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 ...

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 ...

Michele Mosca of the Institute for Quantum Computing and Dept. of Combinatorics & Optimization, University of Waterloo and St. Jerome’s University, and Perimeter Institute for Theoretical Physics ...

Delayed-acceptance Metropolis–Hastings and delayed-acceptance pseudo-marginal Metropolis–Hastings algorithms can be applied when it is computationally expensive to calculate the true posterior or an ...

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 ...

Quantum walks are changing the way scientists think about computation. They use the strange and powerful rules of quantum physics—such as superposition, interference, and entanglement—to solve ...

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 ...

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 ...