The Hidden Subgroup Problem - Review and Open Problems

Details The Hidden Subgroup Problem - Review and Open Problems The Hidden Subgroup Problem - Review and Open Problems

2004-11-04

arxiv.org/abs/quant-ph/0411037v1

Physics

Quantum Physics

A thorough introduction to the HSP, with detailed proofs for many results, and an overview of the research literature through

Scientific paper

An overview of quantum computing and in particular the Hidden Subgroup Problem are presented from a mathematical viewpoint. Detailed proofs are supplied for many important results from the literature, and notation is unified, making it easier to absorb the background necessary to begin research on the Hidden Subgroup Problem. Proofs are provided which give very concrete algorithms and bounds for the finite abelian case with little outside references, and future directions are provided for the nonabelian case. This summary is current as of October 2004.

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