title: Algorithmic cooling in a momentum state quantum computer.
abstract: We describe a quantum computer based upon the coherent manipulation of two-level atoms between discrete one-dimensional momentum states. Combinations of short laser pulses with kinetic energy dependent free phase evolution can perform the logical invert, exchange, controlled-NOT, and Hadamard operations on any qubits in the binary representation of the momentum state, as well as conditional phase inversion. These allow a binary right rotation, which halves the momentum distribution in a single coherent process. Fields for the coherent control of atomic momenta may thus be designed as quantum algorithms.
authors.affiliation: Department of Physics and Astronomy, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom. tim.freegarde@physics.org
authors.forename: Tim
authors.initials: T
authors.lastname: Freegarde
authors.forename: Danny
authors.initials: D
authors.lastname: Segal