Home (PPM) Centre for Topological Quantum Information * Up

TQI at Leeds: Joao Faria Martins, Jiannis Pachos, Paul Martin, Fiona Torzewska, Zoltan Kadar, Vincent Koppen, Celeste Damiani (now QMUL), Alex Bullivant (now Maynooth), Kon Meichanetzidis (now Oxford), ...

Representations of Graph Braid Groups in Topological Quantum Computing

(Project Investigators: PI = Tomasz Maciazek (Bristol) ; CoI = Alex Bullivant (Maynooth); CoI = Joost Slingerland (Maynooth); CoI = Paul Martin ; CoI = Nicholas Jones (Bristol); CoI = ... et al .)

Start: 2021

See for example Martin--Saleur, On an algebraic approach to higher-dimensional statistical mechanics, Commun Math Phys 158, 1993.
Maciazek--Sawicki, Non-alelian quantum statistics on graphs, Commun Math Phys 371, 2019.
More references including recent refs of Tomasz and Alex to follow.

Idea: Try to build computers with quantum nature of physics used in software/hardware integration (rather than just ``accidentally'' as reason why some hardware components work).

Bleeding edge Physics (in the sense that quantum physics is functional as Engineering, but somewhat open as Physics).

and - serendipitously - ...

bleeding edge maths. Proposals for addressing the quantum computation challenge use mathematics from several areas (including topology, category theory, diagram algebras, quantum groups, algebraic representation theory, K-theory, integrable systems, statistical mechanics, q-spin chains and so on).

Workshops

TBA (Bristol 2021)