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 $L^2({\bf R}_+)$.
Accardi, L., Watson, G. (1987). Quantum random walks. In Quantum probability and applications IV: proceedings of the Year of quantum probability (pp.73-88). Springer LMN.
Quantum random walks
ACCARDI, LUIGI;
1987-01-01
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 $L^2({\bf R}_+)$.File in questo prodotto:
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