Quantum Walks

Quantum walks are the quantum analogue of classical random walks, describing how a particle explores a space (like a grid) using quantum principles. Unlike classical walks, where the particle hops randomly step-by-step, a quantum walk involves superposition, allowing the particle to exist in multiple positions simultaneously. This leads to interference effects that can speed up the spread across the space. Quantum walks underpin some quantum algorithms, offering potential for faster computing, simulating physical systems, and solving complex problems more efficiently than classical methods. They blend probability, wave behavior, and quantum coherence to explore and process information in novel ways.