dorsal/arxiv
View SchemaA Framework for Structured Quantum Search
| Authors | Tad Hogg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9701013 |
| URL | https://arxiv.org/abs/quant-ph/9701013 |
| DOI | 10.1016/S0167-2789(98)00047-5 |
| Journal | Physica D120 (1998) 102-116 |
Abstract
A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to the underlying structure of abstract search spaces, and is analytically simpler than previous structured search methods. The algorithm is evaluated empirically with a variety of search problems, and shown to be particularly effective for searches with many constraints. Furthermore, the algorithm provides a simple framework for utilizing search heuristics. It also exhibits the same phase transition in search difficulty as found for sophisticated classical search methods, indicating it is effectively using the problem structure.
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"abstract": "A quantum algorithm for general combinatorial search that uses the underlying\nstructure of the search space to increase the probability of finding a solution\nis presented. This algorithm shows how coherent quantum systems can be matched\nto the underlying structure of abstract search spaces, and is analytically\nsimpler than previous structured search methods. The algorithm is evaluated\nempirically with a variety of search problems, and shown to be particularly\neffective for searches with many constraints. Furthermore, the algorithm\nprovides a simple framework for utilizing search heuristics. It also exhibits\nthe same phase transition in search difficulty as found for sophisticated\nclassical search methods, indicating it is effectively using the problem\nstructure.",
"arxiv_id": "quant-ph/9701013",
"authors": [
"Tad Hogg"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0167-2789(98)00047-5",
"journal_ref": "Physica D120 (1998) 102-116",
"title": "A Framework for Structured Quantum Search",
"url": "https://arxiv.org/abs/quant-ph/9701013"
},
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