We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...