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math-ph2025
Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
Zhanna Kuznetsova, Francesco Toppan
We introduce color Heisenberg-Lie (super)algebras graded by the abelian groups , for , and investigate the properties of their associated multi-…
math-ph2024
On the Classification of the Lévy-Leblond Spinors
Luiza Miranda, Isaque P. de Freitas, Francesco Toppan
The first-order Lévy-Leblond differential equations (LLEs) are the non-relativistic analogous of the Dirac equation: they are the "square roots" of the Schrödinger equation in ($1+…
math-ph2024
Volichenko-type metasymmetry of braided Majorana qubits
Francesco Toppan
This paper presents different mathematical structures connected with the parastatistics of braided Majorana qubits and clarifies their role; in particular, mixed-bracket Heisenberg…