title: Class of highly entangled many-body states that can be efficiently simulated.
abstract: We describe a quantum circuit that produces a highly entangled state of N qubits from which one can efficiently compute expectation values of local observables. This construction yields a variational ansatz for quantum many-body states that can be regarded as a generalization of the multiscale entanglement renormalization ansatz (MERA), which we refer to as the branching MERA. In a lattice system in D dimensions, the scaling of entanglement of a region of size L(D) in the branching MERA is not subject to restrictions such as a boundary law L(D-1), but can be proportional to the size of the region, as we demonstrate numerically.
authors.affiliation: Institute for Quantum Information and Matter, California Institute of Technology, MC 305-16, Pasadena, California 91125, USA.
authors.forename: G
authors.initials: G
authors.lastname: Evenbly
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
authors.forename: G
authors.initials: G
authors.lastname: Vidal