2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/30574The clock synchronization problem is to determine the time difference T between two spatially separated parties. We improve on I. Chuang's quantum clock synchronization algorithm and show that it is possible to obtain T to n bits of accuracy while communicating only one qubit in one direction and using an O(2^n) frequency range. We also prove a quantum lower bound of Ω(2^n) for the product of the transmitted qubits and the range of frequencies, thus showing that our algorithm is optimal.LaTeX, 5 pagesComputational ComplexityQuantum PhysicsF.2text