Research Explorer

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Researcher

Frank Verstraete

Publications & Research Data

Awards & Distinctions

232 Results

2025

A tensor network perspective on topological and other quantum phases

Lander BurgelmanFrank VerstraeteJutho Haegeman

Fermionic tensor network methods

Quinten MortierLukas DevosLander BurgelmanBram VanheckeNick BultinckFrank VerstraeteJutho HaegemanLaurens Vanderstraeten

A1 Journal Article in SCIPOST PHYSICS

Finite-size scaling on the torus with periodic projected entangled-pair states

Gleb FedorovichLukas DevosJutho HaegemanFrank VerstraeteAtsushi UedaLaurens Vanderstraeten

A1 Journal Article in PHYSICAL REVIEW B

Matrix product state fixed points of non-Hermitian transfer matrices

Wei TangFrank VerstraeteJutho Haegeman

A1 Journal Article in PHYSICAL REVIEW B

Perfect particle transmission through duality defects

Atsushi UedaVic Vander LindenLaurens LootensJutho HaegemanPaul FendleyFrank Verstraete

2024

Emergent conformal boundaries from finite-entanglement scaling in matrix product states

Rui-Zhen HuangLong ZhangAndreas M. LäuchliJutho HaegemanFrank VerstraeteLaurens Vanderstraeten

A1 Journal Article in PHYSICAL REVIEW LETTERS

Emergent conformal boundaries from finite-entanglement scaling in matrix product states

Rui-Zhen HuangLong ZhangAndreas M. LäuchliJutho HaegemanFrank VerstraeteLaurens Vanderstraeten

Fermionic tensor network methods

Quinten MortierLukas DevosLander BurgelmanBram VanheckeNick BultinckFrank VerstraeteJutho HaegemanLaurens Vanderstraeten

Interacting chiral fermions on the lattice with matrix product operator norms

Jutho HaegemanLaurens LootensQuinten MortierAlexander StottmeisterAtsushi UedaFrank Verstraete

Symmetric tensor network methods

Lukas DevosFrank VerstraeteJutho Haegeman

2023

Contrasting pseudocriticality in the classical two-dimensional Heisenberg and RP² models : zero-temperature phase transition versus finite-temperature crossover

Lander BurgelmanLukas DevosBram VanheckeFrank VerstraeteLaurens Vanderstraeten

A1 Journal Article in PHYSICAL REVIEW E

Invertible bimodule categories and generalized Schur orthogonality

Jacob C BridgemanLaurens LootensFrank Verstraete

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

Lattice representations of dualities and generalized symmetries

Laurens LootensFrank VerstraeteJutho Haegeman

One-dimensional symmetric phases protected by frieze symmetries

Bram Vancraeynest-De CuiperJacob C BridgemanNicolas DewolfJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

2022

A strange tensor network mapping : the bridge between topological phases of matter and critical lattice models

Robijn VanhoveFrank VerstraeteNick Bultinck

Critical lattice model for a Haagerup conformal field theory

Robijn VanhoveLaurens LootensMaarten Van DammeRamona WolfTobias J. OsborneJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Haldane gap in the SU(3) [300] Heisenberg chain

Lukas DevosLaurens VanderstraetenFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Invertible bimodule categories and generalized Schur orthogonality

Jacob C BridgemanLaurens LootensFrank Verstraete

Mapping between Morita-equivalent string-net states with a constant depth quantum circuit

Laurens LootensBram Vancraeynest-De CuiperNorbert SchuchFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

One-dimensional symmetric phases protected by frieze symmetries

Bram Vancraeynest-De CuiperJacob C BridgemanNicolas DewolfJutho HaegemanFrank Verstraete

Quantum error correction thresholds for non-Abelian Turaev-Viro codes

Alexis SchotteGuanyu ZhuLander BurgelmanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW X

Tangent space methods for the masses

Maarten Van DammeFrank VerstraeteJutho HaegemanLaurens Vanderstraeten

Tensor networks can resolve fermi surfaces

Quinten MortierNorbert SchuchFrank VerstraeteJutho Haegeman

A1 Journal Article in PHYSICAL REVIEW LETTERS

Topological aspects of the critical three-state Potts model

Robijn VanhoveLaurens LootensHong-Hao TuFrank Verstraete

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Variational methods for contracting projected entangled-pair states

