4 papers
Debate is efficient with your time
Jonah Brown-Cohen, Geoffrey Irving, Simon C. Marshall +3
AI safety via debate uses two competing models to help a human judge verify complex computational tasks. Previous work has established what problems debate can solve in principle,…
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…
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…
Improved separation between quantum and classical computers for sampling and functional tasks
Simon C. Marshall, Scott Aaronson, Vedran Dunjko
This paper furthers existing evidence that quantum computers are capable of computations beyond classical computers. Specifically, we strengthen the collapse of the polynomial hier…