The key idea is that the hitting times of the random walk provide a random function for which no algorithm can locate the minimum within 2 d (1/2 - ε) steps. The purpose of The Annals of Probability ...

Quantum Walk Algorithms Quantum walks, sometimes called quantum random walks, are quantum analogues of (classical) random walks, which have proved to be a very powerful algorithmic tool in classical ...

Course Objectives: Knowledge and application of MapReduce Understanding the rate of occurrences of events in big data How to design algorithms for stream processing and counting of frequent elements ...

Single atoms have been spotted doing the quantum version of the random walk by physicists in Germany. This sighting of a “quantum walk” could help in the design of quantum search algorithms, or in the ...