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CATEGORIES:CQIF Seminar
SUMMARY:The structure of noncontextuality\, in particular
for the stabilizer subtheory - Matthew Pusey\, Uni
versity of York
DTSTART;TZID=Europe/London:20220428T141500
DTEND;TZID=Europe/London:20220428T151500
UID:TALK170798AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/170798
DESCRIPTION:I will give an overview of two recent papers on th
e generalised notion of noncontextuality due to Sp
ekkens. In the first [1] we show that taking into
account transformations imposes a surprisingly rig
id structure on noncontextual models of tomographi
cally local theories (such as quantum theory). An
example of this rigidity is that the number of ont
ic states in the noncontextual model must equal th
e dimension of the operational state space. In the
second paper [2] we exploit this structure to cla
ssify the noncontextual models of the stabilizer s
ubtheories\, finding that there is a unique noncon
textual model in odd dimension\, and no model at a
ll in even dimension. The unique model in odd dime
nsions is known as Grossâ€™s discrete Wigner functio
n\, which could explain why this representation pl
ays a special role in some forms of quantum comput
ation.\n\n[1] https://arxiv.org/abs/2005.07161 \n\
n[2] https://arxiv.org/abs/2101.06263
LOCATION:MR2 Centre for Mathematical Sciences
CONTACT:Damian Pitalua-Garcia
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