Article Dans Une Revue Physical Review Letters Année : 2004

Aperiodic Quantum Random Walks

Résumé

We generalize the quantum random walk protocol for a particle in a one-dimensional chain, by using several types of biased quantum coins, arranged in aperiodic sequences, in a manner that leads to a rich variety of possible wave function evolutions. Quasiperiodic sequences, following the Fibonacci prescription, are of particular interest, leading to a sub-ballistic wavefunction spreading. In contrast, random sequences leads to diffusive spreading, similar to the classical random walk behaviour. We also describe how to experimentally implement these aperiodic sequences.

Dates et versions

hal-00122977 , version 1 (07-01-2007)

Identifiants

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Pedro Ribeiro, Perola Milman, Remy Mosseri. Aperiodic Quantum Random Walks. Physical Review Letters, 2004, 93, pp.190503. ⟨hal-00122977⟩
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