Laurens VanderstraetenLander BurgelmanBoris PonsioenMaarten Van DammeBram VanheckePhilippe CorbozJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Variational optimization of continuous matrix product states

Benoît TuybensJacopo De NardisJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

2021

Characterizing topological order with matrix product operators

Mehmet Burak SahinogluDominic WilliamsonNick BultinckMichaël MariënJutho HaegemanNorbert SchuchFrank Verstraete

A1 Journal Article in ANNALES HENRI POINCARE

Direct sampling of projected entangled-pair states

Tom VieijraJutho HaegemanFrank VerstraeteLaurens Vanderstraeten

A1 Journal Article in PHYSICAL REVIEW B

Efficient matrix product state methods for extracting spectral information on rings and cylinders

Maarten Van DammeRobijn VanhoveJutho HaegemanFrank VerstraeteLaurens Vanderstraeten

A1 Journal Article in PHYSICAL REVIEW B

Lattice regularisation and entanglement structure of the Gross-Neveu model

Gertian RooseNick BultinckLaurens VanderstraetenFrank VerstraeteKarel Van AcoleyenJutho Haegeman

A1 Journal Article in JOURNAL OF HIGH ENERGY PHYSICS

Matrix product operator symmetries and intertwiners in string-nets with domain walls

Laurens LootensJürgen FuchsJutho HaegemanChristoph SchweigertFrank Verstraete

A1 Journal Article in SCIPOST PHYSICS

Quantum error correction thresholds for non-Abelian Turaev-Viro codes

Alexis SchotteFrank VerstraeteJutho Haegeman

Real-time scattering of interacting quasiparticles in quantum spin chains

Maarten Van DammeLaurens VanderstraetenJacopo De NardisJutho HaegemanFrank Verstraete

A2 Journal Article in PHYSICAL REVIEW RESEARCH

Scaling, entropy, and frustration : a tensor network story

Bram VanheckeFrank VerstraeteLaurens Vanderstraeten

Solving frustrated Ising models using tensor networks

Bram VanheckeJeanne ColboisLaurens VanderstraetenFrank VerstraeteFrederic Mila

A2 Journal Article in PHYSICAL REVIEW RESEARCH

Symmetric cluster expansions with tensor networks

Bram VanheckeLaurens VanderstraetenFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW A

Tangent space methods for truncating uniform MPS

Bram VanheckeMaarten Van DammeJutho HaegemanLaurens VanderstraetenFrank Verstraete

A2 Journal Article in SCIPOST PHYSICS CORE

Variational methods for characterizing matrix product operator symmetries

Anna FrancuzLaurens LootensFrank VerstraeteJacek Dziarmaga

A1 Journal Article in PHYSICAL REVIEW B

2020

Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell

A. NietnerBram VanheckeFrank VerstraeteJ. EisertLaurens Vanderstraeten

A1 Journal Article in QUANTUM

Entanglement compression in scale space : from the multiscale entanglement renormalization ansatz to matrix product operators

Karel Van AcoleyenAndrew HallamMatthias BalMarkus HauruJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Galois conjugated tensor fusion categories and nonunitary conformal field theory

Laurens LootensRobijn VanhoveJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Restricted Boltzmann machines for quantum states with non-abelian or anyonic symmetries

Tom VieijraCorneel CasertJannes NysWesley De NeveJutho HaegemanJan RyckebuschFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Simulating lattice gauge theories within quantum technologies

Mari Carmen BanulsRainer BlattJacopo CataniAlessio CeliJuan Ignacio CiracMarcello DalmonteLeonardo FallaniKarl JansenMaciej LewensteinSimone Montangero et al.

