Classical verifier checks a beyond-PH quantum language via an oracle
The public-coin protocol has perfect completeness and soundness error at most 1/4, with near-optimal message count.
Stories per day · 30 days
3 stories, newest first · one card per story
Stories tagged #fourier-sampling
Tight Query Lower Bounds for Quantum Sampling, with an Application to Certified Randomness
Tight quantum query bounds show high XEB scores certify near-ideal randomness from untrusted samplers.
A Fourier-Label Information-Loss Barrier for Dihedral Coset Algorithms
A no-go theorem shows Regev-style dihedral coset algorithms fail if they discard too many Fourier-label bits.