Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

Abstract

This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.

Review from 2007

References in corpus (102)

• Fault-tolerant quantum computation by anyons
• Cold bosonic atoms in optical lattices
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Efficient classical simulation of slightly entangled quantum computations
• Detecting topological order in a ground state wave function
• Entropy and Area
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Entanglement renormalization
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• An Area Law for One Dimensional Quantum Systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• A class of quantum many-body states that can be efficiently simulated
• On Geometric Entropy
• Matrix product states represent ground states faithfully
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Area laws in quantum systems: mutual information and correlations
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• DMRG and periodic boundary conditions: a quantum information perspective
• Criticality, the area law, and the computational power of PEPS
• Classical simulation of quantum many-body systems with a tree tensor network
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Violation of the entropic area law for Fermions
• A class of ansatz wave functions for 1D spin systems and their relation to DMRG
• Entropy scaling and simulability by Matrix Product States
• Entropy, entanglement, and area: analytical results for harmonic lattice systems
• Dynamical density-matrix renormalization-group method
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Neel order in square and triangular lattice Heisenberg models
• Randomizing quantum states: Constructions and applications
• Algorithms for entanglement renormalization
• Valence Bond Solids for Quantum Computation
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Dynamical Correlation Functions using the Density Matrix Renormalization Group
• Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
• Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
• Density Matrix Renormalization Group Method for 2D Classical Models
• Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
• The Non-Abelian Density Matrix Renormalization Group Algorithm
• Black hole thermodynamics and information loss in two dimensions
• Solving Gapped Hamiltonians Locally
• Density matrix renormalization group algorithms with a single center site
• Characterizing the entanglement of symmetric many-particle spin-1/2 systems
• One-and-a-half quantum de Finetti theorems
• Time-dependent density-matrix renormalization group: A systematic method for the study of quantum many-body systems out-of-equilibrium
• Density matrix algorithm for the calculation of dynamical properties of low dimensional systems
• Renormalization group transformations on quantum states
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Variational Characterisations of Separability and Entanglement of Formation
• Entropy and Entanglement in Quantum Ground States
• Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains
• Locality in Quantum and Markov Dynamics on Lattices and Networks
• Quantum fidelity and quantum phase transitions in matrix product states
• Time evolution algorithms for Matrix Product States and DMRG
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• Commensurate-incommensurate transition of cold atoms in an optical lattice
• Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method
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• Self-Consistent Tensor Product Variational Approximation for 3D Classical Models
• Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
• Scaling and universality in the anisotropic Kondo model and the dissipative two-state system
• Comment on "Time-Dependent Density-Matrix Renormalization Group: A Systematic Method for the Study of Quantum Many-Body Out-of- Equilibrium Systems"
• Ground state approximation for strongly interacting systems in arbitrary dimension
• Renormalization algorithm for the calculation of spectra of interacting quantum systems
• Numerical Renormalization Approach to Two-Dimensional Quantum Antiferromagnets with Valence-Bond-Solid Type Ground State
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• Higher-Order Methods for Quantum Simulations
• A Renormalisation-Group Algorithm for Eigenvalue Density Functions of Interacting Quantum Systems

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• Dynamical simulations of classical stochastic systems using matrix product states
• Variational Matrix Product Ansatz for Nonuniform Dynamics in the Thermodynamic Limit
• Numerical Contraction of the Tensor Network generated by the Algebraic Bethe Ansatz
• The Algebraic Bethe Ansatz and Tensor Networks
• Bridging Perturbative Expansions with Tensor Networks
• Investigating ultrafast quantum magnetism with machine learning
• Tensor Networks for Big Data Analytics and Large-Scale Optimization Problems
• An area law for 2D frustration-free spin systems
• Steady States of Infinite-Size Dissipative Quantum Chains via Imaginary Time Evolution
• Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
• Tensor Network Contractions for #SAT
• Validating Quantum-Classical Programming Models with Tensor Network Simulations
• Machine learning \& artificial intelligence in the quantum domain
• Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries
• Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits
• SU(2)${}_1$ chiral edge modes of a critical spin liquid
• Dynamical phase behavior of the single- and multi-lane asymmetric simple exclusion process via matrix product states
• Matrix product states for quantum metrology
• O(3) nonlinear sigma model in 1+1 dimensions with matrix product states
• Limitations of Linear Cross-Entropy as a Measure for Quantum Advantage
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Fast counting with tensor networks
• Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks
• Tensor network states in time-bin quantum optics
• Tensor-Train Split Operator KSL (TT-SOKSL) Method for Quantum Dynamics Simulations
• Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization
• Combining Tensor Networks with Monte Carlo Methods for Lattice Gauge Theories
• A driven-dissipative quantum Monte Carlo method for open quantum systems
• Statistical properties of random matrix product states
• Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
• Tensor network algorithm by coarse-graining tensor renormalization on finite periodic lattices
• Multi-class quantum classifiers with tensor network circuits for quantum phase recognition
• Hybrid convolutional neural network and PEPS wave functions for quantum many-particle states
• Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions
• Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state
• Tensor network representations of parton wave functions
• Rigorous free fermion entanglement renormalization from wavelet theory
• Proposal for Quantum Simulation via All-Optically Generated Tensor Network States
• Fundamental limitations in the purifications of tensor networks
• Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles
• Accurate simulation for finite projected entangled pair states in two dimensions
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice
