We consider quantum walks on the cycle in the non-stationary case where the ‘coin’ operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, the associate probability distribution may converge to a uniform distribution among the nodes of the associated graph.

Non-stationary quantum walks on the cycle

PARLANGELI, GIANFRANCO;
2007-01-01

Abstract

We consider quantum walks on the cycle in the non-stationary case where the ‘coin’ operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the stationary case, the associate probability distribution may converge to a uniform distribution among the nodes of the associated graph.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/102823
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