dorsal/arxiv
View SchemaDistributions of continuous-time quantum walks
| Authors | Arvid J. Bessen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609128 |
| URL | https://arxiv.org/abs/quant-ph/0609128 |
Abstract
We study the distributions of the continuous-time quantum walk on a one-dimensional lattice. In particular we will consider walks on unbounded lattices, walks with one and two boundaries and Dirichlet boundary conditions, and walks with periodic boundary conditions. We will prove that all continuous-time quantum walks can be written as a series of Bessel functions of the first kind and show how to approximate these series.
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"abstract": "We study the distributions of the continuous-time quantum walk on a\none-dimensional lattice. In particular we will consider walks on unbounded\nlattices, walks with one and two boundaries and Dirichlet boundary conditions,\nand walks with periodic boundary conditions. We will prove that all\ncontinuous-time quantum walks can be written as a series of Bessel functions of\nthe first kind and show how to approximate these series.",
"arxiv_id": "quant-ph/0609128",
"authors": [
"Arvid J. Bessen"
],
"categories": [
"quant-ph"
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"title": "Distributions of continuous-time quantum walks",
"url": "https://arxiv.org/abs/quant-ph/0609128"
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