• Operator backflow and the classical simulation of quantum transport
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model
• A universal tensor network algorithm for any infinite lattice
• Demonstrating the AKLT spectral gap on 2D degree-3 lattices
• Spontaneous emissions and thermalization of cold bosons in optical lattices
• Quantum time crystals with programmable disorder in higher dimensions
• Complete quantum-inspired framework for computational fluid dynamics
• Nondestructive Probing of Means, Variances, and Correlations of Ultracold-Atomic-System Densities via Qubit Impurities
• Efficient quantum amplitude encoding of polynomial functions
• Quantum spin systems on infinite lattices
• Area-law entangled eigenstates from nullspaces of local Hamiltonians
• Conversion of projected entangled pair states into a canonical form
• Time evolution of projected entangled pair states in the single layer picture
• Generalized Transfer Matrix States from Artificial Neural Networks
• Delocalized information in quantum networks
• Continuous Tensor Network States for Quantum Fields
• Full two-photon downconversion of just a single photon
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• Spectral gaps of AKLT Hamiltonians using Tensor Network methods
• Preparing Bethe Ansatz Eigenstates on a Quantum Computer
• Thermal Tensor Renormalization Group Simulations of Square-Lattice Quantum Spin Models
• Entanglement patterns and generalized correlation functions in quantum many body systems
• Frustration and Multicriticality in the Antiferromagnetic Spin-1 Chain
• Simulating large-size quantum spin chains on cloud-based superconducting quantum computers
• Density Matrix Renormalization Group with Tensor Processing Units
• Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching
• Dynamics of quantum information in many-body localized systems
• Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Unfrustrated Qudit Chains and their Ground States
• MERA for Spin Chains with Continuously Varying Criticality
• Anyonic entanglement renormalization
• Simulating 2+1d ${\mathbb{Z}}_3$ lattice gauge theory with iPEPS
• Entanglement Renormalization for Weakly Interacting Fields
• Many-body open quantum systems beyond Lindblad master equations
• Classification of Matrix-Product Unitaries with Symmetries
• Entanglement structure of the Hubbard model in momentum space
• Equipartition of Entanglement in Quantum Hall States
• Categorical Tensor Network States
• Community Detection in Quantum Complex Networks
• Anatomy of quantum critical wave functions in dissipative impurity problems
• Efficient Simulation of Dynamics in Two-Dimensional Quantum Spin Systems with Isometric Tensor Networks
• Light cone tensor network and time evolution
• Multi-particle content of Majorana zero-modes in the interacting p-wave wire
• Efficient algorithms for tensor scaling, quantum marginals and moment polytopes
• Practical learning method for multi-scale entangled states
• Universal measurement-based quantum computation with spin-2 Affleck-Kennedy-Lieb-Tasaki states
• Device-independent detection of genuine multipartite entanglement for all pure states
• Dynamics and large deviation transitions of the XOR-Fredrickson-Andersen kinetically constrained model
• Energy as a detector of nonlocality of many-body spin systems
• Towards experimental quantum field tomography with ultracold atoms
• Open System Tensor Networks and Kramers' Crossover for Quantum Transport
• Non-thermalization in trapped atomic ion spin chains
• Single photons by quenching the vacuum
• Scaling of neural-network quantum states for time evolution
• Tensor network simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d
• Classical versus Quantum: comparing Tensor Network-based Quantum Circuits on LHC data
• Re-entrance and entanglement in the one-dimensional Bose-Hubbard model
• A quantum-inspired method for solving the Vlasov-Poisson equations
• Quantum Field Theory for the Three-Body Constrained Lattice Bose Gas -- Part II: Application to the Many-Body Problem
• Matchgate and space-bounded quantum computations are equivalent
• Plaquette Valence Bond Theory of High-Temperature Superconductivity
• Ultrafast ab-initio Quantum Chemistry Using Matrix Product States
• Gauging tensor networks with belief propagation
• Anomalies and entanglement renormalization
• Rise and fall, and slow rise again, of operator entanglement under dephasing
• Infinite Projected Entangled-Pair State algorithm for ruby and triangle-honeycomb lattices
• Spin Topological Field Theory and Fermionic Matrix Product States
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Modified spin-wave theory with ordering vector optimization I: frustrated bosons on the spatially anisotropic triangular lattice
• Probing thermalization through spectral analysis with matrix product operators
• Symmetry breaking and criticality in tensor-product states
• Multipartitioning topological phases by vertex states and quantum entanglement
• Stability of encoded macroscopic quantum superpositions
• Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
• Central charges of aperiodic holographic tensor network models
• Combined unitary and symmetric group approach applied to low-dimensional spin systems
• A discriminating string order parameter for topological phases of gapped SU(N) spin chains
• Local characterization of 1d topologically ordered states
• Interference in a Prototype of a two-dimensional Ion Trap Array Quantum Simulator
• Atomic matter-wave revivals with definite atom number in an optical lattice
• Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
• Continuum tensor network field states, path integral representations and the encoding of spatial symmetries
• The Feynman-Kitaev computer's clock: bias, gaps, idling and pulse tuning
• Majorana dimers and holographic quantum error-correcting codes
• Quantum Skyrmion Lattices in Heisenberg Ferromagnets
• Density-matrix based determination of low-energy model Hamiltonians from ab initio wavefunctions
• Normal projected entangled pair states generating the same state
• Self-assembling tensor networks and holography in disordered spin chains
• Featureless quantum insulator on the honeycomb lattice
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Impurity entanglement entropy in Kondo systems from conformal field theory
• Dressed, noise- or disorder- resilient optical lattices
• Lattice model constructions for gapless domain walls between topological phases
• Algebraically contractible topological tensor network states
• Tensor-network study of correlation-spreading dynamics in the two-dimensional Bose-Hubbard model
• Efficient tensor network representation for Gutzwiller projected states of paired fermions
• Lattice Gauge Theories and Spin Models
• Many-Body Open Quantum Systems
• Fermionic topological quantum states as tensor networks
• A programming guide for tensor networks with global $SU(2)$ symmetry
• Detecting genuine multipartite entanglement of pure states with bipartite correlations
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Nonlinear quantum optics in the (ultra)strong light-matter coupling
• Projector quantum Monte Carlo with matrix product states
• Towards overcoming the Monte Carlo sign problem with tensor networks
• QGOpt: Riemannian optimization for quantum technologies
• How much entanglement is needed to reduce the energy variance?
