title: Trapped ion chain as a neural network: error resistant quantum computation.
abstract: We demonstrate the possibility of realizing a neural network in a chain of trapped ions with induced long range interactions. Such models permit one to store information distributed over the whole system. The storage capacity of such a network, which depends on the phonon spectrum of the system, can be controlled by changing the external trapping potential. We analyze the implementation of error resistant universal quantum information processing in such systems.
authors.affiliation: Departamento de Física Aplicada I, Universidad del País Vasco, 20600 Eibar, Spain.
authors.forename: Marisa
authors.initials: M
authors.lastname: Pons
authors.forename: Veronica
authors.initials: V
authors.lastname: Ahufinger
authors.forename: Christof
authors.initials: C
authors.lastname: Wunderlich
authors.forename: Anna
authors.initials: A
authors.lastname: Sanpera
authors.forename: Sibylle
authors.initials: S
authors.lastname: Braungardt
authors.forename: Aditi
authors.initials: A
authors.lastname: Sen De
authors.forename: Ujjwal
authors.initials: U
authors.lastname: Sen
authors.forename: Maciej
authors.initials: M
authors.lastname: Lewenstein