9 citations · 46 across the 10 of their papers we have counts for
11 papers
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…
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…
Golden, Quasicrystalline, Chiral Packings of Tetrahedra
Fang Fang, Garrett Sadler, Julio Kovacs +1
Since antiquity, the packing of convex shapes has been of great interest to many scientists and mathematicians. Recently, particular interest has been given to packings of three-di…
Starobinsky Inflation and Dark Energy and Dark Matter Effects from Quasicrystal Like Spacetime Structures
R. Aschheim, L. Bubuianu, Fang Fang +3
The goal of this work on mathematical cosmology and geometric methods in modified gravity theories, MGTs, is to investigate Starobinsky-like inflation scenarios determined by gravi…
The Unexpected Fractal Signatures in Fibonacci chains
Fang Fang, Raymond Aschheim, Klee Irwin
Quasicrystals are fractal due to their self similar property. In this paper, a new cycloidal fractal signature possessing the cardioid shape in the Mandelbrot set is presented in t…
Quantum walk on a spin network
M. M. Amaral, R. Aschheim, Klee Irwin
We apply a discrete quantum walk from a quantum particle on a discrete quantum spacetime from loop quantum gravity and show that the related Entanglement Entropy can drive a entrop…