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Träfflista för sökning "WFRF:(Cabello Adan) ;pers:(Budroni Costantino)"

Sökning: WFRF:(Cabello Adan) > Budroni Costantino

  • Resultat 1-4 av 4
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1.
  • Budroni, Costantino, et al. (författare)
  • Bell inequalities from variable-elimination methods
  • 2012
  • Ingår i: Journal of Physics A. - : IOP Publishing. - 1751-8113 .- 1751-8121. ; 45:38, s. 385304-
  • Tidskriftsartikel (refereegranskat)abstract
    • Tight Bell inequalities are facets of Pitowsky's correlation polytope and are usually obtained from its extreme points by solving the hull problem. Here, we present an alternative method based on a combination of algebraic results on extensions of measures and variable-elimination methods, e. g., the Fourier-Motzkin method. Our method is shown to overcome some of the computational difficulties associated with the hull problem in some non-trivial cases. Moreover, it provides an explanation for the arising of only a finite number of families of Bell inequalities in measurement scenarios where one experimenter can choose between an arbitrary number of different measurements.
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2.
  • Budroni, Costantino, et al. (författare)
  • Kochen-Specker contextuality
  • 2022
  • Ingår i: Reviews of Modern Physics. - : AMER PHYSICAL SOC. - 0034-6861 .- 1539-0756. ; 94:4
  • Forskningsöversikt (refereegranskat)abstract
    • A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In short, it states that quantum mechanics is in conflict with classical models in which the result of a measurement does not depend on which other compatible measurements are jointly performed. Here compatible measurements are those that can be implemented simultaneously or, more generally, those that are jointly measurable. This conflict is generically called quantum contextuality. In this review, an introduction to this subject and its current status is presented. Several proofs of the Kochen-Specker theorem and different notions of contextuality are reviewed. How to experimentally test some of these notions is explained, and connections between contextuality and nonlocality or graph theory are discussed. Finally, some applications of contextuality in quantum information processing are reviewed.
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3.
  • Guehne, Otfried, et al. (författare)
  • Bounding the quantum dimension with contextuality
  • 2014
  • Ingår i: Physical Review A. Atomic, Molecular, and Optical Physics. - : American Physical Society. - 1050-2947 .- 1094-1622. ; 89:6
  • Tidskriftsartikel (refereegranskat)abstract
    • We show that the phenomenon of quantum contextuality can be used to certify lower bounds on the dimension accessed by the measurement devices. To prove this, we derive bounds for different dimensions and scenarios of the simplest noncontextuality inequalities. Some of the resulting dimension witnesses work independently of the prepared quantum state. Our constructions are robust against noise and imperfections, and we show that a recent experiment can be viewed as an implementation of a state-independent quantum dimension witness.
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4.
  • Kleinmann, Matthias, et al. (författare)
  • Optimal Inequalities for State-Independent Contextuality
  • 2012
  • Ingår i: Physical Review Letters. - : American Physical Society. - 0031-9007 .- 1079-7114. ; 109:25, s. 250402-
  • Tidskriftsartikel (refereegranskat)abstract
    • Contextuality is a natural generalization of nonlocality which does not need composite systems or spacelike separation and offers a wider spectrum of interesting phenomena. Most notably, in quantum mechanics there exist scenarios where the contextual behavior is independent of the quantum state. We show that the quest for an optimal inequality separating quantum from classical noncontextual correlations in a state-independent manner admits an exact solution, as it can be formulated as a linear program. We introduce the noncontextuality polytope as a generalization of the locality polytope and apply our method to identify two different tight optimal inequalities for the most fundamental quantum scenario with state-independent contextuality.
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  • Resultat 1-4 av 4
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refereegranskat (4)
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Cabello, Adan (4)
Larsson, Jan-Åke (3)
Guehne, Otfried (3)
Kleinmann, Matthias (3)
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Stockholms universitet (1)
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