dorsal/arxiv
View SchemaDecoherence in the quantum walk on the line
| Authors | A. Romanelli, R. Siri, G. Abal, A. Auyuanet, R. Donangelo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403192 |
| URL | https://arxiv.org/abs/quant-ph/0403192 |
| DOI | 10.1016/j.physa.2004.08.070 |
| Journal | Phys. A, vol 347C, pp. 137-152 (2005) |
Abstract
We investigate the quantum walk on the line when decoherences are introduced either through simultaneous measurements of the chirality and particle position, or as a result of broken links. Both mechanisms drive the system to a classical diffusive behavior. In the case of measurements, we show that the diffusion coefficient is proportional to the variance of the initially localized quantum random walker just before the first measurement. When links between neighboring sites are randomly broken with probability $p$ per unit time, the evolution becomes decoherent after a characteristic time that scales as $1/p$. The fact that the quadratic increase of the variance is eventually lost even for very small frequencies of disrupting events, suggests that the implementation of a quantum walk on a real physical system may be severely limited by thermal noise and lattice imperfections.
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"abstract": "We investigate the quantum walk on the line when decoherences are introduced\neither through simultaneous measurements of the chirality and particle\nposition, or as a result of broken links. Both mechanisms drive the system to a\nclassical diffusive behavior. In the case of measurements, we show that the\ndiffusion coefficient is proportional to the variance of the initially\nlocalized quantum random walker just before the first measurement. When links\nbetween neighboring sites are randomly broken with probability $p$ per unit\ntime, the evolution becomes decoherent after a characteristic time that scales\nas $1/p$. The fact that the quadratic increase of the variance is eventually\nlost even for very small frequencies of disrupting events, suggests that the\nimplementation of a quantum walk on a real physical system may be severely\nlimited by thermal noise and lattice imperfections.",
"arxiv_id": "quant-ph/0403192",
"authors": [
"A. Romanelli",
"R. Siri",
"G. Abal",
"A. Auyuanet",
"R. Donangelo"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2004.08.070",
"journal_ref": "Phys. A, vol 347C, pp. 137-152 (2005)",
"title": "Decoherence in the quantum walk on the line",
"url": "https://arxiv.org/abs/quant-ph/0403192"
},
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