• Variational autoencoder reconstruction of complex many-body physics
• Topologically protected measurement-based quantum computation on the thermal state of a nearest-neighbor two-body Hamiltonian with spin-3/2 particles
• Lieb-Liniger model with exponentially-decaying interactions: a continuous matrix product state study
• Hyper-optimized approximate contraction of tensor networks with arbitrary geometry
• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
• Solving frustration-free spin systems
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Local convertibility and the quantum simulation of edge states in many-body systems
• Renormalization Group Circuits for Weakly Interacting Continuum Field Theories
• Qubit(s) transfer in helical spin chains
• Condensation-Driven Phase Transitions in Perturbed String Nets
• Comb tensor networks
• A beginner's guide to non-abelian iPEPS for correlated fermions
• Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
• Finite time large deviations via matrix product states
• Tensor network approach to the two-dimensional fully frustrated XY model and a chiral ordered phase
• Entanglement-guided architectures of machine learning by quantum tensor network
• Random tensor networks with nontrivial links
• Lectures on Quantum Tensor Networks
• Ground states of unfrustrated spin Hamiltonians satisfy an area law
• Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
• Site-Occupation Embedding Theory using Bethe Ansatz Local Density Approximations
• The "not-A", RSPT and Potts phases in an $S_3$-invariant chain
• Geometric Quantum Information Structure in Quantum Fields and their Lattice Simulation
• Irreducible forms of Matrix Product States: Theory and Applications
• Adiabatic cooling of bosons in lattices to magnetic ordering
• Holographic Tensor Networks in Full AdS/CFT
• Mutual information area laws for thermal free fermions
• Real-time scattering of interacting quasiparticles in quantum spin chains
• Fermionic entanglement in the Lipkin model
• Optimal sampling of dynamical large deviations via matrix product states
• Entanglement does not generally decrease under renormalization
• Local Unitary Equivalence of Multi-qubit Mixed quantum States
• Solving frustrated Ising models using tensor networks
• Three-dimensional isometric tensor networks
• Absence of spin liquid phase in the $J_1-J_2$ Heisenberg model on the square lattice
• Entangled and sequential quantum protocols with dephasing
• Entanglement entropy and the complex plane of replicas
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Stochastic Approach to Non-Equilibrium Quantum Spin Systems
• Reservoir engineering with localized dissipation: dynamics and pre-thermalization
• Automated construction of $U(1)$-invariant matrix-product operators from graph representations
• Tensor Networks with a Twist: Anyon-permuting domain walls and defects in PEPS
• Optimal free descriptions of many-body theories
• Classification of Matrix Product States with a Local (Gauge) Symmetry
• Stochastic Matrix Product States
• Phase coherence of pairs of Cooper pairs as quasi-long-range order of half-vortex pairs in a two-dimensional bilayer system
• Finite temperature tensor network study of the Hubbard model on an infinite square lattice
• Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency
• Fixed-Point Quantum Circuits for Quantum Field Theories
• Photon propagation through dissipative Rydberg media at large input rates
• Few-body systems capture many-body physics: tensor network approach
• Majorana Spin Liquids, Topology and Superconductivity in Ladders
• Dynamical mean-field theory of indirect magnetic exchange
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• Approximating power of machine-learning ansatz for quantum many-body states
• The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
• Trimer states with ${\mathbb{Z}}_3$ topological order in Rydberg atom arrays
• Fermionic Matrix Product States and One-Dimensional Short-Range Entangled Phases with Anti-Unitary Symmetries
• Strings of ultracold molecules in a synthetic dimension
• Adaptive-weighted tree tensor networks for disordered quantum many-body systems
• Single-layer tensor network study of the Heisenberg model with chiral interactions on a kagome lattice
• Automatically Differentiable Quantum Circuit for Many-qubit State Preparation
• Detecting and identifying 2D symmetry-protected topological, symmetry-breaking and intrinsic topological phases with modular matrices via tensor-network methods
• Real-time scattering in the lattice Schwinger model
• Symmetric cluster expansions with tensor networks
• Dynamical disentangling and cooling of atoms in bilayer optical lattices
• The quantum Allan variance
• Kitaev honeycomb tensor networks: exact unitary circuits and applications
• Truncating an exact Matrix Product State for the XY model: transfer matrix and its renormalisation
• Incremental Embedding: A Density Matrix Embedding Scheme for Molecules
• Quasi One Dimensional Pair Density Wave Superconducting State
• Optimal sampling of dynamical large deviations in two dimensions via tensor networks
• Time-dependent variational principle with controlled bond expansion for matrix product states
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Matrix product states for Hartree-Fock-Bogoliubov wave functions
• Emergence of solitons from many-body photon bound states in quantum nonlinear media
• Symmetry Breaking and Convex Set Phase Diagrams for the q-state Potts Model
• Benchmarking Quantum Computer Simulation Software Packages: State Vector Simulators
• Symmetry Breaking and the Geometry of Reduced Density Matrices
• Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques
• Visualizing Quantum Phases And Identifying Quantum Phase Transitions By Nonlinear Dimensionality Reduction
• Continuous matrix product operator approach to finite temperature quantum states
• Matrix product states and the nonabelian rotor model
• Quantum information in the Posner model of quantum cognition
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Thermal States as Convex Combinations of Matrix Product States
• The density matrix renormalization group algorithm on kilo-processor architectures: implementation and trade-offs
• Time Evolution of an Infinite Projected Entangled Pair State: an Algorithm from First Principles
• Neural Network Evolution Strategy for Solving Quantum Sign Structures
• Lee-Yang theory of criticality in interacting quantum many-body systems
• Tensor network study of the spin-1/2 Heisenberg anti-ferromagnet on the Shuriken lattice
• Ternary unitary quantum lattice models and circuits in $2+1$ dimensions
• Local integrals of motion detection of localization-protected topological order
• Long-Range Entangled-Plaquette States for Critical and Frustrated Quantum Systems on a Lattice
• Tensor networks for interpretable and efficient quantum-inspired machine learning
• Quantum verification and estimation with few copies
• Exploring phase transitions by finite-entanglement scaling of MPS in the 1D ANNNI model
