We present and solve a restricted Abelian hidden subgroup problem using the adiabatic quantum-computing paradigm. The time step complexity is shown to be a polynomial in the number of input qubits. This paper is a step towards looking at the Abelian hidden subgroup problem from a quantum adiabatic standpoint. © 2003 The American Physical Society.

M. V. Panduranga Rao

Department of Computer Science and Engineering

Indian Institute of Technology Hyderabad (IITH) is a premier institute of science and technology established in 2008. IITH has been consistently ranked in the&nbsp;<a href="https://iith.ac.in/reports/" rel="noopener noreferrer">top 10 institutes</a>&nbsp;in India for Engineering&nbsp;<a href="https://www.nirfindia.org/2021/EngineeringRanking.html" rel="noopener noreferrer" target="_blank">according to NIRF</a>&nbsp;making it one of the most coveted schools for science and technology in the country.

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Journal	Physical Review A - Atomic, Molecular, and Optical Physics
ISSN	10502947