Université de Sherbrooke

## Talks by David Poulin

## Fault-tolerant quantum error correction with non-abelian anyons

David Poulin
Université de Sherbrooke

Non-abelian anyons have drawn much interest due to their suspected existence in two-dimensional condensed matter systems and for their potential applications in quantum computation. In particular, a quantum computation can in principle be realized by braiding and fusing certain non-abelian anyons. These operations are expected to be intrinsically robust due to their topological nature. Provided the system is kept at a

## An introduction to quantum LDPC code

David Poulin
Université de Sherbrooke

In this talk, I will cover some basic notions of quantum LDPC codes, focusing on the similarities and distinctions with their classical cousins. Topics will include definitions of stabilizer quantum LDPC codes (CSS and general), iterative decoding algorithms, dual spin models, and obstructions caused by error degeneracy. The talk will be informal and a good occasion to ask questions.

## Quantum Metropolis Sampling: An algorithm to simulate thermal systems with a quantum computer

David Poulin
Université de Sherbrooke

The original motivation to build a quantum computer came from Feynman who envisaged a machine capable of simulating generic quantum mechanical systems, a task that is intractable for classical computers. Such a machine would have tremendous applications in all physical sciences, including condensed matter physics, chemistry, and high energy physics. Part of Feynman's challenge was met by Lloyd who showed how to approximately decompose the time-evolution operator of interacting quantum particles into a short sequence of elementary gates, suitable for operation on a quantum computer.

## A Relational Formulation of Quantum Theory

David Poulin
Université de Sherbrooke

## David's Group

David Poulin
Université de Sherbrooke