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dc.contributor.authorNavascués, M.en_US
dc.contributor.authorVértesi, T.en_US
dc.date.accessioned2016-02-08T09:47:24Z
dc.date.available2016-02-08T09:47:24Z
dc.date.issued2015en_US
dc.identifier.issn0031-9007
dc.identifier.urihttp://hdl.handle.net/11693/21514
dc.description.abstractWe 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. © 2015 American Physical Society. © 2015 American Physical Society.en_US
dc.language.isoEnglishen_US
dc.source.titlePhysical Review Lettersen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevLett.115.020501en_US
dc.subjectQuantum communicationen_US
dc.subjectQuantum opticsen_US
dc.subjectFinite dimensionalen_US
dc.subjectFinite-dimensional quantum systemsen_US
dc.subjectOperator algebrasen_US
dc.subjectQuantum communication complexityen_US
dc.subjectQuantum correlationsen_US
dc.subjectQuantum nonlocalityen_US
dc.subjectSemidefinite programingen_US
dc.subjectTwo-level systemen_US
dc.subjectQuantum theoryen_US
dc.titleBounding the Set of Finite Dimensional Quantum Correlationsen_US
dc.typeArticleen_US
dc.departmentDepartment of Physicsen_US
dc.citation.volumeNumber115en_US
dc.citation.issueNumber2en_US
dc.identifier.doi10.1103/PhysRevLett.115.020501en_US
dc.publisherAmerican Physical Societyen_US


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