Woensdag 27 mei 2009
||Pieter Naaijkens (Radboud Universiteit Nijmegen)
|| Topological quantum computing and modular categories
||11:00 - 12:00
Vanaf kwart voor 11 is er koffie en thee voor de zaal.
Quantum computers can perform certain tasks, most notably factoring of
integers, with significant lower complexity than classical computers.
However, one faces many technical difficulties trying to build a quantum
computer. One of the most important problems is the occurence of errors
due to interaction with the environment. To overcome these difficulties,
models for quantum computers based on topological properties of the
underlying quantum system have been proposed. These models provide a
form of "hardware" error correction.
In this talk I will outline the basic idea behind this, and describe the
underlying mathematical structure. It turns out that the essential
properties of topological quantum computers have an elegant description
in terms of modular tensor categories.
No prior knowledge of any of the topics in this talk is assumed.