2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93506An unstructured search for one item out of N can be performed quantum mechanically in time of order square root of N whereas classically this requires of order N steps. This raises the question of whether square root speedup persists in problems with more structure. In this note we focus on one example of a structured problem and find a quantum algorithm which takes time of order the square root of the classical time.6 pages, REVTeX; correspondence to farhi@mitlns.mit.eduQuantum PhysicsQuantum Mechanical Square Root Speedup in a Structured Search Problemtext