Algorithms Based On Quantum Walks
A quantum walk is the quantum analogue of a classical random walk. Similar to a classical random walk, which can be described by a probability distribution over some states, a quantum walk can be described by a quantum superposition over states. Quantum walks are known to give exponential speedups for some black-box problems. They also provide polynomial speedups for many problems. A framework for the creation quantum walk algorithms exists and is quite a versatile tool.
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