Universal Quantum Computation with Abelian Anyon Models
arXiv:0904.4373
Abstract
We consider topological quantum memories for a general class of abelian anyon models defined on spin lattices. These are non-universal for quantum computation when restricting to topological operations alone, such as braiding and fusion. The effects of additional non-topological operations, such as spin measurements, are studied. These are shown to allow universal quantum computation, while still utilizing topological protection. Our work gives an insight into the relation between abelian models and their non-abelian counterparts.
10 pages, 3 figures, presented at 6th QPL workshop
References in corpus (8)
- A toolbox for lattice spin models with polar molecules
- Superconducting Nanocircuits for Topologically Protected Qubits
- Demonstrating anyonic fractional statistics with a six-qubit quantum simulator
- Simulations of quantum double models
- Why should anyone care about computing with anyons?
- Non-abelian statistics from an abelian model
- Revealing anyonic features in a toric code quantum simulation
- Thermal States of Anyonic Systems