Quantum computation with Turaev-Viro codes

DOI10.1016/j.aop.2010.08.001zbMath1206.81033arXiv1002.2816OpenAlexW1972018751MaRDI QIDQ616871

Robert Koenig, Greg Kuperberg, Ben W. Reichardt

Publication date: 12 January 2011

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2816

zbMATH Keywords

quantum error-correcting codestopological quantum computationfault-tolerant quantum computationTuraev-Viro invariant

Mathematics Subject Classification ID

Quantum computation (81P68) Other types of codes (94B60) Quantum algorithms and complexity in the theory of computing (68Q12) Quantum coding (general) (81P70)

Related Items

Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases, Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs, A Hermitian TQFT from a non-semisimple category of quantum \({\mathfrak{sl}(2)}\)-modules, Hamiltonian models for topological phases of matter in three spatial dimensions, Excitations in strict 2-group higher gauge models of topological phases, \(q\) deformed formulation of Hamiltonian SU(3) Yang-Mills theory, A lattice model for condensation in Levin-Wen systems, Fusion basis for lattice gauge theory and loop quantum gravity, Anyons in geometric models of matter, Quantum gravity kinematics from extended TQFTs, Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups, Towards a phase diagram for spin foams, String-net models for nonspherical pivotal fusion categories, Excitation basis for (3+1)d topological phases, Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases, Semidual Kitaev lattice model and tensor network representation, Hopf algebra gauge theory on a ribbon graph, \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces, Mapping class group actions from Hopf monoids and ribbon graphs, Kitaev lattice models as a Hopf algebra gauge theory, Quantum Fourier transforms and the complexity of link invariants for quantum doubles of finite groups, CFT correlators for Cardy bulk fields via string-net models, Computational complexity and 3-manifolds and zombies, On 2-form gauge models of topological phases, Cardy algebras, sewing constraints and string-nets

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