A1 Journal Article in EUROPEAN PHYSICAL JOURNAL D

Spinon confinement and deconfinement in spin-1 chains

Laurens VanderstraetenElisabeth WyboNatalia ChepigaFrank VerstraeteFrederic Mila

A1 Journal Article in PHYSICAL REVIEW B

Tree tensor networks in quantum chemistry

Klaas GunstDimitri Van NeckFrank Verstraete

Uncertainty and trade-offs in quantum multiparameter estimation

Ilya KullPhilippe Allard GuerinFrank Verstraete

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2019

A tensor version of the quantum Wielandt theorem

Mateusz MichalekTim SeynnaeveFrank Verstraete

A1 Journal Article in SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks

Laurens VanderstraetenBram VanheckeAndreas M. LäuchliFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW E

Scaling hypothesis for matrix product states

Bram VanheckeJutho HaegemanKarel Van AcoleyenLaurens VanderstraetenFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Simulating excitation spectra with projected entangled-pair states

Laurens VanderstraetenJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Tangent-space methods for uniform matrix product states

Laurens VanderstraetenJutho HaegemanFrank Verstraete

A2 Journal Article in SCIPOST PHYSICS LECTURE NOTES

Tensor-network approach to phase transitions in string-net models

Alexis SchotteJose CarrascoBram VanheckeLaurens VanderstraetenJutho HaegemanFrank VerstraeteJulien Vidal

A1 Journal Article in PHYSICAL REVIEW B

Three-legged tree tensor networks with SU(2) and molecular point group symmetry

Klaas GunstFrank VerstraeteDimitri Van Neck

A1 Journal Article in JOURNAL OF CHEMICAL THEORY AND COMPUTATION

2018

Faster methods for contracting infinite two-dimensional tensor networks

MT FishmanLaurens VanderstraetenV Zauner-StauberJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Fermionic projected entangled-pair states and topological phases

Nick BultinckDominic J WilliamsonJutho HaegemanFrank Verstraete

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Global anomaly detection in two-dimensional symmetry-protected topological phases

Nick BultinckRobijn VanhoveJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Mapping topological to conformal field theories through strange correlators

Robijn VanhoveMatthias BalDominic J WilliamsonNick BultinckJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Quasiparticles in quantum spin chains with long-range interactions

Laurens VanderstraetenMaarten Van DammeHans Peter BuechlerFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Real-space renormalization group methods in the age of tensor network states

Matthias BalFrank VerstraeteJutho Haegeman

Residual entropies for three-dimensional frustrated spin systems with tensor networks

Laurens VanderstraetenBram VanheckeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW E

T3NS : three-legged tree tensor network states

Klaas GunstFrank VerstraeteSebastian WoutersÖrs LegezaDimitri Van Neck

A1 Journal Article in JOURNAL OF CHEMICAL THEORY AND COMPUTATION

Thermal states as convex combinations of matrix product states

Mario BertaFernando GSL BrandaoJutho HaegemanVolkher B ScholzFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

V Zauner-StauberLaurens VanderstraetenJutho HaegemanIP McCullochFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Variational optimization algorithms for uniform matrix product states

V Zauner-StauberLaurens VanderstraetenMT FishmanFrank VerstraeteJutho Haegeman

A1 Journal Article in PHYSICAL REVIEW B

2017

Anyons and matrix product operator algebras

Nick BultinckMichaël MariënDJ WilliamsonMB ŞahinoğluJutho HaegemanFrank Verstraete

A1 Journal Article in ANNALS OF PHYSICS

Bridging perturbative expansions with tensor networks

Laurens VanderstraetenMichaël MariënJutho HaegemanNorbert SchuchJulien VidalFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Condensation-driven phase transitions in perturbed string nets

Michaël MariënJutho HaegemanPaul FendleyFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

Damian DraxlerJutho HaegemanFrank VerstraeteMatteo Rizzi

A1 Journal Article in PHYSICAL REVIEW B

Diagonalizing transfer matrices and matrix product operators : a medley of exact and computational methods

Jutho HaegemanFrank Verstraete

A1 Journal Article in Annual Review of Condensed Matter Physics

Entanglement phases as holographic duals of anyon condensates

Kasper DuivenvoordenMohsin IqbalJutho HaegemanFrank VerstraeteNorbert Schuch

A1 Journal Article in PHYSICAL REVIEW B

Fermionic matrix product states and one-dimensional topological phases

Nick BultinckDominic J WilliamsonJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

Boye BuyensSimone MontangeroJutho HaegemanFrank VerstraeteKarel Van Acoleyen

A1 Journal Article in PHYSICAL REVIEW D

Matrix product density operators : renormalization fixed points and boundary theories

