >http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.012304#fulltext</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.92.012304" target="_blank" >10.1103/PhysRevA.92.012304</a>
Alternative languages
Result language
angličtina
Original language name
Exploring boundaries of quantum convex structures: Special role of unitary processes
Original language description
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 coincideswith 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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BH - Optics, masers and lasers
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review A
ISSN
1050-2947
e-ISSN
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Volume of the periodical
92
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
"012304-1"-"01234-7"
UT code for WoS article
000357260500003
EID of the result in the Scopus database
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