Iblisdir, SofyanLatorre, José IgnacioOrús Lacort, Román2019-07-222019-07-222007-02-060031-9007https://hdl.handle.net/2445/137819An 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 ν = 1 . Also, for a filling fraction ν = 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 ν = 1 , this representation is shown to be asymptotically optimal in the limit of a large number of particles.4 p.application/pdfeng(c) American Physical Society, 2007Física de partículesEntropiaParticle physicsEntropyEntropy and Exact Matrix-Product Representation of the Laughlin Wave Functioninfo:eu-repo/semantics/article5928502019-07-22info:eu-repo/semantics/openAccess