We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
The continuous-time query model is a variant of the discrete query model in which queries can be interleaved with known operations (called "driving operations") continuo...
Richard Cleve, Daniel Gottesman, Michele Mosca, Ro...
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...