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math.RT2025
Uniform bounds and uncertainty for asymptotics of representations of -adic
Rahul Dalal, Mathilde Gerbelli-Gauthier, Simon Marshall
We prove two results on the growth of dimensions of fixed vectors of representations of -adic under principal congruence subgroups: First, a uniform bound on th…
quant-ph2025
Quantum machine learning advantages beyond hardness of evaluation
Riccardo Molteni, Simon C. Marshall, Vedran Dunjko
The most general examples of quantum learning advantages involve data labeled by cryptographic or intrinsically quantum functions, where classical learners are limited by the infea…