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hyperlinear [2020/08/28 15:50] – created adminhyperlinear [2020/08/28 15:54] (current) admin
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 A positive resolution to Connes' embedding problem would've [[https://arxiv.org/pdf/1309.2034.pdf|implied]] that all countable discrete groups are hyperlinear. Since MIP*=RE gives a negative answer to CEP, this leaves open the possibility that there are non-hyperlinear groups.  A positive resolution to Connes' embedding problem would've [[https://arxiv.org/pdf/1309.2034.pdf|implied]] that all countable discrete groups are hyperlinear. Since MIP*=RE gives a negative answer to CEP, this leaves open the possibility that there are non-hyperlinear groups. 
  
-One approach to this is to create a *linear constraint system(LCS) game G whose commuting +One [[https://simons.berkeley.edu/sites/default/files/docs/15568/williamslofstraslides-quantumprotocols.pdf|approach]] to this is to create a linear constraint system (LCS) game $Gwhose commuting operator value $\omega^{co}(G)$ is different from its tensor product value $\omega^*(G)$.  
 + 
 +Thus, can the separating nonlocal game constructed in the MIP*=RE paper be formulated as a linear constraint system game?
hyperlinear.1598629856.txt.gz · Last modified: 2020/08/28 15:50 by admin

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