Publications (14)
Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
J. Jordan, R. Orus, G. Vidal +2
We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the {\em projected entangled-pair state} algorithm fo…
A tensor network annealing algorithm for two-dimensional thermal states
A. Kshetrimayum, M. Rizzi, J. Eisert +1
Tensor network methods have become a powerful class of tools to capture strongly correlated matter, but methods to capture the experimentally ubiquitous family of models at finite…
Breakdown of a perturbed Z_N topological phase
M. D. Schulz, S. Dusuel, R. Orus +2
We study the robustness of a generalized Kitaev's toric code with Z_N degrees of freedom in the presence of local perturbations. For N=2, this model reduces to the conventional tor…
Implementing global Abelian symmetries in projected entangled-pair state algorithms
B. Bauer, P. Corboz, R. Orus +1
Due to the unfavorable scaling of tensor network methods with the refinement parameter M, new approaches are necessary to improve the efficiency of numerical simulations based on s…
Matrix Product States Algorithms and Continuous Systems
S. Iblisdir, R. Orus, J. I. Latorre
A generic method to investigate many-body continuous-variable systems is pedagogically presented. It is based on the notion of matrix product states (so-called MPS) and the algorit…
Entropy and Exact Matrix Product Representation of the Laughlin Wave Function
S. Iblisdir, J. I. Latorre, R. Orus
An analytical expression for the von Neumann entropy of the Laughlin wave function is obtained for any possible bipartition between the particles described by this wave function, f…
Half the entanglement in critical systems is distillable from a single specimen
R. Orus, J. I. Latorre, J. Eisert +1
We establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a g…
Simulation of many-qubit quantum computation with matrix product states
M. C. Banuls, R. Orus, J. I. Latorre +2
Matrix product states provide a natural entanglement basis to represent a quantum register and operate quantum gates on it. This scheme can be materialized to simulate a quantum ad…
Bounds on universal quantum computation with perturbed 2d cluster states
R. Orus, H. Kalis, M. Bornemann +1
Motivated by the possibility of universal quantum computation under noise perturbations, we compute the phase diagram of the 2d cluster state Hamiltonian in the presence of Ising t…
Robustness of a perturbed topological phase
S. Dusuel, M. Kamfor, R. Orus +2
We investigate the stability of the topological phase of the toric code model in the presence of a uniform magnetic field by means of variational and high-order series expansion ap…
Entanglement Continuous Unitary Transformations
S. Sahin, K. P. Schmidt, R. Orus
Continuous unitary transformations are a powerful tool to extract valuable information out of quantum many-body Hamiltonians, in which the so-called flow equation transforms the Ha…
Fate of the cluster state on the square lattice in a magnetic field
H. Kalis, D. Klagges, R. Orus +1
The cluster state represents a highly entangled state which is one central object for measurement-based quantum computing. Here we study the robustness of the cluster state on the…
Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
R. Orus, S. Dusuel, J. Vidal
We establish a relation between several entanglement properties in the Lipkin-Meshkov-Glick model, which is a system of mutually interacting spins embedded in a magnetic field. We…
Entanglement entropy in the Lipkin-Meshkov-Glick model
J. I. Latorre, R. Orus, E. Rico +1
We analyze the entanglement entropy in the Lipkin-Meshkov-Glick model, which describes mutually interacting spins half embedded in a magnetic field. This entropy displays a singula…