List of works - Roman Orus

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

scientific article from 2014

A simple tensor network algorithm for two-dimensional steady states

scientific article published on 3 November 2017

Adiabatic quantum computation and quantum phase transitions

scientific article published on 2 June 2004

Advances on tensor network theory: symmetries, fermions, entanglement, and holography ⬇️

All spin-1 topological phases in a single spin-2 chain ⬇️

scholarly article in Physical Review B, vol. 91 no. 20, May 2015

Bounds on universal quantum computation with perturbed two-dimensional cluster states

scholarly article by Roman Orus et al published 11 June 2013 in Physical Review A

Breakdown of a perturbed $\boldsymbol{\mathbbm{Z}}_N$ topological phase

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

scientific article published on 18 December 2008

Effective field theory for the SO(n) bilinear-biquadratic spin chain

scientific article published on 9 August 2011

Entanglement and SU(n) symmetry in one-dimensional valence-bond solid states

scholarly article in Physical Review B, vol. 83 no. 20, May 2011

Entanglement and majorization in (1+1)-dimensional quantum systems

Entanglement continuous unitary transformations ⬇️

Entanglement entropy in the Lipkin-Meshkov-Glick model

article

Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function

scientific article published in Physical Review Letters

Equivalence of Critical Scaling Laws for Many-Body Entanglement in the Lipkin-Meshkov-Glick Model

scientific article published in Physical Review Letters

Erratum: Entanglement and majorization in (1+1)-dimensional quantum systems [Phys. Rev. A71, 052327 (2005)]

scholarly article published in Physical Review A

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

scholarly article in Physical Review B, vol. 85 no. 20, May 2012

Fate of the cluster state on the square lattice in a magnetic field

Finite-size geometric entanglement from tensor network algorithms

scientific article

First order phase transition in the anisotropic quantum orbital compass model

scientific article published on 19 February 2009

Geometric entanglement in a one-dimensional valence-bond solid state

Geometric entanglement in topologically ordered states

Holographic encoding of universality in corner spectra

scholarly article in Physical Review B, vol. 95 no. 19, May 2017

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

scholarly article in Physical Review B, vol. 92 no. 3, July 2015

Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy

scholarly article in Physical Review B, vol. 84 no. 14, October 2011

Kitaev honeycomb tensor networks: Exact unitary circuits and applications ⬇️

scholarly article in Physical Review B, vol. 95 no. 4, January 2017

Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice

article

Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement

scholarly article in Physical Review B, vol. 84 no. 6, August 2011

Quantum phase transitions in antiferromagnetic planar cubic lattices

Robustness of a Perturbed Topological Phase

scientific article published in Physical Review Letters

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

scholarly article in Physical Review B, vol. 81 no. 16, April 2010

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

scholarly article in Physical Review B, vol. 80 no. 9, September 2009

Spin-1/2 kagome XXZ model in a field: Competition between lattice nematic and solid orders ⬇️

article

Spin-Skagome quantum antiferromagnets in a field with tensor networks ⬇️

scholarly article in Physical Review B, vol. 93 no. 6, February 2016

Symmetry-protected intermediate trivial phases in quantum spin chains ⬇️

scholarly article in Physical Review B, vol. 93 no. 24, June 2016

Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry ⬇️

scholarly article in Physical Review B, vol. 94 no. 20, November 2016

Tensor Network Annealing Algorithm for Two-Dimensional Thermal States

scientific article published on 01 February 2019

Tensor network simulation of QED on infinite lattices: Learning from (1+1) d , and prospects for (2+1) d

scholarly article

Topological minimally entangled states via geometric measure ⬇️

article published in 2014

Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization ⬇️

scientific article published on 19 December 2014

Universal Geometric Entanglement Close to Quantum Phase Transitions

scientific article published in Physical Review Letters

Universality of entanglement and quantum-computation complexity

scientific article published on 12 May 2004

Visualizing elusive phase transitions with geometric entanglement

scholarly article by Roman Orus & Tzu-Chieh Wei published 13 October 2010 in Physical Review B

List of works by Roman Orus

A practical introduction to tensor networks: Matrix product states and projected entangled pair states

A simple tensor network algorithm for two-dimensional steady states

Adiabatic quantum computation and quantum phase transitions

Advances on tensor network theory: symmetries, fermions, entanglement, and holography ⬇️

All spin-1 topological phases in a single spin-2 chain ⬇️

Bounds on universal quantum computation with perturbed two-dimensional cluster states

Breakdown of a perturbed $\boldsymbol{\mathbbm{Z}}_N$ topological phase

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

Effective field theory for the SO(n) bilinear-biquadratic spin chain

Entanglement and SU(n) symmetry in one-dimensional valence-bond solid states

Entanglement and majorization in (1+1)-dimensional quantum systems

Entanglement continuous unitary transformations ⬇️

Entanglement entropy in the Lipkin-Meshkov-Glick model

Entropy and Exact Matrix-Product Representation of the Laughlin Wave Function

Equivalence of Critical Scaling Laws for Many-Body Entanglement in the Lipkin-Meshkov-Glick Model

Erratum: Entanglement and majorization in (1+1)-dimensional quantum systems [Phys. Rev. A71, 052327 (2005)]

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

Fate of the cluster state on the square lattice in a magnetic field

Finite-size geometric entanglement from tensor network algorithms

First order phase transition in the anisotropic quantum orbital compass model

Geometric entanglement in a one-dimensional valence-bond solid state

Geometric entanglement in topologically ordered states

Holographic encoding of universality in corner spectra

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

Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy

Kitaev honeycomb tensor networks: Exact unitary circuits and applications ⬇️

Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice

Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement

Quantum phase transitions in antiferromagnetic planar cubic lattices

Robustness of a Perturbed Topological Phase

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

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

Spin-1/2 kagome XXZ model in a field: Competition between lattice nematic and solid orders ⬇️

Spin-Skagome quantum antiferromagnets in a field with tensor networks ⬇️

Symmetry-protected intermediate trivial phases in quantum spin chains ⬇️

Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry ⬇️

Tensor Network Annealing Algorithm for Two-Dimensional Thermal States

Tensor network simulation of QED on infinite lattices: Learning from (1+1) d , and prospects for (2+1) d

Topological minimally entangled states via geometric measure ⬇️

Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization ⬇️

Universal Geometric Entanglement Close to Quantum Phase Transitions

Universality of entanglement and quantum-computation complexity

Visualizing elusive phase transitions with geometric entanglement

Weakly entangled states are dense and robust