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quant-ph2022★ 8 cited
Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
Marcelo Amaral, David Chester, Fang Fang +1
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 o…
quant-ph2022★ 8 cited
Character varieties and algebraic surfaces for the topology of quantum computing
Michel Planat, Marcelo M. Amaral, Fang Fang +3
It is shown that the representation theory of some finitely presented groups thanks to their character variety is related to algebraic surfaces. We make use of t…