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cs.CC2025
Symmetric Distributions from Shallow Circuits
Daniel M. Kane, Anthony Ostuni, Kewen Wu
We characterize the symmetric distributions that can be (approximately) generated by shallow Boolean circuits. More precisely, let be a Boolean fu…
cs.CC2025
Quantum Advantage from Sampling Shallow Circuits: Beyond Hardness of Marginals
Daniel Grier, Daniel M. Kane, Jackson Morris +2
We construct a family of distributions with over and a family of depth- quantum circuits such that …