17 citations · 21 across the 3 of their papers we have counts for
7 papers
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…
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…
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…
Quantum computing, Seifert surfaces and singular fibers
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
The fundamental group of a knot or link may be used to generate magic states appropriate for performing universal quantum computation and simultaneously for retrieving…
Quantum computing with Bianchi groups
Michel Planat, Raymond Aschheim, Marcelo M. Amaral +1
It has been shown that non-stabilizer eigenstates of permutation gates are appropriate for allowing -dimensional universal quantum computing (uqc) based on minimal informational…
Emergence of an aperiodic Dirichlet space from the tetrahedral units of an icosahedral internal space
Amrik Sen, Raymond Aschheim, Klee Irwin
We present the emergence of a root system in six dimensions from the tetrahedra of an icosahedral core known as the 20-group (20G) within the framework of Clifford's geometric alge…