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List of works by Frank Verstraete

A comparison of the entanglement measures negativity and concurrence

scientific article published on 21 November 2001

Algebraic Bethe ansatz and tensor networks

scientific article published on 20 July 2012

Anyons and matrix product operator algebras

scientific article published in March 2017

Applying the variational principle to (1+1)-dimensional quantum field theories.

scientific article published on 16 December 2010

Approximating Gibbs states of local Hamiltonians efficiently with projected entangled pair states

scholarly article in Physical Review B, vol. 91 no. 4, January 2015

Area Laws in Quantum Systems: Mutual Information and Correlations

scientific article published in Physical Review Letters

Asymptotic Error Rates in Quantum Hypothesis Testing

scientific article published on 8 February 2008

Boundary-field-driven control of discontinuous phase transitions on hyperbolic lattices

scientific article published on 23 August 2016

Bridging Perturbative Expansions with Tensor Networks

scientific article

Calculus of continuous matrix product states

scholarly article in Physical Review B, vol. 88 no. 8, August 2013

Chebyshev expansion for impurity models using matrix product states

scientific article published on 30 July 2014

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

scientific article published on 18 December 2008

Complete-graph tensor network states: a new fermionic wave function ansatz for molecules

article by Konrad H Marti et al published 5 October 2010 in New Journal of Physics

Computational Complexity of Projected Entangled Pair States

scientific article published in Physical Review Letters

Computational Difficulty of Finding Matrix Product Ground States

scientific article published in Physical Review Letters

Computational complexity of interacting electrons and fundamental limitations of density functional theory

scientific article published on 23 August 2009

Condensation-driven phase transitions in perturbed string nets

scientific article published on 17 October 2017

Confinement and String Breaking forQED2in the Hamiltonian Picture

scientific article published on 23 November 2016

Conformal data from finite entanglement scaling

scientific article published on 20 January 2015

Constructing a gapless spin-liquid state for the spin-1/2 J(1)-J(2) Heisenberg model on a square lattice

scientific article published on 17 July 2013

Continuous Matrix Product States for Quantum Fields

scientific article published in Physical Review Letters

Continuous matrix product states with periodic boundary conditions and an application to atomtronics

scientific article published on 30 January 2017

Continuum tensor network field states, path integral representations and spatial symmetries

Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices

scientific article published in Physical Review Letters

Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States

scientific article published in Physical Review Letters

Density Matrix Renormalization Group and Periodic Boundary Conditions: A Quantum Information Perspective

scientific article published in Physical Review Letters

Diagonalizing Transfer Matrices and Matrix Product Operators: A Medley of Exact and Computational Methods

scientific article published on 31 March 2017

Discriminating States: the quantum Chernoff bound.

scientific article published on 17 April 2007

Diverging Entanglement Length in Gapped Quantum Spin Systems

scientific article published in Physical Review Letters

ENTANGLEMENT AND FRUSTRATION IN ORDERED SYSTEMS

Edge theories in projected entangled pair state models

scientific article

Efficient DMFT impurity solver using real-time dynamics with matrix product states

scientific article published on 20 October 2015

Efficient evaluation of partition functions of inhomogeneous many-body spin systems

scientific article published on 28 July 2005

Elementary excitations in gapped quantum spin systems

scientific article published on 19 August 2013

Entanglement Frustration for Gaussian States on Symmetric Graphs

scientific article published in Physical Review Letters

Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

scientific article published on 15 July 2016

Entanglement flow in multipartite systems

Entanglement of Distillation for Lattice Gauge Theories

scientific article published on 21 September 2016

Entanglement of assistance and multipartite state distillation

article

Entanglement rates and area laws

scientific article

Entanglement renormalization for quantum fields in real space

scientific article published on 5 March 2013

Entanglement spectrum and boundary theories with projected entangled-pair states

scholarly article in Physical Review B, vol. 83 no. 24, June 2011

Entanglement versus Correlations in Spin Systems

scientific article published in Physical Review Letters

Entanglement versus bell violations and their behavior under local filtering operations

scientific article published on 2 October 2002

Entropy Scaling and Simulability by Matrix Product States

scientific article published in Physical Review Letters

Excitations and the tangent space of projected entangled-pair states

scientific article published on 23 November 2015

Exploiting quantum parallelism to simulate quantum random many-body systems

scientific article published on 29 September 2005

Exploiting translational invariance in matrix product state simulations of spin chains with periodic boundary conditions

