5 citations · 13 across the 7 of their papers we have counts for
7 papers
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-…
Braided Majorana qubits as a minimal setting for Topological Quantum Computation?
Francesco Toppan
I point out that a possible minimal setting to realize Kitaev's proposal of a Topological Quantum Computation which offers topological protection from decoherence could in principl…
On braid statistics versus parastatistics
Francesco Toppan
I report the recent advances in applying (graded) Hopf algebras with braided tensor product in two scenarios: i) paraparticles beyond bosons and fermions living in any space dimens…
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+…
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…
Transmuted spectrum-generating algebras and detectable parastatistics of the Superconformal Quantum Mechanics
Francesco Toppan
In a recent paper (Balbino-de Freitas-Rana-FT, arXiv:2309.00965) we proved that the supercharges of the supersymmetric quantum mechanics can be statistically transmuted and accommo…
The parastatistics of braided Majorana fermions
Francesco Toppan
This paper presents the parastatistics of braided Majorana fermions obtained in the framework of a graded Hopf algebra endowed with a braided tensor product. The braiding property…