Fundamental limits on determination of photon number statistics from measurements with multiplexed on/off detectors
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73631474" target="_blank" >RIV/61989592:15310/25:73631474 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prresearch/pdf/10.1103/49wr-wgf7" target="_blank" >https://journals.aps.org/prresearch/pdf/10.1103/49wr-wgf7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/49wr-wgf7" target="_blank" >10.1103/49wr-wgf7</a>
Alternative languages
Result language
angličtina
Original language name
Fundamental limits on determination of photon number statistics from measurements with multiplexed on/off detectors
Original language description
We investigate fundamental bounds on the ability to determine photon number distribution and other related quantities from tomographically incomplete measurements with an array of 𝑀 detectors that can only distinguish the absence or presence of photons. We show that the lower and upper bounds on photon number probabilities can be determined by solving a linear program. We present and discuss numerical results for various input states, including thermal states, coherent states, squeezed states, and highly nonclassical single-photon subtracted squeezed vacuum states. Besides photon number probabilities, we also investigate bounds on the parity of photon number distribution that determines the value of Wigner function of the state at the origin of phase space. Moreover, we also discuss estimation of mean photon number as an example of a quantity described by an unbounded operator. Our approach and results can provide quantitative guidance on the number of detection channels required to determine the photon number distribution with a given precision.
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/EH23_021%2F0008790" target="_blank" >EH23_021/0008790: Optical technologies</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
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 Research
ISSN
2643-1564
e-ISSN
2643-1564
Volume of the periodical
7
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"033147-1"-"033147-11"
UT code for WoS article
001553719100004
EID of the result in the Scopus database
2-s2.0-105025013985