Quantum walks, the quantum analogue of classical random walks, have emerged as a pivotal framework in the study of quantum dynamics and information processing. These systems exploit inherently quantum ...

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 ...

We study the asymptotic behavior of a multidimensional random walk in a general cone. We find the tail asymptotics for the exit time and prove integral and local limit theorems for a random walk ...

Consider the number of steps needed by algorithms to locate the minimum of functions defined on the d-cube, where the functions are known to have no local minima except the global minimum. Regard this ...

Download PDF More Formats on IMF eLibrary Order a Print Copy Create Citation This paper addresses a key puzzle in international finance: whether exchange rates follow a random walk or exhibit ...

The pharmaceutical research that makes the news tends to focus on single "blockbuster" drugs. Some of the most effective therapies, in contrast, are combinations of drugs. These combinations can often ...

Tim Smith has 20+ years of experience in the financial services industry, both as a writer and as a trader. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...