title: Quantum pattern retrieval by qubit networks with Hebb interactions.
abstract: Qubit networks with long-range interactions inspired by the Hebb rule can be used as quantum associative memories. Starting from a uniform superposition, the unitary evolution generated by these interactions drives the network through a quantum phase transition at a critical computation time, after which ferromagnetic order guarantees that a measurement retrieves the stored pattern. The maximum memory capacity of these qubit networks is reached at a memory density alpha=p/n=1.
authors.affiliation: INFN and Dipartimento di Fisica, University of Perugia, via A. Pascoli, I-06100 Perugia, Italy. cristina.diamantini@pg.infn.it
authors.forename: M Cristina
authors.initials: MC
authors.lastname: Diamantini
authors.forename: Carlo A
authors.initials: CA
authors.lastname: Trugenberger