Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

The theory of quantum computation can be constructed from the abstract study of anyonic
systems. In mathematical terms, these are unitary topological modular functors. They …

We study the spin-1/2 Heisenberg model on the square lattice with first-and second-
neighbor antiferromagnetic interactions J 1 and J 2, which possesses a nonmagnetic region …

The most general method for encoding quantum information is not to encode the information
into a subspace of a Hilbert space, but to encode information into a subsystem of a Hilbert …

We study an antiferromagnetic spin-1/2 model with up to third nearest-neighbor couplings
on the Kagome lattice in the easy-axis limit, and show that its low-energy dynamics are …

We introduce quantum dimer models on lattices made of corner-sharing triangles. These
lattices include the kagome lattice and can be defined in arbitrary geometry. They realize …

We consider insulating phases of cold spin-1 bosonic particles with antiferromagnetic
interactions, such as 23 Na, in optical lattices. We show that spin-exchange interactions give …

We study the stability of topological order against local perturbations by considering the
effect of a magnetic field on a spin model—the toric code—which is in a topological phase …

We describe a class of parity-and time-reversal-invariant topological states of matter which
can arise in correlated electron systems in 2+ 1-dimensions. These states are characterized …

We study resonating valence bond (RVB) states in the projected entangled pair states
(PEPS) formalism. Based on symmetries in the PEPS description, we establish relations …