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Characterising the set of deterministic quantum correlations in prepare-and-measure scenarios

D' Alessandro, Nicola LU orcid ; Karlsson, Oliver and Roch I Carceller, Carles LU orcid (2010)
Abstract
Correlations that do not admit a deterministic explanation are a central feature of quantum theory and a key resource for quantum information processing. Identifying and certifying such correlations, however, remains a fundamental challenge. In this work, we advance on this problem by considering deterministic correlations in the prepare-and-measure scenario consistent with a wide range of communication restrictions. To certify correlations incompatible with such deterministic models, we ask whether they admit a scenario in which measurement outcomes can be perfectly predicted by an adversary equipped with classical side-information. We show the usefulness of this approach and propose semidefinite programming relaxations tailored to three... (More)
Correlations that do not admit a deterministic explanation are a central feature of quantum theory and a key resource for quantum information processing. Identifying and certifying such correlations, however, remains a fundamental challenge. In this work, we advance on this problem by considering deterministic correlations in the prepare-and-measure scenario consistent with a wide range of communication restrictions. To certify correlations incompatible with such deterministic models, we ask whether they admit a scenario in which measurement outcomes can be perfectly predicted by an adversary equipped with classical side-information. We show the usefulness of this approach and propose semidefinite programming relaxations tailored to three representative communication restrictions: fixed ensemble, bounded overlaps and restricted observables. (Less)
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author
; and
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publishing date
type
Working paper/Preprint
publication status
published
subject
publisher
arXiv.org
DOI
10.48550/arXiv.2608.09667
language
English
LU publication?
yes
id
7adb1fa3-94a4-4287-8e51-a88d7d3b213f
date added to LUP
2026-09-10 14:27:16
date last changed
2026-09-14 14:00:33
@misc{7adb1fa3-94a4-4287-8e51-a88d7d3b213f,
  abstract     = {{Correlations that do not admit a deterministic explanation are a central feature of quantum theory and a key resource for quantum information processing. Identifying and certifying such correlations, however, remains a fundamental challenge. In this work, we advance on this problem by considering deterministic correlations in the prepare-and-measure scenario consistent with a wide range of communication restrictions. To certify correlations incompatible with such deterministic models, we ask whether they admit a scenario in which measurement outcomes can be perfectly predicted by an adversary equipped with classical side-information. We show the usefulness of this approach and propose semidefinite programming relaxations tailored to three representative communication restrictions: fixed ensemble, bounded overlaps and restricted observables.}},
  author       = {{D' Alessandro, Nicola and Karlsson, Oliver and Roch I Carceller, Carles}},
  language     = {{eng}},
  month        = {{08}},
  note         = {{Preprint}},
  publisher    = {{arXiv.org}},
  title        = {{Characterising the set of deterministic quantum correlations in prepare-and-measure scenarios}},
  url          = {{http://dx.doi.org/10.48550/arXiv.2608.09667}},
  doi          = {{10.48550/arXiv.2608.09667}},
  year         = {{2010}},
}