Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve ...

Random walks constitute a foundational concept in probability theory, describing the seemingly erratic movement of particles or agents as they traverse a space in a series of stochastic steps. In many ...

Random walks constitute one of the cornerstone concepts in probability theory and statistical physics, representing a class of stochastic processes in which a moving entity takes successive steps in ...

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 ...

Quantum walk applications are divided into 4 main categories: quantum computing, quantum simulation, quantum information processing, and graph-theoretic applications. Quantum walks are a powerful ...

We establish a correspondence between the limit distribution and the asymptotic entropy of random walks on ℤ, which have a sequence of step length that is exponentially increasing up to some error, ...