Discrete-time quantum walk

A discrete-time quantum walk is a quantum version of a random walk, where a particle moves on a grid or network in discrete steps. Unlike classical walks, where the particle's direction is random, quantum walks use principles like superposition, allowing the particle to be in multiple positions simultaneously, and interference, affecting its movement probabilities. This results in faster spreading across the grid, enabling more efficient algorithms for problems like search and optimization. Essentially, it's a quantum process that explores possibilities more efficiently than classical counterparts, leveraging quantum mechanics to enhance computational and information processing tasks.