dorsal/arxiv
View SchemaContinuous-time Quantum Walks on a Cycle Graph
| Authors | Dmitry Solenov, Leonid Fedichkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506096 |
| URL | https://arxiv.org/abs/quant-ph/0506096 |
| DOI | 10.1103/PhysRevA.73.012313 |
| Journal | Phys. Rev. A 73, 012313 (2006) |
Abstract
We present analytical treatment of quantum walks on a cycle graph. The investigation is based on a realistic physical model of the graph in which decoherence is induced by continuous monitoring of each graph vertex with nearby quantum point contact. We derive the analytical expression of the probability distribution along the cycle. Upper bound estimate to mixing time is shown.
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"abstract": "We present analytical treatment of quantum walks on a cycle graph. The\ninvestigation is based on a realistic physical model of the graph in which\ndecoherence is induced by continuous monitoring of each graph vertex with\nnearby quantum point contact. We derive the analytical expression of the\nprobability distribution along the cycle. Upper bound estimate to mixing time\nis shown.",
"arxiv_id": "quant-ph/0506096",
"authors": [
"Dmitry Solenov",
"Leonid Fedichkin"
],
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"doi": "10.1103/PhysRevA.73.012313",
"journal_ref": "Phys. Rev. A 73, 012313 (2006)",
"title": "Continuous-time Quantum Walks on a Cycle Graph",
"url": "https://arxiv.org/abs/quant-ph/0506096"
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