dorsal/arxiv
View SchemaScattering model for quantum random walk on the hypercube
| Authors | Jozef Košík, Vladimír Bužek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410154 |
| URL | https://arxiv.org/abs/quant-ph/0410154 |
| DOI | 10.1103/PhysRevA.71.012306 |
Abstract
We elaborate on a model of quantum random walk proposed by Hillery et. al., and Jeong et. al., which uses the multiports for quantum "coin tossing". The dynamics of this model is analyzed for the case when the multiports are arranged on the hypercube. If the hypercube is attached to semi-infinite lines, then it can act as a scattering potential, which can be reduced to a quantum walk on the line with non-unitary evolution. We also show how this model can be implemented using simple quantum gates.
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"abstract": "We elaborate on a model of quantum random walk proposed by Hillery et. al.,\nand Jeong et. al., which uses the multiports for quantum \"coin tossing\". The\ndynamics of this model is analyzed for the case when the multiports are\narranged on the hypercube. If the hypercube is attached to semi-infinite lines,\nthen it can act as a scattering potential, which can be reduced to a quantum\nwalk on the line with non-unitary evolution. We also show how this model can be\nimplemented using simple quantum gates.",
"arxiv_id": "quant-ph/0410154",
"authors": [
"Jozef Ko\u0161\u00edk",
"Vladim\u00edr Bu\u017eek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012306",
"title": "Scattering model for quantum random walk on the hypercube",
"url": "https://arxiv.org/abs/quant-ph/0410154"
},
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"type": "Model",
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