You are cordially invited to the Quantum Computing Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Walker H. Stern (Bilkent University)<\/p>\n
\u201cHigher quantum theory and 2-Hilbert spaces\u201d<\/p>\n
Abstract: In this talk, we will discuss categorifications of Hilbert spaces, called $emph{2-Hilbert spaces}$. In much the same way as Hilbert spaces are sets with linear structures and inner products satisfying a completeness condition, 2-Hilbert spaces are categories with linear structures and inner products on their hom-sets, satisfying a categorical completeness condition. We will develop the monoidal bicategory of 2-Hilbert spaces, and discuss how teleportation and quantum dense coding manifest in this framework.<\/p>\n
References:<\/p>\n
1. Heunen, Chris, and Jamie Vicary. Categories for Quantum Theory: an introduction. Oxford University Press, 2019. Chapter 8<\/p>\n
2. Baez, John. Higher-dimensional algebra II: 2-Hilbert spaces. Advances in Mathematics, 127(2):125\u2013189, 1997. Chapters 1-4<\/p>\n
3. Bartlett, Bruce. On unitary 2-representations of finite groups and topological quantum field theory.
\narXiv:0901.3975. Sections 3.1, 3.2, & 3.3.<\/p>\n
Date: Friday, May 17, 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: Walker H. Stern (Bilkent University) \u201cHigher quantum theory and 2-Hilbert spaces\u201d Abstract: In this talk, we will discuss categorifications of Hilbert spaces, called $emph{2-Hilbert spaces}$. In much the same way as Hilbert spaces are [\u2026] <\/p>\n