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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260604T160000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/quantum-mathematics-cataly
 st-seminar
SUMMARY:Quantum Mathematics Catalyst Seminar
CLASS:PUBLIC
DESCRIPTION:ADINA GOLDBERG\, MITTAG-LEFFLER INSTITUTE\n\n_Quantum games and
  quantum graphs via the double category of quantum\nrelations_\n\nBinary r
 elations are ubiquitous. Classical nonlocal games (Bell\nscenarios) can be
  thought of as binary relations between question\npairs and answer pairs. 
 Classical undirected graphs can be thought of\nas symmetric binary relatio
 ns on a vertex set. There is a notion of\nquantum relation: a quantum anal
 ogue of binary relation. Just as\nrelations can be transformed by function
 s\, quantum relations can be\ntransformed by quantum functions. The intera
 ctions between quantum\nrelations and quantum functions are made precise b
 y the double\ncategory of quantum sets\, quantum functions\, and quantum r
 elations. We\ndefine this new double category building on the work of Weav
 er\,\nKornell\, and Musto-Reutter-Verdon. We illustrate how the category\n
 suggests\, distinguishes\, and motivates quantizations of some\nconstructi
 ons/results from classical graph theory and nonlocal games.\nBasicterms re
 lated to C*-algebras\, bimodules\, and category theory will\ncome up\, but
  the talk can also be followed by analogy to the classical\nsetting.\n\nQN
 C 1201
DTSTAMP:20260604T125443Z
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