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arXiv · 2207.08928

Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing

Marcelo Amaral·David Chester·Fang Fang·Klee Irwin
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Abstract

We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. In particular, we study a correspondence between the fusion Hilbert spaces of the simplest non-abelian anyon, the Fibonacci anyons, and the tiling spaces of a class of quasicrystals, which includes the one dimensional Fibonacci chain and the two dimensional Penrose tiling. A possible encoding on tiling spaces of topological quantum information processing is also discussed.

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Marcelo Amaral, David Chester, Fang Fang, Klee Irwin. 2022-07-01. Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing. https://doi.org/10.3390/sym14091780

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