Abstract
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.
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Konno, N. (2008). Quantum Walks and Quantum Cellular Automata. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_3
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DOI: https://doi.org/10.1007/978-3-540-79992-4_3
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