Certification of stellar ranks of quantum states of light with a pair of click detectors
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73632915" target="_blank" >RIV/61989592:15310/25:73632915 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/pdf/10.1103/hct3-6hgn" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/hct3-6hgn</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/hct3-6hgn" target="_blank" >10.1103/hct3-6hgn</a>
Alternative languages
Result language
angličtina
Original language name
Certification of stellar ranks of quantum states of light with a pair of click detectors
Original language description
Stellar rank of quantum state of light quantifies the amount of non-Gaussian resources required for its generation. One popular and practical approach to certification of stellar rank is based on measurement of click statistics with an array of binary detectors that can only distinguish the presence and absence of photons. Specifically, it was shown that measurements with an array of 𝑚+1 detectors allow one to certify stellar rank 𝑚 of approximate Fock state |𝑚⟩ , even when the state is subjected to losses or certain noise. Here we address the question as to how many click detectors are in principle required to certify stellar ranks higher than one. We show that two click detectors arranged in a Hanbury Brown-Twiss setup suffice. Interestingly, detection of stellar ranks higher than one is greatly facilitated by making the total detection efficiency of the detectors sufficiently low but well calibrated. Losses affect the response of the detection scheme in a way that can be exploited to certify stellar rank of higher Fock states. We explicitly construct the corresponding stellar rank witnesses and discuss dependence of the stellar rank thresholds on parameters of the considered setup. Our results reveal that it is possible to certify stellar ranks higher than 1 even with a minimalistic scheme that provides only very coarse-grained information about the photon number statistics of the characterized state.
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 A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
112
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"063712-1"-"063712-11"
UT code for WoS article
001641472900002
EID of the result in the Scopus database
2-s2.0-105027527598