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quant-ph2005★ 138 cited
From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups
Dave Bacon, Andrew M. Childs, Wim van Dam
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 pr…
quant-ph2004★ 169 cited
Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms
Dave Bacon, Isaac Chuang, Aram Harrow
The Schur basis on n d-dimensional quantum systems is a generalization of the total angular momentum basis that is useful for exploiting symmetry under permutations or collective u…