dorsal/arxiv
View SchemaQuantum Random Walks Hit Exponentially Faster
| Authors | Julia Kempe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205083 |
| URL | https://arxiv.org/abs/quant-ph/0205083 |
| Journal | Probability Theory and Related Fields, Vol. 133(2), p. 215-235 (2005), conference version in Proc. 7th RANDOM, p. 354-69, 2003 |
Abstract
We show that the hitting time of the discrete time quantum random walk on the n-bit hypercube from one corner to its opposite is polynomial in n. This gives the first exponential quantum-classical gap in the hitting time of discrete quantum random walks. We provide the framework for quantum hitting time and give two alternative definitions to set the ground for its study on general graphs. We then give an application to random routing.
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"abstract": "We show that the hitting time of the discrete time quantum random walk on the\nn-bit hypercube from one corner to its opposite is polynomial in n. This gives\nthe first exponential quantum-classical gap in the hitting time of discrete\nquantum random walks. We provide the framework for quantum hitting time and\ngive two alternative definitions to set the ground for its study on general\ngraphs. We then give an application to random routing.",
"arxiv_id": "quant-ph/0205083",
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"journal_ref": "Probability Theory and Related Fields, Vol. 133(2), p. 215-235\n (2005), conference version in Proc. 7th RANDOM, p. 354-69, 2003",
"title": "Quantum Random Walks Hit Exponentially Faster",
"url": "https://arxiv.org/abs/quant-ph/0205083"
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