Quantum random walks and their convergence
Abstract
Using coordinate-free basic operators on toy Fock spaces AP, quantum random walks are defined following the ideas in LP,AP. Strong convergence of quantum random walks associated with bounded structure maps is proved under suitable assumptions, extendings the result obtained in 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 GS1.
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