Bipartite Matrix-Valued Tensor Product Correlations That are Not Finitely Representable

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Abstract

We consider the matrix-valued generalizations of bipartite tensor product quantum correlations and bipartite infinite-dimensional tensor product quantum correlations, respectively. These sets are denoted by Cq(n)(m,k) and Cqs(n)(m,k), respectively, where m is the number of inputs, k is the number of outputs, and n is the matrix size. We show that, for any m, k≥ 2 with (m, k) ≠ (2 , 2) , there is an n≤ 4 for which we have the separation Cq(n)(m,k)≠Cqs(n)(m,k).

Original languageEnglish (US)
Pages (from-to)709-720
Number of pages12
JournalCommunications in Mathematical Physics
Volume382
Issue number2
DOIs
StatePublished - Mar 2021
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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