Least-bias state estimation with incomplete unbiased measurements
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33154871" target="_blank" >RIV/61989592:15310/15:33154871 - isvavai.cz</a>
Result on the web
<a href="http://journals.aps.org/pra/pdf/10.1103/PhysRevA.92.052303" target="_blank" >http://journals.aps.org/pra/pdf/10.1103/PhysRevA.92.052303</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.92.052303" target="_blank" >10.1103/PhysRevA.92.052303</a>
Alternative languages
Result language
angličtina
Original language name
Least-bias state estimation with incomplete unbiased measurements
Original language description
Measuring incomplete sets of mutually unbiased bases constitutes a sensible approach to the tomography of high-dimensional quantum systems. The unbiased nature of these bases optimizes the uncertainty hypervolume. However, imposing unbiasedness on the probabilities for the unmeasured bases does not generally yield the estimator with the largest von Neumann entropy, a popular figure of merit in this context. Furthermore, this imposition typically leads to mock density matrices that are not even positivedefinite. This provides a strong argument against perfunctory applications of linear estimation strategies. We propose to use instead the physical state estimators that maximize the Shannon entropy of the unmeasured outcomes, which quantifies our lack ofknowledge fittingly and gives physically meaningful statistical predictions.
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)<br>S - Specificky vyzkum na vysokych skolach
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
5
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
"052303-1"-"052303-13"
UT code for WoS article
000364011700004
EID of the result in the Scopus database
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