84 citations · 970 across the 84 of their papers we have counts for
84 papers
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density
David Chester, Xerxes D. Arsiwalla, Louis Kauffman +2
We generalize Koopman-von Neumann classical mechanics to poly-symplectic fields and recover De Donder-Weyl theory. Comparing with Dirac's Hamiltonian density inspires a new Hamilto…
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…
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…