dorsal/arxiv
View SchemaAperiodic Quantum Random Walks
| Authors | Pedro Ribeiro, Perola Milman, Remy Mosseri |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406071 |
| URL | https://arxiv.org/abs/quant-ph/0406071 |
| DOI | 10.1103/PhysRevLett.93.190503 |
Abstract
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.
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"abstract": "We generalize the quantum random walk protocol for a particle in a\none-dimensional chain, by using several types of biased quantum coins, arranged\nin aperiodic sequences, in a manner that leads to a rich variety of possible\nwave function evolutions. Quasiperiodic sequences, following the Fibonacci\nprescription, are of particular interest, leading to a sub-ballistic\nwavefunction spreading. In contrast, random sequences leads to diffusive\nspreading, similar to the classical random walk behaviour. We also describe how\nto experimentally implement these aperiodic sequences.",
"arxiv_id": "quant-ph/0406071",
"authors": [
"Pedro Ribeiro",
"Perola Milman",
"Remy Mosseri"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.93.190503",
"title": "Aperiodic Quantum Random Walks",
"url": "https://arxiv.org/abs/quant-ph/0406071"
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