JI CiracD Perez-GarciaN SchuchFrank Verstraete

A1 Journal Article in ANNALS OF PHYSICS

Matrix product unitaries : structure, symmetries, and topological invariants

J Ignacio CiracDavid Perez-GarciaNorbert SchuchFrank Verstraete

A1 Journal Article in JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Quantum Gross-Pitaevskii equation

Jutho HaegemanDamian DraxlerVid StojevicJ Ignacio CiracTobias J OsborneFrank Verstraete

A1 Journal Article in SCIPOST PHYSICS

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

Boye BuyensJutho HaegemanFlorian HebenstreitFrank VerstraeteKarel Van Acoleyen

A1 Journal Article in PHYSICAL REVIEW D

Renormalization group flows of Hamiltonians using tensor networks

Matthias BalMichaël MariënJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Tensor network states and topological quantum phases

Nick BultinckJutho HaegemanFrank Verstraete

2016

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

Yoju LeeFrank VerstraeteAndrej Gendiar

A1 Journal Article in PHYSICAL REVIEW E

Confinement and string breaking for QED2 in the Hamiltonian picture

Boye BuyensJutho HaegemanHenri VerscheldeFrank VerstraeteKarel Van Acoleyen

A1 Journal Article in PHYSICAL REVIEW X

Entanglement of distillation for lattice gauge theories

Karel Van AcoleyenNick BultinckJutho HaegemanMichaël MariënVolker ScholzFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entanglement rates and the stability of the area law for the entanglement entropy

Michaël MariënKoenraad AudenaertKarel Van AcoleyenFrank Verstraete

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

Gradient methods for variational optimization of projected entangled-pair states

Laurens VanderstraetenJutho HaegemanPhilippe CorbozFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Hamiltonian simulation of the Schwinger model at finite temperature

Boye BuyensFrank VerstraeteKarel Van Acoleyen

A1 Journal Article in PHYSICAL REVIEW D

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

Dominic J WilliamsonNick BultinckMichaël MariënMehmet B ŞahinoğluJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Matrix product state renormalization

Matthias BalMarek M RamsValentin ZaunerJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Quasiparticle interactions in frustrated Heisenberg chains

Laurens VanderstraetenJutho HaegemanFrank VerstraeteDidier Poilblanc

A1 Journal Article in PHYSICAL REVIEW B

Symmetry breaking and the geometry of reduced density matrices

V ZaunerD DraxlerLaurens VanderstraetenJutho HaegemanFrank Verstraete

A1 Journal Article in NEW JOURNAL OF PHYSICS

Tensor network states and effective particles for low-dimensional quantum spin systems

Laurens VanderstraetenFrank VerstraeteJutho Haegeman

Tensor-product state approach to spin-1/2 square J₁-J₂ antiferromagnetic Heisenberg model : evidence for deconfined quantum criticality

Ling WangZheng-Cheng GuFrank VerstraeteXiao-Gang Wen

A1 Journal Article in PHYSICAL REVIEW B

The entanglement structure of topological quantum phases

Michaël MariënFrank Verstraete

Unifying time evolution and optimization with matrix product states

Jutho HaegemanChristian LubichIvan OseledetsBart VandereyckenFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

2015

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

Andras MolnarNorbert SchuchFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW B

Conformal data from finite entanglement scaling

Vid StojevicJutho HaegemanIP McCullochLuca TagliacozzoFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

David JenningsChristoph BrocktJutho HaegemanTobias J OsborneFrank Verstraete

A1 Journal Article in NEW JOURNAL OF PHYSICS

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

Martin GanahlMarkus AichhornHans Gerd EvertzPatrik ThunströmKarsten HeldFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Excitations and the tangent space of projected entangled-pair states

Laurens VanderstraetenMichaël MariënFrank VerstraeteJutho Haegeman

A1 Journal Article in PHYSICAL REVIEW B

Gauging quantum states : from global to local symmetries in many-body systems

Jutho HaegemanKarel Van AcoleyenNorbert SchuchJ Ignacio CiracFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW X

Linear-optical generation of eigenstates of the two-site XY model

Stefanie BarzBorivoje DakicYannick Ole LippFrank VerstraeteJames WhitfieldPhilip Walther

A1 Journal Article in PHYSICAL REVIEW X

Nested algebraic Bethe ansatz for the supersymmetric t-J model and tensor networks

