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
\u201cSymmetric Monoidal Categories (I)\u201d<\/p>\n
Abstract: We will introduce monoidal categories and symmetric monoidal categories (SMCs) as well as the string diagrams which provide graphical calculi for computations in SMCs (Primary reference: [1,Ch. 1], secondary references: [2, \u00a73.1, \u00a73.3], [5, Ch. XI], [3, Ch. 3], [4, Track 1]). We define dual objects and duality data in a SMC (Primary
\nreference: [1, Ch. 3], secondary references: [2,\u00a73.3], [4, Track 1]). We illustrate these definitions with examples drawn from categories of vector spaces, categories of finite dimensional Hilbert spaces, and several others.<\/p>\n
References:<\/p>\n
1. Heunen, Chris, and Jamie Vicary. Categories for Quantum Theory: an introduction. Oxford University Press, 2019.<\/p>\n
2. Samson Abramsky and Bob Coecke. Categorical Quantum Mechanics. arXiv:0808.1023<\/p>\n
3. Peter Selinger. A survey of graphical languages for monoidal categories. arXiv:0908.3347<\/p>\n
4. John Baez. Quantum Gravity Seminar \u2013 Fall 2000. online notes<\/p>\n
5. Saunders Mac Lane. Categories for the Working Mathematician. Springer GTM volume 5, 1978.<\/p>\n
Date: Friday, February 23, 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) \u201cSymmetric Monoidal Categories (I)\u201d Abstract: We will introduce monoidal categories and symmetric monoidal categories (SMCs) as well as the string diagrams which provide graphical calculi for computations in SMCs [\u2026] <\/p>\n