dorsal/arxiv
View SchemaQuantization and Asymptotic Behaviour of $\epsilon_{V^{k}}$ Quantum Random Walk on Integers
| Authors | Demosthenes Ellinas, Ioannis Smyrnakis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510098 |
| URL | https://arxiv.org/abs/quant-ph/0510098 |
| DOI | 10.1016/j.physa.2006.01.008 |
Abstract
Quantization and asymptotic behaviour of a variant of discrete random walk on integers are investigated. This variant, the $\epsilon_{V^{k}}$ walk, has the novel feature that it uses many identical quantum coins keeping at the same time characteristic quantum features like the quadratically faster than the classical spreading rate, and unexpected distribution cutoffs. A weak limit of the position probability distribution (pd) is obtained, and universal properties of this arch sine asymptotic distribution function are examined. Questions of driving the walk are investigated by means of a quantum optical interaction model that reveals robustness of quantum features of walker's asymptotic pd, against stimulated and spontaneous quantum noise on the coin system.
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"abstract": "Quantization and asymptotic behaviour of a variant of discrete random walk on\nintegers are investigated. This variant, the $\\epsilon_{V^{k}}$ walk, has the\nnovel feature that it uses many identical quantum coins keeping at the same\ntime characteristic quantum features like the quadratically faster than the\nclassical spreading rate, and unexpected distribution cutoffs. A weak limit of\nthe position probability distribution (pd) is obtained, and universal\nproperties of this arch sine asymptotic distribution function are examined.\nQuestions of driving the walk are investigated by means of a quantum optical\ninteraction model that reveals robustness of quantum features of walker\u0027s\nasymptotic pd, against stimulated and spontaneous quantum noise on the coin\nsystem.",
"arxiv_id": "quant-ph/0510098",
"authors": [
"Demosthenes Ellinas",
"Ioannis Smyrnakis"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physa.2006.01.008",
"title": "Quantization and Asymptotic Behaviour of $\\epsilon_{V^{k}}$ Quantum Random Walk on Integers",
"url": "https://arxiv.org/abs/quant-ph/0510098"
},
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