You are cordially invited to the Quantum Computing Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Redi Haderi (Bilkent University)<\/p>\n
\u201cNo-cloning theorem in categorical quantum mechanics\u201d<\/p>\n
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.
\nIn this talk, we introduce and discuss monoids and comonoids in SMCs.
\nThese structures can be used to prove that any category with a notion of uniform deleting or uniform copying (or cloning) cannot describe quantum theory.<\/p>\n
References:<\/p>\n
1. Heunen, Chris, and Jamie Vicary. Categories for Quantum Theory: an introduction. Oxford University Press, 2019. Chapter 4.<\/p>\n
Date: Friday, March 29, 2024
\nTime: 14:00
\nPlace: SA141 \u2013 Mathematics Seminar Room & ZOOM<\/p>\n
To request the event link, please send a message to\u00a0selman.ipek@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the Quantum Computing Seminar organized by the Department of Mathematics. Speaker: Redi Haderi (Bilkent University) \u201cNo-cloning theorem in categorical quantum mechanics\u201d Abstract: As with many algebraic structures, the conditions and data which define a monoid structure on a set can be reframed diagrammatically, leading to [\u2026] <\/p>\n