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 ...

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 ...

Quantum bits (qubits) are the building blocks of quantum computers, but putting enough of them together in the one device to run computations like those expected in a standard computer is difficult to ...

The Annals of Statistics, Vol. 40, No. 6 (December 2012), pp. 3050-3076 (27 pages) A random-walk Metropolis sampler is geometrically ergodic if its equilibrium density is super-exponentially light and ...

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 ...

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 ...