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Representing modular tensor categories: a computer algebra system for topological quantum computing

Abstract:

Topological quantum computation (TQC) is a new fault-tolerant approach to quantum information, where computations are carried out by braiding particles called anyons. Anyons are quasiparticles that exist in 2 + 1 dimensions and are neither bosons or fermions. Modular tensor categories capture the structure of anyon systems and thus serve as models for topological quantum computation. However, program of using category theory to find higher-level structures and protocols has yet to be appli...

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Research group:
Quantum Group
Oxford college:
New College
Role:
Author

Contributors

Division:
MPLS
Department:
Computer Science
Role:
Supervisor
Division:
MPLS
Department:
Computer Science
Role:
Supervisor
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Funding agency for:
Roberts, D
Publication date:
2011
Type of award:
MSc by Research
Level of award:
Masters
Awarding institution:
Oxford University, UK

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