Sciweavers

Share
SODA
2003
ACM

Quantum algorithms for some hidden shift problems

9 years 2 months ago
Quantum algorithms for some hidden shift problems
Almost all of the most successful quantum algorithms discovered to date exploit the ability of the Fourier transform to recover subgroup structure of functions, especially periodicity. The fact that Fourier transforms can also be used to capture shift structure has received far less attention in the context of quantum computation. In this paper, we present three examples of “unknown shift” problems that can be solved efficiently on a quantum computer using the quantum Fourier transform. We also define the hidden coset problem, which generalizes the hidden shift problem and the hidden subgroup problem. This framework provides a unified way of viewing the ability of the Fourier transform to capture subgroup and shift structure.
Wim van Dam, Sean Hallgren, Lawrence Ip
Added 01 Nov 2010
Updated 01 Nov 2010
Type Conference
Year 2003
Where SODA
Authors Wim van Dam, Sean Hallgren, Lawrence Ip
Comments (0)
books