Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
This paper introduces color Heisenberg-Lie (super)algebras graded by specific abelian groups to unify commutators and anticommutators via mixed brackets, thereby establishing a framework for both permutation-based and anyonic parastatistics that recovers braided Majorana qubits through nilpotent parafermions and characterizes parabosons via measurable probability densities.