From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups

We approach the hidden subgroup problem by performing the so-called pretty good measurement on hidden subgroup states. For various groups that can be expressed as the semidirect product of an abelian group and a cyclic group, we show that the pretty good measurement is optimal and that its probabili...

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Bibliographic Details

Published in:	46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05) pp. 469 - 478
Main Authors:	Bacon, D., Childs, A.M., van Dam, W.
Format:	Conference Proceeding
Language:	English
Published:	IEEE 2005
Subjects:	Computer science Fourier transforms Lattices Particle measurements Performance evaluation Physics Polynomials Quantum computing Quantum mechanics State estimation
ISBN:	0769524680, 9780769524689
ISSN:	0272-5428
Online Access:	Get full text
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