dorsal/arxiv
View SchemaGroup Theoretical Formulation of Quantum Partial Search Algorithm
| Authors | Vladimir E. Korepin, Brenno C. Vallilo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609205 |
| URL | https://arxiv.org/abs/quant-ph/0609205 |
| DOI | 10.1143/PTP.116.783 |
| Journal | Prog. Theor. Phys. Vol. 116, No. 5 (2006), p. 783 |
Abstract
Searching and sorting used as a subroutine in many important algorithms. Quantum algorithm can find a target item in a database faster than any classical algorithm. One can trade accuracy for speed and find a part of the database (a block) containing the target item even faster, this is partial search. An example is the following: exact address of the target item is given by a sequence of many bits, but we need to know only some of them. More generally partial search considers the following problem: a database is separated into several blocks. We want to find a block with the target item, not the target item itself. In this paper we reformulate quantum partial search algorithm in terms of group theory.
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"abstract": "Searching and sorting used as a subroutine in many important algorithms.\nQuantum algorithm can find a target item in a database faster than any\nclassical algorithm. One can trade accuracy for speed and find a part of the\ndatabase (a block) containing the target item even faster, this is partial\nsearch. An example is the following: exact address of the target item is given\nby a sequence of many bits, but we need to know only some of them. More\ngenerally partial search considers the following problem: a database is\nseparated into several blocks. We want to find a block with the target item,\nnot the target item itself. In this paper we reformulate quantum partial search\nalgorithm in terms of group theory.",
"arxiv_id": "quant-ph/0609205",
"authors": [
"Vladimir E. Korepin",
"Brenno C. Vallilo"
],
"categories": [
"quant-ph",
"cs.DS",
"math.GR"
],
"doi": "10.1143/PTP.116.783",
"journal_ref": "Prog. Theor. Phys. Vol. 116, No. 5 (2006), p. 783",
"title": "Group Theoretical Formulation of Quantum Partial Search Algorithm",
"url": "https://arxiv.org/abs/quant-ph/0609205"
},
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