Scientific article
English

Semi-device-independent certification of the number of measurements

Published inPhysical review, A, vol. 109, no. 6, 062203
Publication date2024
First online date2024-06-03
Abstract

We develop a method for semi-device-independent certification of the number of measurements. We achieve this by testing whether Bob's steering equivalent observables can be simulated by k measurements, which we do by testing whether they are k-compatible with separable joint observable. This test can be performed with the aid of hierarchy of semidefinite programs, and whenever it fails one can conclude that Alice must have access to at least (k+1)-incompatible measurements.

Keywords
  • Hierarchy
  • Information theory
  • Semiclassical
  • Quantum mechanics
  • Measurement methods
UNIGE research groups
Funding
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico
  • Deutsche Forschungsgemeinschaft [447948357]
  • Chinesisch-Deutsche Zentrum für Wissenschaftsförderung [M-0294]
  • European Research Council [683107/TempoQ]
  • Bundesministerium für Bildung und Forschung [16KIS1618K]
  • Alexander von Humboldt-Stiftung
  • Horizon 2020
  • HORIZON EUROPE Marie Sklodowska-Curie Actions [945478]
  • Agentúra na Podporu Výskumu a Vývoja [22-0570]
  • Vedecká Grantová Agentúra MŠVVaŠ SR a SAV [2/0183/21]
  • Swiss National Science Foundation - Quantum measurement resources: theory and applications [202179]
Citation (ISO format)
VEEREN, Isadora et al. Semi-device-independent certification of the number of measurements. In: Physical review, A, 2024, vol. 109, n° 6, p. 062203. doi: 10.1103/PhysRevA.109.062203
Main files (2)
Article (Published version)
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Identifiers
Additional URL for this publicationhttps://link.aps.org/doi/10.1103/PhysRevA.109.062203
Journal ISSN2469-9926
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451downloads

Technical informations

Creation25/11/2024 13:37:30
First validation27/11/2024 15:10:54
Update27/11/2024 15:10:54
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