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math-ph2013★ 6 cited
Spectral Properties of Quantum Walks on Rooted Binary Trees
Alain Joye, Laurent Marin
We define coined Quantum Walks on the infinite rooted binary tree given by unitary operators on an associated infinite dimensional Hilbert space, depending on a unitary coin…
math-ph2013
Absence of absolutely continuous spectrum for random scattering zippers
Hakim Boumaza, Laurent Marin
A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator…