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math.NT2026
A class formula for effective Anderson motives
Xavier Caruso, Quentin Gazda, Alexis Lucas
We establish a class formula with variable for arbitrary effective Anderson motives. This pursues the pioneering work of Taelman and extends the scope of the work of Angl{è}s-Ngo D…
quant-ph2026
Logarithmic-depth quantum state preparation of polynomials
Baptiste Claudon, Alexis Lucas, Jean-Philip Piquemal +2
Quantum state preparation is a central primitive in many quantum algorithms, yet it is generally resource intensive, with efficient constructions known only for structured families…