7 citations · 8 across the 3 of their papers we have counts for
3 papers
quant-ph2019★ 7 cited
Lower Bounds for Parallel Quantum Counting
Paul Burchard
We prove a generalization of the parallel adversary method to multi-valued functions, and apply it to prove that there is no parallel quantum advantage for approximate counting.
cs.LG2019★ 1 cited
Empirical Differential Privacy
Paul Burchard, Anthony Daoud, Dominic Dotterrer
We show how to achieve differential privacy with no or reduced added noise, based on the empirical noise in the data itself. Unlike previous works on noiseless privacy, the empiric…
math.AG1998
Normal differential operators and deformation theory
Paul Burchard, Herb Clemens
This paper develops the theory of a sheaf of normal differential operators to a submanifold Y of a complex manifold X as a generalization of the normal bundle. We show that the glo…