• Dynamical hysteresis properties of the driven-dissipative Bose-Hubbard model with a Gutzwiller Monte Carlo approach
• Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell
• Simulating quantum circuits using tree tensor networks
• Time evolution of an infinite projected entangled pair state: a gradient tensor update in the tangent space
• Generation of Photonic Matrix Product States with Rydberg Atomic Arrays
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Computing the Degenerate Ground Space of Gapped Spin Chains in Polynomial Time
• On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
• Emergent conservation laws and nonthermal states in the mixed-field Ising model
• Quantum phase diagram of spin-$1$ $J_1-J_2$ Heisenberg model on the square lattice: an infinite projected entangled-pair state and density matrix renormalization group study
• Quantum Machine Learning Tensor Network States
• Growth of genuine multipartite entanglement in random unitary circuits
• Extensive Long-Range Entanglement in a Nonequilibrium Steady State
• Experimental realization of a quantum image classifier via tensor-network-based machine learning
• Analysis of quantum spin models on hyperbolic lattices and Bethe lattice
• Slow dynamics and large deviations in classical stochastic Fredkin chains
• Schrödinger-Heisenberg Variational Quantum Algorithms
• Fermionic Measurement-based Quantum Computation
• Interacting spins in a cavity: finite size effects and symmetry-breaking dynamics
• Local Unitary Invariants of Generic Multi-qubit States
• Systematic construction of density functionals based on matrix product state computations
• Variational classical networks for dynamics in interacting quantum matter
• Network coding for distributed quantum computation over cluster and butterfly networks
• Stability of the Trotter-Suzuki decomposition
• Mutual Information Scaling for Tensor Network Machine Learning
• Emergence of string-valence bond solid state in the frustrated $J_1-J_2$ transverse field Ising model on the square lattice
• Symmetry Protected Quantum State Renormalization
• Dealing with the exponential wall in electronic structure calculations
• Designing quantum many-body matter with conditional generative adversarial networks
• Area law violations in a supersymmetric model
• Approximate optimization, sampling and spin-glass droplets discovery with tensor networks
• Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
• Continuous matrix product states for non-relativistic quantum fields: a lattice algorithm for inhomogeneous systems
• Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles
• Capturing long range correlations in two-dimensional quantum lattice systems using correlator product states
• The classical two-dimensional Heisenberg model revisited: An $SU(2)$-symmetric tensor network study
• Approaching Many-Body Localization from Disordered Luttinger Liquids via the Functional Renormalization Group
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Gradient optimization of fermionic projected entangled pair states on directed lattices
• Restricted Boltzmann Machines and Matrix Product States of 1D Translational Invariant Stabilizer Codes
• Hypothesis testing with open quantum systems
• Entanglement estimation in tensor network states via sampling
• A complex network description of thermal quantum states in the Ising spin chain
• Approximating local observables on projected entangled pair states
• Almost-conserved operators in nearly many-body localized systems
• Quantum Compressed Sensing with Unsupervised Tensor-Network Machine Learning
• Quantum phases of a chain of strongly interacting anyons
• Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula
• Stabilizer disentangling of conformal field theories
• Lee-Yang theory of the two-dimensional quantum Ising model
• Quantum Critical Probing and Simulation of Colored Quantum Noise
• Purification to Locally Maximally Entangleable States
• Language Design as Information Renormalization
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States
• Quantum sine-Gordon dynamics in coupled spin chains
• Cluster Gutzwiller Monte Carlo approach for a critical dissipative spin model
• Locating quantum critical points with Kibble-Zurek quenches
• Entanglement spectra of the q-deformed Affleck-Kennedy-Lieb-Tasaki model and matrix product states
• Classical algorithms for many-body quantum systems at finite energies
• Capturing exponential variance using polynomial resources: applying tensor networks to non-equilibrium stochastic processes
• Simulating topological tensor networks with Majorana qubits
• Single Shot Quantum State Estimation via a Continuous Measurement in the Strong Backaction Regime
• Nuclear norm regularized loop optimization for tensor network
• Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems
• Infinite matrix product states, boundary conformal field theory, and the open Haldane-Shastry model
• Quantum Quench and Charge Oscillations in the SU(3) Hubbard Model: a Test of Time Evolving Block Decimation with general non-Abelian Symmetries
• Canonical Transformations and Loop Formulation of SU(N) Lattice Gauge Theories
• An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation
• Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
• Efficient sampling of noisy shallow circuits via monitored unraveling
• Chiral spin liquids on the kagome lattice with projected entangled simplex states
• Comparing bipartite entropy growth in open-system matrix-product simulation methods
• Quantum dimensions from local operator excitations in the Ising model
• Boson condensation and instability in the tensor network representation of string-net states
• Spectral Gap and Edge Excitations of $d$-dimensional PVBS models on half-spaces
• Tensor network simulation of the quantum Kibble-Zurek quench from the Mott to superfluid phase in the two-dimensional Bose-Hubbard model
• Simulating both parity sectors of the Hubbard Model with Tensor Networks
• Surrogate models for quantum spin systems based on reduced order modeling
• Assessing and Advancing the Potential of Quantum Computing: A NASA Case Study
• Local minima in quantum systems
• Mathematical open problems in Projected Entangled Pair States
• Undecidability in Tensor Network States
• Efficient evaluation of high-order moments and cumulants in tensor network states
• Entanglement Features of Random Neural Network Quantum States
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Quantum simulations of a qubit of space
• Bell correlations at finite temperature
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Renormalization Group Circuits for Gapless States
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate
• Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
• Matrix product state renormalization
• Fermionic algebraic quantum spin liquid in an octa-kagome frustrated antiferromagnet
• Abelian and non-abelian symmetries in infinite projected entangled pair states
• Can neural quantum states learn volume-law ground states?
