32.10.+c Communication over noisy channels

Matrix product states with long-range localizable entanglement

Mon, 2013-02-11 16:39 - Mattia Giardini

Date:

2012-12-14

Author(s):

T. B. Wahl, D. Pérez-García, and J. I. Cirac

Reference:

URL: http://link.aps.org/doi/10.1103/PhysRevA.86.062314
DOI: 10.1103/PhysRevA.86.062314
PACS: 03.67.Mn, 03.65.Ud, 75.10.Pq, 71.10.Hf

We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the thermodynamic limit. We give examples fulfilling this criterion and eventually use it to obtain all such MPS with bond dimension 2 and 3.