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SUMMARY:The structure of noncontextuality\, in particular for the stabiliz
 er subtheory - Matthew Pusey\, University of York
DTSTART:20220428T131500Z
DTEND:20220428T141500Z
UID:TALK170798@talks.cam.ac.uk
CONTACT:Damian Pitalua-Garcia
DESCRIPTION:I will give an overview of two recent papers on the generalise
 d notion of noncontextuality due to Spekkens. In the first [1] we show tha
 t taking into account transformations imposes a surprisingly rigid structu
 re on noncontextual models of tomographically local theories (such as quan
 tum theory). An example of this rigidity is that the number of ontic state
 s in the noncontextual model must equal the dimension of the operational s
 tate space. In the second paper [2] we exploit this structure to classify 
 the noncontextual models of the stabilizer subtheories\, finding that ther
 e is a unique noncontextual model in odd dimension\, and no model at all i
 n even dimension. The unique model in odd dimensions is known as Gross’s
  discrete Wigner function\, which could explain why this representation pl
 ays a special role in some forms of quantum computation.\n\n[1] https://ar
 xiv.org/abs/2005.07161 \n\n[2] https://arxiv.org/abs/2101.06263
LOCATION:MR2 Centre for Mathematical Sciences
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