Efficient Quantum Algorithms for Shifted Quadratic Character Problems

Details Efficient Quantum Algorithms for Shifted Quadratic Character Problems Efficient Quantum Algorithms for Shifted Quadratic Character Problems

2000-11-15

arxiv.org/abs/quant-ph/0011067v2

Physics

Quantum Physics

LaTeX2e, 15 pages

Scientific paper

We introduce the Shifted Legendre Symbol Problem and some variants along with efficient quantum algorithms to solve them. The problems and their algorithms are different from previous work on quantum computation in that they do not appear to fit into the framework of the Hidden Subgroup Problem. The classical complexity of the problem is unknown despite the various results on the irregularity of Legendre Sequences.

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