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A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

- R. Orús
- Physics, Computer Science
- 10 June 2013

This is a partly non-technical introduction to selected topics on tensor network methods, based on several lectures and introductory seminars given on the subject. It should be a good place for… Expand

Classical simulation of infinite-size quantum lattice systems in two spatial dimensions.

- J. Jordan, R. Orús, G. Vidal, F. Verstraete, J. Cirac
- Physics, MedicinePhysical review letters
- 29 March 2007

TLDR

Infinite time-evolving block decimation algorithm beyond unitary evolution

The infinite time-evolving block decimation algorithm [G. Vidal, Phys. Rev. Lett. 98, 070201 (2007)] allows to simulate unitary evolution and to compute the ground state of one-dimensional (1D)… Expand

Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states

We explain how to implement, in the context of projected entangled-pair states (PEPSs), the general procedure of fermionization of a tensor network introduced in P. Corboz and G. Vidal, Phys. Rev. B… Expand

Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction

An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as the iPEPS algorithm, was recently proposed to compute the ground state of quantum systems on an… Expand

Robustness of a perturbed topological phase.

- S. Dusuel, M. Kamfor, R. Orús, K. Schmidt, J. Vidal
- Physics, MedicinePhysical review letters
- 8 December 2010

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 approaches. We find… Expand

Infinite projected entangled pair states algorithm improved: Fast full update and gauge fixing

- H. N. Phien, Johann A. Bengua, H. Tuan, P. Corboz, R. Orús
- Physics
- 24 July 2015

The infinite projected entangled pair states (iPEPS) algorithm [J. Jordan et al., Phys. Rev. Lett. 101, 250602 (2008)] has become a useful tool in the calculation of ground-state properties of… Expand

Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems

- R. Orús
- Physics
- 18 December 2011

In this paper we explore the practical use of the corner transfer matrix and its higher-dimensional generalization, the corner tensor, to develop tensor network algorithms for the classical… Expand

Entanglement entropy in the Lipkin-Meshkov-Glick model (4 pages)

- J. Latorre, R. Orús, E. Rico, J. Vidal
- Physics
- 23 September 2004

We analyze the entanglement entropy in the Lipkin-Meshkov-Glick model, which describes mutually interacting spin 1/2 embedded in a magnetic field. This entropy displays a singularity at the critical… Expand

Tensor networks for complex quantum systems

- R. Orús
- Physics, Computer ScienceNature Reviews Physics
- 10 December 2018

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