Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing

• URL: http://arxiv.org/abs/2207.08928v1
• Date: Fri, 1 Jul 2022 22:02:05 GMT
• Title: Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
• Authors: Marcelo Amaral, David Chester, Fang Fang and Klee Irwin
• Abstract summary: We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. A possible encoding on tiling spaces of topological quantum information processing is also discussed.
• Score: 2.9246496089929566
• License: http://creativecommons.org/licenses/by/4.0/
• 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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