TL;DR: Quantum walks are the quantum analog of classical random walks, providing algorithmic speedups for graph problems. They underpin several important algorithms including element distinctness and spatial
Quantum walks are the quantum analog of classical random walks, providing algorithmic speedups for graph problems. They underpin several important algorithms including element distinctness and spatial search. Quantum walks can achieve exponential speedups for specific graph structures and are a fundamental primitive in quantum algorithm design.
Type
Graph / Network Analysis
Complexity
O(√N) for search; exponential speedup for some graph problems
Application
Graph traversal, network analysis, element distinctness, search on graphs