Y. Q. ChongV. MurgV. E. KorepinFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Quantum chi-squared and goodness of fit testing

Kristan TemmeFrank Verstraete

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Quantum Hamiltonian complexity: worth the wait

Frank Verstraete

Scattering particles in quantum spin chains

Laurens VanderstraetenFrank VerstraeteJutho Haegeman

A1 Journal Article in PHYSICAL REVIEW B

Shadows of anyons and the entanglement structure of topological phases

Jutho HaegemanV ZaunerN SchuchFrank Verstraete

A1 Journal Article in NATURE COMMUNICATIONS

Tensor networks for gauge field theories

Boye BuyensJutho HaegemanFrank VerstraeteKarel Van Acoleyen

Tensor product methods and entanglement optimization for ab initio quantum chemistry

Szilard SzalayMax PfefferValentin MurgGergely BarczaFrank VerstraeteReinhold SchneiderOers Legeza

A1 Journal Article in INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY

Transfer matrices and excitations with matrix product states

Valentin ZaunerDamian DraxlerLaurens VanderstraetenMatthias DegrooteJutho HaegemanMarek M RamsVid StojevicNorbert SchuchFrank Verstraete

A1 Journal Article in NEW JOURNAL OF PHYSICS

Tree tensor network state with variable tensor order: an efficient multireference method for strongly correlated systems

V MurgFrank VerstraeteR SchneiderPR NagyOe Legeza

A1 Journal Article in JOURNAL OF CHEMICAL THEORY AND COMPUTATION

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

Marek M RamsValentin ZaunerMatthias BalJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

2014

Chebyshev expansion for impurity models using matrix product states

Martin GanahlPatrik ThunströmFrank VerstraeteKarsten HeldHans Gerd Evertz

A1 Journal Article in PHYSICAL REVIEW B

Edge theories in projected entangled pair state models

S YangL LehmanD PoilblancKarel Van AcoleyenFrank VerstraeteJI CiracN Schuch

A1 Journal Article in PHYSICAL REVIEW LETTERS

Faster identification of optimal contraction sequences for tensor networks

Robert NC PfeiferJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW E

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

Jutho HaegemanMichaël MariënTobias J OsborneFrank Verstraete

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Matrix product states for gauge field theories

Boye BuyensJutho HaegemanKarel Van AcoleyenHenri VerscheldeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Matrix product states for Hamiltonian lattice gauge theories

Boye BuyensKarel Van AcoleyenJutho HaegemanFrank Verstraete

S Matrix from matrix product states

Laurens VanderstraetenJutho HaegemanTobias J OsborneFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

2013

Calculus of continuous matrix product states

Jutho HaegemanJ Ignacio CiracTobias J OsborneFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Constructing a gapless spin-liquid state for the spin-1/2 J₁-J₂ Heisenberg model on a square lattice

Ling WangDidier PoilblancZheng-Cheng GuXiao-Gang WenFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Elementary excitations in gapped quantum spin systems

Jutho HaegemanSpyridon MichalakisBruno NachtergaeleTobias J OsborneNorbert SchuchFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entanglement rates and area laws

Karel Van AcoleyenMichaël MariënFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entanglement renormalization for quantum fields in real space

Jutho HaegemanTobias J OsborneHenri VerscheldeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Particles, holes, and solitons : a matrix product state approach

Damian DraxlerJutho HaegemanTobias J OsborneVid StojevicLaurens VanderstraetenFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

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

Jutho HaegemanTobias J OsborneFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Preparing topological projected entangled pair states on a quantum computer

Martin SchwarzKristan TemmeFrank VerstraeteDavid Perez-GarciaToby S Cubitt

A1 Journal Article in PHYSICAL REVIEW A

Tree tensor networks and entanglement spectra

Iztok PižornFrank VerstraeteRobert M Konik

A1 Journal Article in PHYSICAL REVIEW B

Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit

Ashley MilstedJutho HaegemanTobias J OsborneFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

2012

Algebraic Bethe ansatz and tensor networks

V MurgVE KorepinFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Finite-temperature mutual information in a simple phase transition