• Tangent-Space Gradient Optimization of Tensor Network for Machine Learning
• Exact Thermal Eigenstates of Nonintegrable Spin Chains at Infinite Temperature
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Search for localized Wannier functions of topological band structures via compressed sensing
• Tensor network representations from the geometry of entangled states
• Discretized quantum adiabatic process for free fermions and comparison with the imaginary-time evolution
• Unsupervised Recognition of Informative Features via Tensor Network Machine Learning and Quantum Entanglement Variations
• Complex Time Evolution in Tensor Networks
• Simulating gauge theories with variational quantum eigensolvers in superconducting microwave cavities
• Generating Quantum States through Spin Chain Dynamics
• Ryu-Takayanagi Formula for Symmetric Random Tensor Networks
• Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
• Density of States of Quantum Spin Systems from Isotropic Entanglement
• Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
• Weak first-order phase transitions in the frustrated square lattice J1-J2 classical Ising model
• Efficient Quantum Simulation for Thermodynamics of Infinite-size Many-body Systems in Arbitrary Dimensions
• Virtual Parallel Computing and a Search Algorithm using Matrix Product States
• Ab initio optimization principle for the ground states of translationally invariant strongly correlated quantum lattice models
• Block belief propagation algorithm for two-dimensional tensor networks
• Quantum State Tomography with Locally Purified Density Operators and Local Measurements
• Quantum State Tomography for Matrix Product Density Operators
• Ground state search by local and sequential updates of neural network quantum states
• Noise effects on purity and quantum entanglement in terms of physical implementability
• $2^{1296}$ Exponentially Complex Quantum Many-Body Simulation via Scalable Deep Learning Method
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
• Optimization schemes for unitary tensor-network circuit
• Theory of Ergodic Quantum Processes
• An ergodic theorem for quantum processes with applications to matrix product states
• Quantum-Inspired Fluid Simulation of 2D Turbulence with GPU Acceleration
• Spin-one bilinear-biquadratic model on a star lattice
• Locality at the boundary implies gap in the bulk for 2D PEPS
• Entanglement entropy and boundary renormalization group flow - exact results in the Ising universality class
• Multipartite correlations in quantum collision models
• Density of Yang-Lee zeros in the thermodynamic limit from tensor network methods
• Formation of classical crystals of dipolar particles in a helical geometry
• Topological lattice field theories from intertwiner dynamics
• Partial long-range order in antiferromagnetic Potts models
• All spin-1 topological phases in a single spin-2 chain
• Stiffness in 1D Matrix Product States with periodic boundary conditions
• Time-dependent currents of 1D bosons in an optical lattice
• From spin chains to real-time thermal field theory using tensor networks
• The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
• Approximating the long time average of the density operator: Diagonal ensemble
• Tensor renormalization group in bosonic field theory
• Implementation of rigorous renormalization group method for ground space and low-energy states of local Hamiltonians
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• Spin-supersolid phase in Heisenberg chains: a characterization via Matrix Product States with periodic boundary conditions
• Differentiable Programming of Isometric Tensor Networks
• Density-of-states of many-body quantum systems from tensor networks
• Topological ${\mathbb{Z}}_2$ RVB quantum spin liquid on the ruby lattice
• Link representation of the entanglement entropies for all bipartitions
• Symmetry-respecting real-space renormalization for the quantum Ashkin-Teller model
• Matrix-Product based Projected Wave Functions Ansatz for Quantum Many-Body Ground States
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems
• Entanglement renormalization and boundary critical phenomena
• Quantum kinetic Ising models
• Holographic Geometries of one-dimensional gapped quantum systems from Tensor Network States
• A brief introduction to multipartite entanglement
• Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States
• High-dimensional entanglement witnessed by correlations in arbitrary bases
• Open source Matrix Product States: Exact diagonalization and other entanglement-accurate methods revisited in quantum systems
• Hybrid Berezinskii-Kosterlitz-Thouless and Ising topological phase transition in the generalized two-dimensional XY model using tensor networks
• Certifying ground-state properties of quantum many-body systems
• Frustrated Quantum Magnetism with Bose Gases in Triangular Optical Lattices at Negative Absolute Temperatures
• Uhlmann fidelities from tensor networks
• Long-Range Non-Equilibrium Coherent Tunneling Induced by Fractional Vibronic Resonances
• Universal shift of the fidelity susceptibility peak away from the critical point of the Berezinskii-Kosterlitz-Thouless quantum phase transition
• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Converting long-range entanglement into mixture: tensor-network approach to local equilibration
• Connecting probability distributions of different operators and generalization of the Chernoff-Hoeffding inequality
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
• Nonstabilizerness dynamics in many-body localized systems
• Scaling theory of entanglement entropy in confinements near quantum critical points
• Monte Carlo simulation of stoquastic Hamiltonians
• Classification of symmetry-protected topological many-body localized phases in one dimension
• Derivation of the Ghost Gutzwiller Approximation from Quantum Embedding principles: the Ghost Density Matrix Embedding Theory
• Fine-Grained Tensor Network Methods
• Accurate calculation of the geometric measure of entanglement for multipartite quantum states
• Quantifying the effect of interactions in quantum many-body systems
• Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States -- Super-Matrix Product State Formalism
• Simulating quantum systems on the Bethe lattice by translationally invariant infinite-Tree Tensor Network
• Characterizing the quantum field theory vacuum using temporal Matrix Product states
