PROJECTED ENTANGLED STATES: PROPERTIES AND APPLICATIONS
Frank Verstraete, Michael M. Wolf, David Pérez-Garcı́a, J. I. Cirac · International Journal of Modern Physics B · 2006
We present a new characterization of quantum states, what we call Projected Entangled-Pair States (PEPS). This characterization is based on constructing pairs of maximally entangled states in a Hilbert space of dimension D2, and then projecting those states in subspaces of dimension d. In one dimension, one recovers the familiar matrix product states, whereas in higher dimensions this procedure gives rise to other interesting states. We have used this new parametrization to construct numerical algorithms to simulate the ground state properties and dynamics of certain quantum-many body systems in two dimensions.