scientific article published on 17 March 2011

Exploring frustrated spin systems using projected entangled pair states

scholarly article in Physical Review B, vol. 79 no. 19, May 2009

Faster identification of optimal contraction sequences for tensor networks

scientific article published on 30 September 2014

Fermionic implementation of projected entangled pair states algorithm

scientific article published on 9 June 2010

Fermionic matrix product states and one-dimensional topological phases

scientific article published on 3 February 2017

Fermionic projected entangled pair states

Fermionic projected entangled-pair states and topological phases

scientific article published on 7 December 2017

Fidelity of mixed states of two qubits

scientific article published on 12 August 2002

Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

scientific article published on 24 May 2017

Finite-temperature mutual information in a simple phase transition

scientific article published on 30 January 2012

Four qubits can be entangled in nine different ways

scientific article published on 25 April 2002

Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems

General Monogamy Inequality for Bipartite Qubit Entanglement

scientific article (publication date: 7 June 2006)

Geometry of matrix product states: Metric, parallel transport, and curvature

scientific article published in February 2014

Global Anomaly Detection in Two-Dimensional Symmetry-Protected Topological Phases

scientific article published on 10 April 2018

Gradient methods for variational optimization of projected entangled-pair states

scientific article published on 14 October 2016

Ground-state approximation for strongly interacting spin systems in arbitrary spatial dimension.

scientific article published on 8 September 2006

Hamiltonian simulation of the Schwinger model at finite temperature

scientific article published on 21 October 2016

Holographic quantum states.

scientific article published on 20 December 2010

Interpolation of recurrence and hashing entanglement distillation protocols

scientific article published in June 2005

Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order

scientific article published on 31 July 2006

Linear-Optical Generation of Eigenstates of the Two-SiteXYModel

Local filtering operations on two qubits

scientific article published on 5 June 2001

Local permutations of products of Bell states and entanglement distillation

scientific article published on 28 February 2003

Localizable entanglement

scientific article

Lorentz singular-value decomposition and its applications to pure states of three qubits

scientific article published on 14 February 2002

Mapping local Hamiltonians of fermions to local Hamiltonians of spins

article published in 2005

Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems

scientific article (publication date: 12 November 2004)

Matrix product density operators: Renormalization fixed points and boundary theories

Matrix product operator representations

Matrix product operators for symmetry-protected topological phases: Gauging and edge theories

scientific article published on 30 November 2016

Matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions

scientific article published on 31 January 2012

Matrix product state renormalization

scientific article published on 14 November 2016

Matrix product states for critical spin chains: Finite-size versus finite-entanglement scaling

scientific article published on 13 August 2012

Matrix product states for dynamical simulation of infinite chains

scientific article published on 18 June 2009

Matrix product states for gauge field theories

scientific article published on 25 August 2014

Matrix product states represent ground states faithfully

scholarly article in Physical Review B, vol. 73 no. 9, March 2006

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

Matrix product unitaries: structure, symmetries, and topological invariants

Maximal entanglement versus entropy for mixed quantum states

scientific article published on 28 February 2003

Maximally entangled mixed states of two qubits

scientific article published on 15 June 2001

Monte Carlo simulation with tensor network states

scientific article published on 15 April 2011

Multipartite entanglement in2×2×nquantum systems

scientific article published on 8 January 2004

Mutual information in classical spin models

Nested algebraic Bethe ansatz for the supersymmetrict−Jmodel and tensor networks

scientific article published on 20 May 2015

Nonlocal Resources in the Presence of Superselection Rules

scientific article published in Physical Review Letters

Nonlocality in the presence of superselection rules

Normal forms and entanglement measures for multipartite quantum states

scientific article (publication date: 15 July 2003)

Numerical Computation of Localizable Entanglement in Spin Chains

On the geometry of entangled states

scientific article published in July 2002

One-shot entanglement generation over long distances in noisy quantum networks

Optimal Teleportation with a Mixed State of Two Qubits

scientific article published on 5 March 2003

Particles, Holes, and Solitons: A Matrix Product State Approach

scientific article published on 9 July 2013

Post-matrix product state methods: To tangent space and beyond

scientific article published on 20 August 2013

Preparing projected entangled pair states on a quantum computer

scientific article published on 13 March 2012

Preparing topological projected entangled pair states on a quantum computer

Quantum Gross-Pitaevskii Equation

Quantum Metropolis sampling.

