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URL;TYPE=URI:https://wpiedudev.wpi.edu/news/calendar/events/department-math
 ematical-sciences-qit-thinking-seminar-bill-martin-wpi-1
SUMMARY:Department of Mathematical Sciences QIT Thinking Seminar: Bill Mart
 in, WPI
DESCRIPTION:\n\n\n      \n\n\n\n\nDepartment of Mathematical Sciences\nQIT 
 Thinking Seminar\nWednesday, September 24th, 2025\n4:00PM-4:50PM\nStratton
  Hall 207\nSpeaker: Bill Martin, WPI\nTitle: Semidefinite programming and 
 quantum isomorphism\nAbstract: This talk is based on the 2019 paper "Quant
 um and non-signalling graph isomorphisms” by Atserias, et al. Variations o
 n the theme of graph isomorphism are formulated as various optimization pr
 oblems. I will present these and focus on quantum isomorphism of graphs in
  the quantum tensor framework. My goal is to test the power and limitation
 s of semidefinite programming vis a vis finding quantum permutation matric
 es with entries of a fixed finite size d that solve the quantum isomorphis
 m problem. One priority of the talk is to give a basic introduction to sem
 idefinite programming. So we will not go into any depth on the issue of qu
 antum isomorphism itself. For quantum permutation matrices with 2 x 2 entr
 ies, we are working with rank one projectors parametrized by the projectiv
 e line. As this set is non-convex, we instead explore the fantope of ortho
 gonal projections and see how much is lost in this compromise.\n
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