Presenter: Dr. Priyanga Ganesan, University of California, San Diego

Description: A nonlocal game involves two non-communicating players who cooperatively play to give winning pairs of answers to questions posed by an external referee. Non-local games provide a convenient framework for exhibiting quantum supremacy in accomplishing certain tasks and have become increasingly useful in quantum information theory, mathematics, computer science and physics in recent years. Within mathematics, nonlocal games have deep connections with the field of operator algebras, group theory, graph theory and combinatorics. In this talk, I will provide an introduction to the theory of non-local games and quantum correlation classes and show their connections to different branches of mathematics. We will discuss how entanglement-assisted strategies for nonlocal games may be interpreted and studied using tools from operator algebras, group theory and combinatorics. I will then present a general framework of non local games involving quantum questions and classical answers. This will be used to introduce a quantum graph coloring game and develop new quantum chromatic numbers in this framework.

Bio: Dr. Priyanga Ganesan is currently employed as a UC President’s Postdoctoral Fellow at the University of California, San Diego. She received her PhD from Texas A&M University, College Station in May 2022. Priyanga Ganesan’s research explores the connection between operator algebras and quantum information theory. Currently, her research focuses on quantum graphs and nonlocal games, the former providing quantum analogues for confusability graphs associated to classical communication channels and the latter providing mathematical thought experiments which witness non-trivial quantum entanglement. Quantum graphs and nonlocal games have their roots in operator algebras, and her research primarily deals with the transfer of properties and results between quantum information and the setting of C*-algebras.

Hosted by: Professor Marcella Gomez

Location:  Thimann 101
Zoom link: https://ucsc.zoom.us/j/99978793177?pwd=eG9iR21RdEltUElvKzQ0TjJRUldUQT09