Characterization of quantum correlations with local dimension constraints and its device-independent applications

Miguel Navascués, Gonzalo de la Torre, T. Vértesi

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The future progress of semi-device-independent quantum information science depends crucially on our ability to bound the strength of the nonlocal correlations achievable with finite-dimensional quantum resources. In this work, we characterize quantum nonlocality under local dimension constraints via a complete hierarchy of semidefinite programming relaxations. In the bipartite case, we find that the first level of the hierarchy returns nontrivial bounds in all cases considered, allowing us to study nonlocality scenarios with four measurement settings on one side and twelve on the other in a normal desktop. In the tripartite case, we apply the hierarchy to derive a Bell-type inequality that can only be violated when each of the three parties has local dimension greater than 2, hence certifying three-dimensional tripartite entanglement in a device-independent way. Finally, we show how the new method can be trivially modified to detect nonseparable measurements in two-qubit scenarios.

Original languageEnglish
Article number011011
JournalPhysical Review X
Volume4
Issue number1
DOIs
Publication statusPublished - 2014

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Keywords

  • Quantum information
  • Quantum physics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Characterization of quantum correlations with local dimension constraints and its device-independent applications. / Navascués, Miguel; de la Torre, Gonzalo; Vértesi, T.

In: Physical Review X, Vol. 4, No. 1, 011011, 2014.

Research output: Contribution to journalArticle

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