Physics – Quantum Physics
Scientific paper
2004-06-11
Physics
Quantum Physics
4 pages and 4 figures
Scientific paper
10.1103/PhysRevLett.93.190503
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.
Milman Pérola
Mosseri Remy
Ribeiro Pedro
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