We are happy to announce the following online seminar by Dr. Priyanga Ganeshan.
The details of the talk are as follows:
Speaker: Dr. Priyanga Ganeshan, University of California, San Diego, USA
Time and Date: 22 May 2026 (Friday), 11:00 hours
Venue: MSB Harishchandra Seminar Hall
Title: Quantum Graphs and the Mathematics of Quantum Advantage
Abstract: Quantum graphs are a non-commutative generalization of classical graphs that have recently emerged across several areas of mathematics, including operator algebras, non-commutative geometry, and quantum information theory. In the context of quantum information, they play a central role in zero-error quantum communication, where they serve as quantum analogues of confusability graphs and provide mathematical models for noise in quantum channels. In this talk, I will present an overview of the mathematical theory of quantum graphs and discuss their significance in quantum information theory. I will illustrate how classical notions such as graph coloring, chromatic numbers, and graph connectivity can be translated into the quantum regime using tools from operator algebras and combinatorics. In particular, I will demonstrate that the quantum chromatic number of a quantum graph is always finite, whereas its classical counterpart may be infinite. This result highlights how quantum graphs serve as a powerful mathematical tool for demonstrating quantum advantage.
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