Quantum random walks and their convergence

Details Quantum random walks and their convergence Quantum random walks and their convergence

2005-05-20

arxiv.org/abs/math/0505438v1

Mathematics

Operator Algebras

Scientific paper

Using coordinate-free basic operators on toy Fock spaces \cite{AP}, quantum random walks are defined following the ideas in \cite{LP,AP}. Strong convergence of quantum random walks associated with bounded structure maps is proved under suitable assumptions, extendings the result obtained in \cite{KBS} in case of one dimensional noise. To handle infinite dimensional noise we have used the coordinate-free language of quantum stochastic calculus developed in \cite{GS1}.

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