Abstract. Suppose one has access to oracles generating samples from two unknown probability distributions p and q on some N-element set. How many samples does one need to test whet...
Most modern cryptographic studies design cryptosystems and algorithms using mathematical concepts. In designing and analyzing cryptosystems and protocols, mathematical concepts ar...
Reducing the error of quantum algorithms is often achieved by applying a primitive called amplitude amplification. Its use leads in many instances to quantum algorithms that are q...
We illustrate recent progress in developing algorithms for solving the Kohn-Sham problem. Key ingredients of our algorithm include pseudopotentials implemented on a real space gri...
James R. Chelikowsky, Murilo L. Tiago, Yousef Saad...
: The theoretical study of quantum computation has yielded efficient algorithms for some traditionally hard problems. Correspondingly, experimental work on the underlying physical...
Steven Balensiefer, Lucas Kreger-Stickles, Mark Os...