• Criticality in Two-Dimensional Quantum Systems: Tensor Network Approach
• Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models
• Functional Tensor Network Solving Many-body Schrödinger Equation
• Tensor Network Methods for Invariant Theory
• Disentangling Sources of Quantum Entanglement in Quench Dynamics
• Polynomial scaling enhancement in ground-state preparation of Ising spin models via counter-diabatic driving
• Symmetry Resolution in non-Lorentzian Field Theories
• Quantum Causal Unravelling
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Entanglement and confinement in lattice gauge theory tensor networks
• Determining non-Abelian topological order from infinite projected entangled pair states
• Entanglement entropy scaling of the XXZ chain
• Matrix product states for Hamiltonian lattice gauge theories
• On the descriptive power of Neural-Networks as constrained Tensor Networks with exponentially large bond dimension
• A graphical calculus for integration over random diagonal unitary matrices
• Large-scale simulations of Floquet physics on near-term quantum computers
• Thermalization of strongly interacting bosons after spontaneous emissions in optical lattices
• Entanglement and the density matrix renormalisation group in the generalised Landau paradigm
• Entanglement sum rules in exactly solvable models
• Doublon dynamics of Bose-Fermi mixtures in optical lattices
• A Nonequilibrium quantum phase transition in strongly coupled spin chains
• Two dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
• Cluster expansion for ground states of local Hamiltonians
• Signatures of broken parity and time-reversal symmetry in generalized string-net models
• Extensive v2DM study of the one-dimensional Hubbard model for large lattice sizes: Exploiting translational invariance and parity
• Unsupervised mapping of phase diagrams of 2D systems from infinite projected entangled-pair states via deep anomaly detection
• Dynamics of correlation spreading in low-dimensional transverse-field Ising models
• Continuum limits of Matrix Product States
• Semiclassical Prediction of Large Spectral Fluctuations in Interacting Kicked Spin Chains
• Deep learning Local Reduced Density Matrices for Many-body Hamiltonian Estimation
• Dimension of Tensor Network varieties
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Tensor network approaches for learning non-linear dynamical laws
• Entanglement spectra of q-deformed higher spin VBS states
• Quantum trajectories for time-local non-Lindblad master equations
• Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
• Derivation of matrix product states for the Heisenberg spin chain with open boundary conditions
• Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
• Accumulative reservoir construction: Bridging continuously relaxed and periodically refreshed extended reservoirs
• Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
• Quantum Earth mover's distance, No-go Quantum Kantorovich-Rubinstein theorem, and Quantum Marginal Problem
• Multi-Region Entanglement in Locally Scrambled Quantum Dynamics
• End-to-end correlations in the Kitaev chain
• Quasi-particle interactions in frustrated Heisenberg chains
• How local is the information in MPS/PEPS tensor networks?
• Simulating local measurements on a quantum many body system with stochastic matrix product states
• Faster variational quantum algorithms with quantum kernel-based surrogate models
• Analytical approach to higher-order correlation functions in U(1) symmetric systems
• The scaling of entanglement entropy in a honeycomb lattice on a torus
• Computational Power and Correlation in Quantum Computational Tensor Network
• Matrix product states and the quantum max-flow/min-cut conjectures
• Convex Optimization for Nonequilibrium Steady States on a Hybrid Quantum Processor
• More on symmetry resolved operator entanglement
• Efficient Representation of Minimally Entangled Typical Thermal States in two dimensions via Projected Entangled Pair States
• Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks
• Monogamy of entanglement and improved mean-field ansatz for spin lattices
• Rapid mixing of path integral Monte Carlo for 1D stoquastic Hamiltonians
• Solvable Markovian dynamics of lattice quantum spin models
• Half a state, half an operator: a general formulation of stators
• Certificates of quantum many-body properties assisted by machine learning
• Compact Neural-network Quantum State representations of Jastrow and Stabilizer states
• Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
• Thermal bosons in 3d optical lattices via tensor networks
• Reduced basis surrogates for quantum spin systems based on tensor networks
• Quantum phase diagram of two-dimensional transverse field Ising model: unconstrained tree tensor network and mapping analysis
• Density of States of the lattice Schwinger model
• Dipoles on a Two-leg Ladder
• Rényi free energy and variational approximations to thermal states
• Amorphous quantum magnets in a two-dimensional Rydberg atom array
• Variational adiabatic transport of tensor networks
• Dynamical correlation functions from complex time evolution
• Thermalization in Kitaev's quantum double models via Tensor Network techniques
• A simplified and improved approach to tensor network operators in two dimensions
• Evidence of spin liquid with hard-core bosons in a square lattice
• Scalar mesons in the chiral theory with quark degrees of freedom
• Numerical detection of symmetry enriched topological phases with space group symmetry
• Efficient Quantum Circuit Compilation for Near-Term Quantum Advantage
• Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices
• U(1)-symmetric Gaussian fermionic projected entangled paired states and their Gutzwiller projection
• An Efficient Algorithmic Way to Construct Boltzmann Machine Representations for Arbitrary Stabilizer Code
• Quantum computational tensor network on string-net condensate
• Symmetry-resolved entanglement of 2D symmetry-protected topological states
• Adaptive Density Matrix Renormalization Group for Disordered Systems
• Determining topological order from infinite projected entangled pair states
• Multiple impurities and combined local density approximations in Site-Occupation Embedding Theory
• Locally purified density operators for noisy quantum circuits
• Tensor Networks for Explainable Machine Learning in Cybersecurity
