17 citations · 26 across the 7 of their papers we have counts for
4 papers · 1 filter
A Hierarchy of Fibonacci Forbidden-Word Hamiltonians: From the Golden Chain to the Plastic Chain and Aperiodic Order
Marcelo Maciel Amaral
We introduce an infinite, scale-aligned hierarchy of one-dimensional, frustration-free Hamiltonians by forbidding the minimal forbidden factors of the Fibonacci word up to length $…
Consistent Simulation of Fibonacci Anyon Braiding within a Qubit Quasicrystal Inflation Code
Marcelo M. Amaral
The simulation of non-Abelian anyon braiding is a critical step towards fault-tolerant quantum computation. We introduce a framework for this task based on a one-dimensional Quasic…
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…
Holographic Code Rate
Noah Bray-Ali, David Chester, Dugan Hammock +3
Holographic codes grown with perfect tensors on regular hyperbolic tessellations using an inflation rule protect quantum information stored in the bulk from errors on the boundary…