title: Multiscale entanglement renormalization ansatz in two dimensions: quantum Ising model.
abstract: We propose a symmetric version of the multiscale entanglement renormalization ansatz in two spatial dimensions (2D) and use this ansatz to find an unknown ground state of a 2D quantum system. Results in the simple 2D quantum Ising model on the 8x8 square lattice are found to be very accurate even with the smallest nontrivial truncation parameter.
authors.affiliation: Institute of Physics and Centre for Complex Systems Research, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland.
authors.forename: Lukasz
authors.initials: L
authors.lastname: Cincio
authors.forename: Jacek
authors.initials: J
authors.lastname: Dziarmaga
authors.forename: Marek M
authors.initials: MM
authors.lastname: Rams