Adaptive compressive tomography: A numerical study
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73598309" target="_blank" >RIV/61989592:15310/19:73598309 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.100.012346" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.100.012346</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.100.012346" target="_blank" >10.1103/PhysRevA.100.012346</a>
Alternative languages
Result language
angličtina
Original language name
Adaptive compressive tomography: A numerical study
Original language description
We perform several numerical studies for our recently published adaptive compressive tomography scheme [D. Ahn et al., Phys. Rev. Lett. 122, 100404 (2019)], which significantly reduces the number of measurement settings to unambiguously reconstruct any rank-deficient state without any a priori knowledge besides its dimension. We show that both entangled and product bases chosen by our adaptive scheme perform comparably well with recently known compressed-sensing element-probing measurements, and also beat random measurement bases for low-rank quantum states. We also numerically conjecture asymptotic scaling behaviors for this number as a function of the state rank for our adaptive schemes. These scaling formulas appear to be independent of the Hilbert-space dimension. As a natural development, we establish a faster hybrid compressive scheme that first chooses random bases, and later adaptive bases as the scheme progresses. As an epilogue, we reiterate important elements of informational completeness for our adaptive scheme.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
<a href="/en/project/GA18-04291S" target="_blank" >GA18-04291S: Ultimate resolution limits in optical detection and metrology.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
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
2469-9926
e-ISSN
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Volume of the periodical
100
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"012346-1"-"1-012346-11"
UT code for WoS article
000477881400004
EID of the result in the Scopus database
2-s2.0-85069847078