scientific article

Quantum Nonlocality in the Presence of Superselection Rules and Data Hiding Protocols

scientific article published in Physical Review Letters

Quantum Simulation of Time-Dependent Hamiltonians and the Convenient Illusion of Hilbert Space

scientific article published on 29 April 2011

Quantum chi-squared and goodness of fit testing

Quantum circuits for strongly correlated quantum systems

Quantum computation and quantum-state engineering driven by dissipation

scholarly article by Frank Verstraete et al published 20 July 2009 in Nature Physics

Quantum computational complexity of the N-representability problem: QMA complete

scientific article published on 16 March 2007

Quantum entanglement theory in the presence of superselection rules

Quantum phase transitions in matrix product systems

scientific article published on 12 September 2006

Quantum state discrimination bounds for finite sample size

scientific article published in December 2012

Quasiparticle interactions in frustrated Heisenberg chains

scientific article published on 6 June 2016

Quasiparticles in Quantum Spin Chains with Long-Range Interactions

scientific article published on 31 August 2018

Real-time simulation of the Schwinger effect with matrix product states

scientific article published in December 2017

Renormalization Group Flows of Hamiltonians Using Tensor Networks

scientific article published on 20 June 2017

Renormalization algorithm for the calculation of spectra of interacting quantum systems

scholarly article in Physical Review B, vol. 73 no. 1, January 2006

Renormalization algorithm with graph enhancement

Renormalization and tensor product states in spin chains and lattices

Renormalization-Group Transformations on Quantum States

scientific article published in Physical Review Letters

S matrix from matrix product states

scientific article

Scattering particles in quantum spin chains

scientific article published on 18 September 2015

Sensitivity optimization in quantum parameter estimation

scientific article published on 17 August 2001

Separable States Can Be Used To Distribute Entanglement

scientific article published in Physical Review Letters

Sequential Generation of Entangled Multiqubit States

scientific article published in Physical Review Letters

Sequentially generated states for the study of two-dimensional systems

Shadows of anyons and the entanglement structure of topological phases

scientific article

Simulating strongly correlated quantum systems with tree tensor networks

scientific article published on 3 November 2010

Simulation of interacting fermions with entanglement renormalization

scientific article published on 21 January 2010

Simulation of quantum many-body systems with strings of operators and Monte Carlo tensor contractions

scientific article published on 30 January 2008

Stochastic Matrix Product States

scientific article published on 28 May 2010

Stochastic exclusion processes versus coherent transport

scientific article published on 3 July 2012

String Order and Symmetries in Quantum Spin Lattices

scientific article published in Physical Review Letters

Symmetry breaking and the geometry of reduced density matrices

scientific article published on 17 November 2016

T3NS: Three-Legged Tree Tensor Network States

scientific article published on 26 February 2018

Tensor product methods and entanglement optimization for ab initio quantum chemistry

scientific article published on 25 May 2015

Tensor-product state approach to spin-12squareJ1−J2antiferromagnetic Heisenberg model: Evidence for deconfined quantum criticality

scientific article published on 19 August 2016

The moduli space of three-qutrit states

scientific article published in December 2004

The χ2-divergence and mixing times of quantum Markov processes

scientific article published in December 2010

Time evolution of projected entangled pair states in the single-layer picture

scientific article published on 24 May 2011

Time-dependent variational principle for quantum lattices.

scientific article published on 10 August 2011

Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries

scientific article published on 29 June 2018

Transfer matrices and excitations with matrix product states

scientific article published on 6 May 2015

Tree Tensor Network State with Variable Tensor Order: An Efficient Multireference Method for Strongly Correlated Systems

scientific article published on 3 February 2015

Tree tensor networks and entanglement spectra

scientific article published in November 2013

Truncating an exact matrix product state for the XY model: Transfer matrix and its renormalization

scientific article published on 28 December 2015

Unifying time evolution and optimization with matrix product states

scientific article published on 10 October 2016

Valence-bond states for quantum computation

scholarly article by Frank Verstraete & Juan Ignacio Cirac Sasturáin published 14 December 2004 in Physical Review A

Variational characterizations of separability and entanglement of formation

scientific article published on 10 October 2001

Variational matrix product ansatz for dispersion relations

scholarly article in Physical Review B, vol. 85 no. 10, March 2012

Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit

scientific article published on 14 October 2013

Variational matrix-product-state approach to quantum impurity models

scholarly article in Physical Review B, vol. 80 no. 16, October 2009

Variational numerical renormalization group: bridging the gap between NRG and density matrix renormalization group

scientific article published on 8 February 2012

Variational optimization algorithms for uniform matrix product states

scientific article published on 25 January 2018

Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states

Worth the wait

scientific article published in July 2015