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Quantum crystal growing: Adiabatic preparation of a bosonic antiferromagnet in the presence of a parabolic inhomogeneity
• Thermal Tensor Network Simulations of the Heisenberg Model on the Bethe Lattice
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Contrasting pseudo-criticality in the classical two-dimensional Heisenberg and ${\mathrm{RP}}^2$ models: zero-temperature phase transition versus finite-temperature crossover
• An Extension of ETH to Non-Equilibrium Steady States
• Variational Tensor Neural Networks for Deep Learning
• Entanglement of disjoint blocks in the one dimensional Spin 1 VBS
• Topological Minimally Entangled States via Geometric Measure
• Markovianity of an emitter coupled to a structured spin chain bath
• Wilson Loops and Area Laws in Lattice Gauge Theory Tensor Networks
• Exact renormalization in quantum spin chains
• AKLT-states as ZX-diagrams: diagrammatic reasoning for quantum states
• Neural-network Quantum States for Spin-1 systems: spin-basis and parameterization effects on compactness of representations
• Entanglement Mean Field Theory and the Curie-Weiss Law
• Tensor Renormalization Group Centered About a Core Tensor
• Emergent Causality and the N-photon Scattering Matrix in Waveguide QED
• Random insights into the complexity of two-dimensional tensor network calculations
• Tensor Network Computations That Capture Strict Variationality, Volume Law Behavior, and the Efficient Representation of Neural Network States
• Short-time vs. long-time dynamics of entanglement in quantum lattice models
• Infinite Matrix Product States vs Infinite Projected Entangled-Pair States on the Cylinder: a comparative study
• Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications
• Quantum phase transition between spin liquid and spin nematics in spin-1 Kitaev honeycomb model
• Entanglement and spectra in topological many-body localized phases
• Quantum Error-Detection at Low Energies
• Operator Space Entangling Power of Quantum Dynamics and Local Operator Entanglement Growth in Dual-Unitary Circuits
• Monte Carlo simulations of two-dimensional fermion systems with string-bond states
• Fermionic Magic Resources of Quantum Many-Body Systems
• Particle statistics and lossy dynamics of ultracold atoms in optical lattices
• Sampling diverse near-optimal solutions via algorithmic quantum annealing
• Entanglement propagation and dynamics in non-additive quantum systems
• $SL(2,R)$ lattices as information processors
• Simulating quantum dynamics in two-dimensional lattices with tensor network influence functional belief propagation
• Possible Observation of Quadrupole Waves in Spin Nematics
• Parton Distribution Functions in the Schwinger model from Tensor Network States
• Frustration-free Hamiltonians supporting Majorana zero edge modes
• Low-rank Tensor Grid for Image Completion
• Holographic encoding of universality in corner spectra
• Intertwined Orders and the Physics of High Temperature Superconductors
• Quantum Compression of Tensor Network States
• Simple embedding scheme for the spectral properties of the Single-Impurity Anderson Model
• Stack operation of tensor networks
• Thermal Pure States for Systems with Antiunitary Symmetries and Their Tensor Network Representations
• Symmetry-protected intermediate trivial phases in quantum spin chains
• Expectation values of Coherent States for $\mathrm{SU}(2)$ Lattice Gauge Theories
• Quantum Coherence in Ergodic and Many-Body Localized Systems
• Quantum supremacy in driven quantum many-body systems
• On model reduction for quantum dynamics: symmetries and invariant subspaces
• Privacy-preserving machine learning with tensor networks
• Cavity approach to variational quantum mechanics
• Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Tensorized orbitals for computational chemistry
• Matrix Product State representation for Slater Determinants and Configuration Interaction States
• Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
• Neural Network Quantum States analysis of the Shastry-Sutherland model
• SU(4) Kondo entanglement in double quantum dot devices
• Generalized mean field description of entanglement in dimerized spin systems
• TNSPackage: A Fortran2003 library designed for tensor network state methods
• Combination of Tensor Network States and Green's function Monte Carlo
• Size consistency of tensor network methods for quantum many-body systems
• Noisy induced entanglement transition in one-dimensional random quantum circuits
• Méthodes de calcul avec réseaux de tenseurs en physique (Basic tensor network computations in physics)
• Simulating fermions in spin-dependent potentials with spin models on an energy lattice
• Teleporting two-qubit entanglement across 19 qubits on a superconducting quantum computer
• An Exact Link between Nonlocal Nonstabilizerness and Operator Entanglement
• Suppressing Decoherence in Quantum Plasmonic Systems by Spectral Hole Burning Effect
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model
• Bang-bang algorithms for quantum many-body ground states: a tensor network exploration
• Crystalline structures in a one-dimensional two-component lattice gas with $1/r^{\alpha }$ interactions
• Probing the limits of variational quantum algorithms for nonlinear ground states on real quantum hardware: The effects of noise
• Quantum transport in one-dimensional systems via a master equation approach: Numerics and an exact solution
• Single-shot holographic compression from the area law
• Two-dimensional local Hamiltonian problem with area laws is QMA-complete
• Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory
• The Green's function Monte Carlo combined with projected entangled pair state approach to the frustrated $J_1$-$J_2$ Heisenberg model
• Quantum Tensor Product Decomposition from Choi State Tomography
• Biorthonormal Matrix-Product-State Analysis for Non-Hermitian Transfer-Matrix Renormalization-Group in the Thermodynamic Limit
• Residual Matrix Product State for Machine Learning
• Many-Body Simulations of the Fast Flavor Instability
• Loop Series Expansions for Tensor Networks
• A quantum information perspective on meson melting
• Tensor-network algorithm for nonequilibrium relaxation in the thermodynamic limit
• Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
• Computing quantum magic of state vectors
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Composite symmetry protected topological order and effective models
