PIRSA:11050036

Non-contextual correlations in probabilistic models

Winter, A. (2011). Non-contextual correlations in probabilistic models. Perimeter Institute. https://pirsa.org/11050036

Winter, Andreas. Non-contextual correlations in probabilistic models. Perimeter Institute, May. 11, 2011, https://pirsa.org/11050036 

          @misc{ pirsa_PIRSA:11050036,
            doi = {10.48660/11050036},
            url = {https://pirsa.org/11050036},
            author = {Winter, Andreas},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Non-contextual correlations in probabilistic models},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {may},
            note = {PIRSA:11050036 see, \url{https://pirsa.org}}
          }

Andreas Winter University of Bristol

DOI 10.48660/11050036
Collection
Talk Type Conference
Subject

Abstract

Non-contextuality is presented as an abstraction and at the same time generalisation of locality. Rather than in correlations, the underlying physical model leaves its signature in collections of expectation values, which are contrained by inequalities much like Bell's or Tsirelson's inequalities. These non-contextual inequalities reveal a deep connection to classic topics in graph theory, such as independence numbers, Lovasz numbers and other graph parameters. By considering the special case of bi-local experiments, we arrive at a semidefinite relaxation (and indeed a whole hierarchy of such relaxations) for the problem of determining the maximum quantum violation of a given Bell inequality.