title: Entropy and exact matrix-product representation of the Laughlin wave function.
abstract: An analytical expression for the von Neumann entropy of the Laughlin wave function is obtained for any possible bipartition between the particles described by this wave function, for a filling fraction nu=1. Also, for a filling fraction nu=1/m, where m is an odd integer, an upper bound on this entropy is exhibited. These results yield a bound on the smallest possible size of the matrices for an exact representation of the Laughlin ansatz in terms of a matrix-product state. An analytical matrix-product state representation of this state is proposed in terms of representations of the Clifford algebra. For nu=1, this representation is shown to be asymptotically optimal in the limit of a large number of particles.
authors.affiliation: Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, 647 Diagonal, 08028 Barcelona, Spain.
authors.forename: S
authors.initials: S
authors.lastname: Iblisdir
authors.forename: J I
authors.initials: JI
authors.lastname: Latorre
authors.forename: R
authors.initials: R
authors.lastname: Orús