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Uncontrolled disorder effects in fabricating photonic quantum simulators on a kagome geometry: A projected-entangled pair state versus exact digonalization analysis
• Topological phases in two-legged Heisenberg ladders with alternating interactions
• Specialising Neural-network Quantum States for the Bose Hubbard Model
• Gutzwiller Renormalization Group
• Avoidance, Adjacency, and Association in Distributed Systems Design
• Fractal states of the Schwinger model
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Ground-state properties via machine learning quantum constraints
• Low-temperature Gibbs states with tensor networks
• Quantum-Classical Machine learning by Hybrid Tensor Networks
• Optimization of infinite projected entangled pair states: The role of multiplets and their breaking
• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
• Tensor-Network Approaches to Counting Statistics for the Current in a Boundary-Driven Diffusive System
• Simulation of Charge Stability Diagrams for Automated Tuning Solutions (SimCATS)
• Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder
• Triggering Boundary Phase Transitions through Bulk Measurements in 2D Cluster States
• Robust control of long distance entanglement in disordered spin chains
• Matrix product states and the decay of quantum conditional mutual information
• On Stability of Tensor Networks and Canonical Forms
• The resource theory of tensor networks
• Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
• Quantum phases of spin-1 system on 3/4 and 3/5 skewed ladders
• Efficient Quantum Circuits based on the Quantum Natural Gradient
• Quantum many-body solver using artificial neural networks and its applications to strongly correlated electron systems
• Distinguishing Phases with Ansatz Wavefunctions
• Exact block encoding of imaginary time evolution with universal quantum neural networks
• Limitations of tensor network approaches for optimization and sampling: A comparison to quantum and classical Ising machines
• Boltzmann machines and quantum many-body problems
• Spectral properties for a family of two-dimensional quantum antiferromagnets
• Entanglement Continuous Unitary Transformations
• Plaquette-type valence bond solid state in the $J_1$-$J_2$ square-lattice Heisenberg model
• Decoherence of many-body systems due to many-body interactions
• Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms
• Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
• Detecting transition between Abelian and non-Abelian topological orders through symmetric tensor networks
• Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
• Distilling momentum-space entanglement in Luttinger liquids at finite temperature
• Efficient conversion from fermionic Gaussian states to matrix product states
• Probabilistic Graphical Models and Tensor Networks: A Hybrid Framework
• Coarse-grained spectral projection (CGSP): a deep learning-assisted approach to quantum unitary dynamics
• A Method of Determining Excited-States for Quantum Computation
• A Spacetime Area Law Bound on Quantum Correlations
• The Future of the Correlated Electron Problem
• Accuracy of time-dependent GGE under weak dissipation
• Large-$S$ and tensor-network methods for strongly-interacting topological insulators
• The Interspersed Spin Boson Lattice Model
• Quantum phases of a frustrated spin-1 system: The 5/7 skewed ladder
• Kitaev honeycomb antiferromagnet in a field: quantum phase diagram for general spin
• Improved real-space parallelizable matrix-product state compression and its application to unitary quantum dynamics simulation
• Prethermalization of quantum systems interacting with non-equilibrium environments
• Non-unitarity maximizing unraveling of open quantum dynamics
• Partial Multipartite Entanglement in the Matrix Product State Formalism
• Properties of the simplest inhomogeneous and homogeneous Tree-Tensor-States for Long-Ranged Quantum Spin Chains with or without disorder
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Quantum spin chains and random matrix theory
• Non-Markovianity and memory of the initial state
• Dynamical quantum phase transition and thermal equilibrium in the lattice Thirring model
• Constructive Fermionic Matrix Product States for Projected Fermi Sea
• Probing Off-diagonal Eigenstate Thermalization with Tensor Networks
• Finite temperature tensor network algorithm for frustrated two-dimensional quantum materials
• Large deviations for correlated random variables described by a matrix product ansatz
• Time Evolution and Deterministic Optimisation of Correlator Product States
• Tensor Renormalization Group for interacting quantum fields
• Fermionic phases and their transitions induced by competing finite-range interactions
• A new strategy for directly calculating the minimum eigenvector of matrices without diagonalization
• Effective spin physics in two-dimensional cavity QED arrays
• Efficient Computation of the Permanent of Block Factorizable Matrices
• Plaquette valence bond state in spin-1/2 J1-J2 XY model on square lattice
• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• Deconfined quantum criticality of frustrated hard-core dipolar bosons
• Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators
• Emergent quantum matter in graphene nanoribbons
• Loop update for infinite projected entangled-pair states in two spatial dimensions
• Simulation of Quantum Many-Body Systems on Amazon Cloud
• Gleipnir: Toward Practical Error Analysis for Quantum Programs (Extended Version)
• Quantum trajectories for the variational description of closed systems: a case study with Gaussian states
• Bang-bang preparation of quantum many-body ground states in two dimensions: optimization of the algorithm with a two-dimensional tensor network
• Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
• Lower and Upper Bounds on the VC-Dimension of Tensor Network Models
• Tensor network non-zero testing
• Hyperoptimized approximate contraction of tensor networks for rugged-energy-landscape spin glasses on periodic square and cubic lattices
• Entanglement at the interplay between single- and many-bodyness
• Exactly Solvable 1D Quantum Models with Gamma Matrices
• Measuring multipartite quantum correlations by thermodynamic work extraction
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
• Dynamical symmetry in quantum dissipative models
• