dorsal/arxiv
View SchemaAbsorption problems for quantum walks in one dimension
| Authors | Norio Konno, Takao Namiki, Takahiro Soshi, Aidan Sudbury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208122 |
| URL | https://arxiv.org/abs/quant-ph/0208122 |
| DOI | 10.1088/0305-4470/36/1/316 |
| Journal | J. Phys. A: Math. Gen., Vol. 36, No.1, pp.241-253 (2003) |
Abstract
This paper treats absorption problems for the one-dimensional quantum walk determined by a 2 times 2 unitary matrix U on a state space {0,1,...,N} where N is finite or infinite by using a new path integral approach based on an orthonormal basis P, Q, R and S of the vector space of complex 2 times 2 matrices. Our method studied here is a natural extension of the approach in the classical random walk.
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"abstract": "This paper treats absorption problems for the one-dimensional quantum walk\ndetermined by a 2 times 2 unitary matrix U on a state space {0,1,...,N} where N\nis finite or infinite by using a new path integral approach based on an\northonormal basis P, Q, R and S of the vector space of complex 2 times 2\nmatrices. Our method studied here is a natural extension of the approach in the\nclassical random walk.",
"arxiv_id": "quant-ph/0208122",
"authors": [
"Norio Konno",
"Takao Namiki",
"Takahiro Soshi",
"Aidan Sudbury"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/1/316",
"journal_ref": "J. Phys. A: Math. Gen., Vol. 36, No.1, pp.241-253 (2003)",
"title": "Absorption problems for quantum walks in one dimension",
"url": "https://arxiv.org/abs/quant-ph/0208122"
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