title: Quantum walk on a line for a trapped ion.
abstract: We show that a multistep quantum walk can be realized for a single trapped ion with an interpolation between a quantum and random walk achieved by randomizing the generalized Hadamard coin flip phase. The signature of the quantum walk is manifested not only in the ion's position but also in its phonon number, which makes an ion-trap implementation of the quantum walk feasible.
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, People's Republic of China.
authors.forename: Peng
authors.initials: P
authors.lastname: Xue
authors.forename: Barry C
authors.initials: BC
authors.lastname: Sanders
authors.forename: Dietrich
authors.initials: D
authors.lastname: Leibfried