Certification of qubits in the prepare-and-measure scenario with large input alphabet and connections with the Grothendieck constant.
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
14 Aug 2023
14 Aug 2023
Historique:
received:
06
11
2022
accepted:
26
07
2023
medline:
15
8
2023
pubmed:
15
8
2023
entrez:
14
8
2023
Statut:
epublish
Résumé
We address the problem of testing the quantumness of two-dimensional systems in the prepare-and-measure (PM) scenario, using a large number of preparations and a large number of measurement settings, with binary outcome measurements. In this scenario, we introduce constants, which we relate to the Grothendieck constant of order 3. We associate them with the white noise resistance of the prepared qubits and to the critical detection efficiency of the measurements performed. Large-scale numerical tools are used to bound the constants. This allows us to obtain new bounds on the minimum detection efficiency that a setup with 70 preparations and 70 measurement settings can tolerate.
Identifiants
pubmed: 37580385
doi: 10.1038/s41598-023-39529-0
pii: 10.1038/s41598-023-39529-0
pmc: PMC10425422
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
13200Subventions
Organisme : QuantERA
ID : 2019-2.1.7-ERA-NET-2020-00003
Informations de copyright
© 2023. Springer Nature Limited.
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