17 citations · 25 across the 2 of their papers we have counts for
8 papers
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…
Informationally complete characters for quark and lepton mixings
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
A popular account of the mixing patterns for the three generations of quarks and leptons is through the characters of a finite group . Here we introduce a -dimensional Hi…
Aspects of aperiodicity and randomness in theoretical physics
Leonardo Ortiz, Marcelo Amaral, Klee Irwin
In this work we explore how the heat kernel, which gives the solution to the diffusion equation and the Brownian motion, would change when we introduce quasiperiodicity in the scen…
Quantum computation and measurements from an exotic space-time R4
Michel Planat, Raymond Aschheim, Marcelo. M. Amaral +1
The authors previously found a model of universal quantum computation by making use of the coset structure of subgroups of a free group with relations. A valid subgroup of…
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…
Group geometrical axioms for magic states of quantum computing
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
Let be a non trivial subgroup of index of a free group and the normal closure of in . The coset organization in a subgroup of provides a group of…