265 citations · 766 across the 9 of their papers we have counts for
5 papers · 1 filter
Tensor network states and algorithms in the presence of a global SU(2) symmetry
Sukhwinder Singh, Guifre Vidal
The benefits of exploiting the presence of symmetries in tensor network algorithms have been extensively demonstrated in the context of matrix product states (MPSs). These include…
Characterizing topological order by studying the ground states of an infinite cylinder
Lukasz Cincio, Guifre Vidal
Given a microscopic lattice Hamiltonian for a topologically ordered phase, we describe a tensor network approach to characterize its emergent anyon model and, in a chiral phase, al…
Boundary quantum critical phenomena with entanglement renormalization
G. Evenbly, R. N. C. Pfeifer, V. Pico +4
We extend the formalism of entanglement renormalization to the study of boundary critical phenomena. The multi-scale entanglement renormalization ansatz (MERA), in its scale invari…
Non-local scaling operators with entanglement renormalization
G. Evenbly, P. Corboz, G. Vidal
The multi-scale entanglement renormalization ansatz (MERA) can be used, in its scale invariant version, to describe the ground state of a lattice system at a quantum critical point…
Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law
L. Tagliacozzo, G. Evenbly, G. Vidal
This work explores the use of a tree tensor network ansatz to simulate the ground state of a local Hamiltonian on a two-dimensional lattice. By exploiting the entropic area law, th…