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Quantum Simulation
Topological Quantum Computing
Anyons in a highly-entangled toric xy model
arXiv
Authors: Milo Moses, Konrad Deka
Year
2023
Paper ID
56126
Status
Preprint
Abstract Read
~2 min
Abstract Words
101
Citations
N/A
Abstract
While ostensibly coined in 1989 by Xiao-Gang Wen, the term "topological order" has been in use since 1972 to describe the behavior of the classical xy model. It has been noted that the xy model does not have Wen's topological order since it is also subject a non-topological U(1) gauge action. We show in a sense this is the only obstruction. That is, if gauge invariance is enforced energetically then the xy model becomes purely topologically ordered. In fact, we show that the quantum xy topological order is an infinite lattice limit of Kitaev's quantum double model applied to the group G=Z.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- While ostensibly coined in 1989 by Xiao-Gang Wen, the term "topological order" has been in use since 1972 to describe the behavior of the classical xy model.
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