Continuous-time quantum walk

A continuous-time quantum walk is a quantum version of a random walk where a particle moves across a network or graph, but unlike classical particles, it can exist in multiple places simultaneously thanks to quantum superposition. Its evolution is governed by the principles of quantum mechanics, allowing the particle to interfere with itself, which can lead to different spreading patterns and faster search capabilities. This concept is useful in quantum computing and algorithms, as it leverages uniquely quantum effects to explore complex systems more efficiently than classical methods.