Johannes WilmsJulien VidalFrank VerstraeteSebastien Dusuel

A1 Journal Article in JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

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

B PirvuJutho HaegemanFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

B PirvuG VidalFrank VerstraeteL Tagliacozzo

A1 Journal Article in PHYSICAL REVIEW B

Preparing projected entangled pair states on a quantum computer

Martin SchwarzKristan TemmeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Quantum state discrimination bounds for finite sample size

Koenraad MR AudenaertMilan MosonyiFrank Verstraete

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Stochastic exclusion processes versus coherent transport

Kristan TemmeMichael M WolfFrank Verstraete

A1 Journal Article in NEW JOURNAL OF PHYSICS

Variational matrix product ansatz for dispersion relations

Jutho HaegemanBogdan PirvuDavid J WeirIgnacio CiracTobias J OsborneHenri VerscheldeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

Iztok PizornFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

2011

Entanglement spectrum and boundary theories with projected entangled-pair states

J Ignacio CiracDidier PoilblancNorbert SchuchFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

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

B PirvuFrank VerstraeteG Vidal

A1 Journal Article in PHYSICAL REVIEW B

Monte Carlo simulation with tensor network states

Ling WangIztok PizornFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Mutual information in classical spin models

Johannes WilmsMatthias TroyerFrank Verstraete

A1 Journal Article in JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Quantum Metropolis sampling

K TemmeTJ OsborneKG VollbrechtD PoulinFrank Verstraete

A1 Journal Article in NATURE

Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space

David PoulinAngie QarryRolando SommaFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

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

Iztok PizornLing WangFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW A

Time-dependent variational principle for quantum lattices

Jutho HaegemanJ Ignacio CiracTobias J OsborneIztok PižornHenri VerscheldeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

2010

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

Jutho HaegemanIgnacio CiracTobias J OsborneHenri VerscheldeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

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

Konrad H MartiBela BauerMarkus ReiherMatthias TroyerFrank Verstraete

A1 Journal Article in NEW JOURNAL OF PHYSICS

Continuous matrix product states for quantum fields

Frank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Fermionic implementation of projected entangled pair states algorithm

Iztok PizornFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW B

Fermionic projected entangled pair states

Christina V KrausNorbert SchuchFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW A

Holographic quantum states

Tobias J OsborneJens EisertFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Matrix product operator representations

B PirvuV MurgJI CiracFrank Verstraete

A1 Journal Article in NEW JOURNAL OF PHYSICS

Simulating strongly correlated quantum systems with tree tensor networks

V MurgFrank VerstraeteOe LegezaRM Noack

A1 Journal Article in PHYSICAL REVIEW B

Simulation of interacting fermions with entanglement renormalization

Philippe CorbozGlen EvenblyFrank VerstraeteGuifre Vidal

A1 Journal Article in PHYSICAL REVIEW A

Stochastic matrix product states

Kristan TemmeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

The χ²-divergence and mixing times of quantum Markov processes

K TemmeMJ KastoryanoMB RuskaiMM WolfFrank Verstraete

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2009

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

Norbert SchuchFrank Verstraete

A1 Journal Article in NATURE PHYSICS

Exploring frustrated spin systems using projected entangled pair states

V MurgFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW B

Matrix product states for dynamical simulation of infinite chains

MC BanulsMB HastingsFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Quantum circuits for strongly correlated quantum systems

Frank VerstraeteJ Ignacio CiracJose I Latorre

A1 Journal Article in PHYSICAL REVIEW A

Quantum computation and quantum-state engineering driven by dissipation

Frank VerstraeteMichael M WolfJ Ignacio Cirac

A1 Journal Article in NATURE PHYSICS

Quantum many-body wavefunctions from the point of view of entanglement and quantum information theory

Frank Verstraete

Renormalization algorithm with graph enhancement

R HuebenerC KruszynskaL HartmannW DuerFrank VerstraeteJ EisertMB Plenio

A1 Journal Article in PHYSICAL REVIEW A

Renormalization and tensor product states in spin chains and lattices

J Ignacio CiracFrank Verstraete

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Variational matrix-product-state approach to quantum impurity models

A WeichselbaumFrank VerstraeteU SchollwoeckJI CiracJan von Delft

A1 Journal Article in PHYSICAL REVIEW B

2008

Area laws in quantum systems : mutual information and correlations

Michael M WolfFrank VerstraeteMatthew B HastingsJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Asymptotic error rates in quantum hypothesis testing

