A very brief introduction to quantum computing and quantum information theory for mathematicians

TL;DR

This paper provides a concise introduction to quantum computing and quantum information theory tailored for mathematicians, highlighting geometric connections and asymptotic representation theory.

Contribution

It offers a specialized overview emphasizing geometric aspects and links to asymptotic representation theory, making quantum concepts accessible to geometers.

Findings

Highlights connections between quantum theory and geometry

Emphasizes asymptotic representation theory in quantum information

Serves as an accessible introduction for mathematicians

Abstract

This is a very brief introduction to quantum computing and quantum information theory, primarily aimed at geometers. Beyond basic definitions and examples, I emphasize aspects of interest to geometers, especially connections with asymptotic representation theory. Proofs of most statements can be found in standard references.