Farrokh

(with Dave Clader, Nikitas Stamatopoulos and Will Zeng)

of an incoming wave with the fewest possible measurements. Measurements of the quantum state at different values of Grover iterations can be mapped to a ''signal'', which can be post-processed using a DOA algorithm to estimate the amplitude.

Quantum amplitude estimation from classical signal processing: scirate.com/arxiv/2405.146… The problem of amplitude estimation can be mapped directly to a problem in signal processing called direction of arrival (DOA) estimation. The DOA task is to determine the direction of arrival

Magic states are cubic "nonclassical" polynomials, while stabilizer states are quadratic. I use this fact to give a linear lower bound on the stabilizer rank of the n-qudit magic states.

Stabilizer rank and higher-order Fourier analysis: scirate.com/arxiv/2107.105…

Researchers at QuSoft have won the outstanding paper prize for their paper “Quasirandom quantum channels” arxiv.org/abs/1908.06310 It's awarded by @tqc2020, which starts today! Coming Friday Farrokh Labib will give an online presentation about it at 11:45 tqc2020.lu.lv/program/friday/

@ProbFact Birkhoff-von Neumann theorem :)

A doubly stochastic matrix (i.e. non-negative entries, rows and columns sum to 1) is a convex combination of permutation matrices.

@alijd34 @AlgebraFact yes, see en.m.wikipedia.org/wiki/Dirichlet…

@AlgebraFact Proved?

For every integer m > 0, there exist infinitely many primes of the form p = km + 1.