Distance to boundary and minimum-error discrimination
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33150302" target="_blank" >RIV/61989592:15310/14:33150302 - isvavai.cz</a>
Alternative codes found
RIV/00216224:14330/14:00073909
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevA.89.062303" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.89.062303</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.89.062303" target="_blank" >10.1103/PhysRevA.89.062303</a>
Alternative languages
Result language
angličtina
Original language name
Distance to boundary and minimum-error discrimination
Original language description
We introduce the concept of boundariness capturing the most efficient way of expressing a given element of a convex set as a probability mixture of its boundary elements. In other words, this number measures (without the need of any explicit topology) how far the given element is from the boundary. It is shown that one of the elements from the boundary can be always chosen to be an extremal element. We focus on evaluation of this quantity for quantum sets of states, channels, and observables. We show that boundariness is intimately related to (semi) norms that provide an operational interpretation of this quantity. In particular, the minimum error probability for discrimination of a pair of quantum devices is lower bounded by the boundariness of each of them. We proved that for states and observables this bound is saturated and conjectured this feature for channels. The boundariness is zero for infinite-dimensional quantum objects as in this case all the elements are boundary elements.
Czech name
—
Czech description
—
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
—
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
2014
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
—
Volume of the periodical
89
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
"062303-1"-"062303-12"
UT code for WoS article
000336906100006
EID of the result in the Scopus database
—