17 citations · 64 across the 12 of their papers we have counts for
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math.GR2019★ 8 cited
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…
hep-th2019★ 7 cited
Quantum Gravity at the Fifth Root of Unity
Marcelo Amaral, Raymond Aschheim, Klee Irwin
We consider quantum transition amplitudes, partition functions and observables for 3D spin foam models within quantum group deformation symmetry, where the deformation para…
math.GN2019★ 7 cited
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…