Abstract
After a short review of the notion of a quantum Markov chain, a particular class of such chains, generalizing in a natural way the usual random walks, is introduced. In Section (5) a limit theorem for quantum random walks is proved showing that the diffusion limit of the continuous coherent chain is an abelian extension of the Fock quantum Brownian motion on L 2(R+).
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© 1989 Springer-Verlag
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Accardi, L., Watson, G.S. (1989). Quantum random walks. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083545
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DOI: https://doi.org/10.1007/BFb0083545
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