STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Quantum Random Walks in One Dimension
Quantum Information Processing
Decoherence in quantum walks – a review
Mathematical Structures in Computer Science
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The quantum walk is a generalization of classical random walks. Considerable work has been recently investigated on quantum walks in connection with quantum computing. The walk can be considered as a class of quantum cellular automata. There exists a one-to-one correspondence between them in a more general setting. Moreover we consider another class of quantum cellular automata which can be considered as a quantum version of stochastic cellular automata.