KMR AudenaertM NussbaumA SzkolaFrank Verstraete

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

J JordanR OrusG VidalFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Computational difficulty of finding matrix product ground states

Norbert SchuchIgnacio CiracFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Creation, manipulation, and detection of Abelian and non-Abelian Anyons in optical lattices

M AguadoGK BrennenFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entropy scaling and simulability by matrix product states

Norbert SchuchMichael M WolfFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

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

Frank VerstraeteV MurgJI Cirac

A1 Journal Article in ADVANCES IN PHYSICS

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

S PerseguersL JiangN SchuchFrank VerstraeteMD LukinJI CiracKGH Vollbrecht

A1 Journal Article in PHYSICAL REVIEW A

PEPS as unique ground states of local Hamiltonians

D Perez-GarciaFrank VerstraeteMM WolfJI Cirac

A1 Journal Article in QUANTUM INFORMATION & COMPUTATION

Sequentially generated states for the study of two-dimensional systems

MC BanulsD Perez-GarciaMM WolfFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW A

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

Norbert SchuchMichael M WolfFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

String order and symmetries in quantum spin lattices

D Perez-GarciaMM WolfM SanzFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

2007

Computational complexity of projected entangled pair states

Norbert SchuchMichael M WolfFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Discriminating states : the quantum Chernoff bound

KMR AudenaertJ CalsamigliaR Munoz-TapiaE BaganLl MasanesA AcinFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Matrix product state representations

D Perez-GarciaFrank VerstraeteMM WolfJI Cirac

A1 Journal Article in QUANTUM INFORMATION & COMPUTATION

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

Yi-Kai LiuMatthias ChristandlFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

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

V MurgFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW A

2006

Criticality, the area law, and the computational power of projected entangled pair states

Frank VerstraeteMM WolfD Perez-GarciaJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

General monogamy inequality for bipartite qubit entanglement

Tobias J OsborneFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

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

S AndersMB PlenioW DuerFrank VerstraeteH-J Briegel

A1 Journal Article in PHYSICAL REVIEW LETTERS

Lieb-Robinson bounds and the generation of correlations and topological quantum order

S BravyiMB HastingsFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW LETTERS

Matrix product states represent ground states faithfully

Frank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW B

Numerical computation of localizable entanglement in spin chains

M PoppFrank VerstraeteMA Martin-DelgadoI Cirac

A1 Journal Article in APPLIED PHYSICS B-LASERS AND OPTICS

Projected entangled states : properties and applications

Frank VerstraeteM. WolfD. Perez-GarciaJ. I. Cirac

A1 Journal Article in INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Projected entangled states : properties and applications

Frank VerstraeteM. WolfD. Perez-GarciaJ. I. Cirac

Quantum phase transitions in matrix product systems

Michael M WolfGerardo OrtizFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Renormalization algorithm for the calculation of spectra of interacting quantum systems

D PorrasFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW B

2005

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

V MurgFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entanglement flow in multipartite systems

TS CubittFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW A

Entanglement of assistance and multipartite state distillation

JA SmolinFrank VerstraeteA Winter

A1 Journal Article in PHYSICAL REVIEW A

Exploiting quantum parallelism to simulate quantum random many-body systems

B ParedesFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Interpolation of recurrence and hashing entanglement distillation protocols

KGH VollbrechtFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW A

Localizable entanglement

M PoppFrank VerstraeteMA Martin-DelgadoJI Cirac

A1 Journal Article in PHYSICAL REVIEW A

Mapping local Hamiltonians of fermions to local Hamiltonians of spins

Frank VerstraeteJI Cirac

A1 Journal Article in JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Renormalization-group transformations on quantum states

Frank VerstraeteJI CiracJI LatorreE RicoMM Wolf

A1 Journal Article in PHYSICAL REVIEW LETTERS

Sequential generation of entangled multiqubit states

C SchonE SolanoFrank VerstraeteJI CiracMM Wolf

A1 Journal Article in PHYSICAL REVIEW LETTERS

2004

Density matrix renormalization group and periodic boundary conditions : a quantum information perspective

Frank VerstraeteD PorrasJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Diverging entanglement length in gapped quantum spin systems

Frank VerstraeteMA Martin-DelgadoJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entanglement frustration for Gaussian states on symmetric graphs

