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37

FOCS
2002
IEEE

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Quantum Computation and Lattice Problems

14 years 3 months ago

Quantum Computation and Lattice Problems

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We present the ﬁrst explicit connection between quantum computation and lattice problems. Namely, our main result is a solution to the Unique Shortest Vector Problem (SVP) under the assumption that there exists an algorithm that solves the hidden subgroup problem on the dihedral group by coset sampling. Additionally, we present an approach to solving the hidden subgroup problem on the dihedral group by using an average case subset sum routine. Key words. lattices, quantum computation, shortest vector problem, hidden subgroup problem AMS subject classiﬁcations. 81P68, 68Q25, 68W25, 11H06

Oded Regev

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FOCS 2002 | Hidden Subgroup Problem | Quantum Computation | Shortest Vector Problem | Theoretical Computer Science |

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Added	14 Jul 2010
Updated	14 Jul 2010
Type	Conference
Year	2002
Where	FOCS
Authors	Oded Regev

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