Bounding the Set of Finite Dimensional Quantum Correlations

Miguel Navascués, T. Vértesi

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We describe a simple method to derive high performance semidefinite programing relaxations for optimizations over complex and real operator algebras in finite dimensional Hilbert spaces. The method is very flexible, easy to program, and allows the user to assess the behavior of finite dimensional quantum systems in a number of interesting setups. We use this method to bound the strength of quantum nonlocality in Bell scenarios where the dimension of the parties is bounded from above. We derive new results in quantum communication complexity and prove the soundness of the prepare-and-measure dimension witnesses introduced in Gallego et al., Phys. Rev. Lett. 105, 230501 (2010). Finally, we propose a new dimension witness that can distinguish between classical, real, and complex two-level systems.

Original languageEnglish
Article number020501
JournalPhysical Review Letters
Volume115
Issue number2
DOIs
Publication statusPublished - Jul 7 2015

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quantum communication
Hilbert space
bells
algebra
operators
optimization

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Bounding the Set of Finite Dimensional Quantum Correlations. / Navascués, Miguel; Vértesi, T.

In: Physical Review Letters, Vol. 115, No. 2, 020501, 07.07.2015.

Research output: Contribution to journalArticle

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