dorsal/arxiv
View SchemaContinuous-Time Quantum Walks on Trees in Quantum Probability Theory
| Authors | Norio Konno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602213 |
| URL | https://arxiv.org/abs/quant-ph/0602213 |
| Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol.9, No.2, pp.287-297 (2006) |
Abstract
A quantum central limit theorem for a continuous-time quantum walk on a homogeneous tree is derived from quantum probability theory. As a consequence, a new type of limit theorems for another continuous-time walk introduced by the walk is presented. The limit density is similar to that given by a continuous-time quantum walk on the one-dimensional lattice.
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"abstract": "A quantum central limit theorem for a continuous-time quantum walk on a\nhomogeneous tree is derived from quantum probability theory. As a consequence,\na new type of limit theorems for another continuous-time walk introduced by the\nwalk is presented. The limit density is similar to that given by a\ncontinuous-time quantum walk on the one-dimensional lattice.",
"arxiv_id": "quant-ph/0602213",
"authors": [
"Norio Konno"
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"journal_ref": "Infinite Dimensional Analysis, Quantum Probability and Related\n Topics, Vol.9, No.2, pp.287-297 (2006)",
"title": "Continuous-Time Quantum Walks on Trees in Quantum Probability Theory",
"url": "https://arxiv.org/abs/quant-ph/0602213"
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