You are cordially invited to the Quantum Computing Seminar organized by the Department of Mathematics.
Speaker: Redi Haderi (Bilkent University)
“No-cloning theorem in categorical quantum mechanics”
Abstract: As with many algebraic structures, the conditions and data which define a monoid structure on a set can be reframed diagrammatically, leading to the notion of a monoid object in a monoidal category. Dualizing this definition provides the notion of a comonoid.
In this talk, we introduce and discuss monoids and comonoids in SMCs.
These structures can be used to prove that any category with a notion of uniform deleting or uniform copying (or cloning) cannot describe quantum theory.
References:
1. Heunen, Chris, and Jamie Vicary. Categories for Quantum Theory: an introduction. Oxford University Press, 2019. Chapter 4.
Date: Friday, March 29, 2024
Time: 14:00
Place: SA141 – Mathematics Seminar Room & ZOOM
To request the event link, please send a message to selman.ipek@bilkent.edu.tr