MM WolfFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Entanglement versus correlations in spin systems

Frank VerstraeteM PoppJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Matrix product density operators : simulation of finite-temperature and dissipative systems

Frank VerstraeteJJ Garcia-RipollJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Multipartite entanglement in 2 x 2 x n quantum systems

A MiyakeFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW A

Nonlocal resources in the presence of superselection rules

N SchuchFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Nonlocality in the presence of superselection rules

Frank VerstraeteN SchuchJI Cirac

Quantum entanglement theory in the presence of superselection rules

N SchuchFrank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW A

The moduli space of three-qutrit states

E BriandJG LuqueJY ThibonFrank Verstraete

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Valence-bond states for quantum computation

Frank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW A

2003

Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions

AM ChildsDW LeungFrank VerstraeteG Vidal

A1 Journal Article in QUANTUM INFORMATION & COMPUTATION

Entanglement and frustration in ordered systems

Michael M WolfFrank VerstraeteJ Ignacio Cirac

A1 Journal Article in INTERNATIONAL JOURNAL OF QUANTUM INFORMATION

Local permutations of products of Bell states and entanglement distillation

J DehaeneM Van den NestB De MoorFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW A

Local vs. joint measurements for the entanglement of assistance

T LaustsenFrank VerstraeteSJ Van Enk

A1 Journal Article in QUANTUM INFORMATION & COMPUTATION

Maximal entanglement versus entropy for mixed quantum states

TC WeiK NemotoPM GoldbartPG KwiatWJ MunroFrank Verstraete

A1 Journal Article in PHYSICAL REVIEW A

Normal forms and entanglement measures for multipartite quantum states

Frank VerstraeteJ DehaeneB De Moor

A1 Journal Article in PHYSICAL REVIEW A

Optimal teleportation with a mixed state of two qubits

Frank VerstraeteHenri Verschelde

A1 Journal Article in PHYSICAL REVIEW LETTERS

Quantum nonlocality in the presence of superselection rules and data hiding protocols

Frank VerstraeteJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Separable states can be used to distribute entanglement

TS CubittFrank VerstraeteW DurJI Cirac

A1 Journal Article in PHYSICAL REVIEW LETTERS

Two-qubit mixed states and the entanglement-entropy frontier

Tzu-Chieh WeiKae NemotoPaul M GoldbartPaul G KwiatWilliam J MunroFrank Verstraete

2002

A study of entanglement in quantum information theory

Frank VerstraeteBart De MoorHenri Verschelde

Entanglement versus Bell violations and their behaviour under local filtering operations

Frank VerstraeteMM Wolf

A1 Journal Article in PHYSICAL REVIEW LETTERS

Fidelity of mixed states of two qubits

Frank VerstraeteHenri Verschelde

A1 Journal Article in PHYSICAL REVIEW A

Four qubits can be entangled in nine different ways

Frank VerstraeteJ DehaeneB De MoorHenri Verschelde

A1 Journal Article in PHYSICAL REVIEW A

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

Frank VerstraeteJ DehaeneB De Moor

A1 Journal Article in PHYSICAL REVIEW A

On the geometry of entangled states

Frank VerstraeteJ DehaeneB De Moor

A1 Journal Article in JOURNAL OF MODERN OPTICS

Optimal enhancement of the fidelity of two qubits.

Frank VerstraeteHenri Verschelde

A2 Journal Article in PHYSICAL REVIEW A

2001

A comparison of the entanglement measures negativity and concurrence

Frank VerstraeteKoenraad AudenaertJeroen DehaeneBart De Moor

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Local filtering operations on two qubits

Frank VerstraeteJ DehaeneB De Moor

A1 Journal Article in PHYSICAL REVIEW A

Maximally entangled mixed states of two qubits

Frank VerstraeteKoenraad AudenaertBart De Moor

A1 Journal Article in PHYSICAL REVIEW A

Sensitivity optimization in quantum parameter estimation

Frank VerstraeteAC DohertyH Mabuchi

A1 Journal Article in PHYSICAL REVIEW A

Variational characterizations of separability and entanglement of formation

Koenraad AudenaertFrank VerstraeteBart De Moor

A1 Journal Article in PHYSICAL REVIEW A