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math-ph2021★ 4 cited
An approach to -adic qubits from irreducible representations of
Ilaria Svampa, Stefano Mancini, Andreas Winter
We introduce the notion of -adic quantum bit (-qubit) in the context of the -adic quantum mechanics initiated and developed by Volovich and his followers. In this approach…
math.NT2021★ 3 cited
Geometry of the -adic special orthogonal group
Sara Di Martino, Stefano Mancini, Michele Pigliapochi +2
We derive explicitly the structural properties of the -adic special orthogonal groups in dimension three, for all primes , and, along the way, the two-dimensional case. In pa…