Numerical Computation of Localizable Entanglement in Spin Chains

Research paper by M. Popp, F. Verstraete, M.A. Martin-Delgado, I. Cirac

Indexed on: 23 Dec '05Published on: 23 Dec '05Published in: Applied Physics B


We present an introduction to the concept of localizable entanglement (LE) with special focus on its numerical computation. LE is an entanglement measure for multipartite systems, which leads naturally to notions like entanglement length and entanglement fluctuations. After briefly reviewing basic properties of LE we present a scheme for the numerical calculation of LE. It is based on the matrix-product state representation of many-body quantum states and the Monte Carlo method. It can be applied both to pure and mixed states. Using this method we calculate the LE of ground and thermal states for various spin systems.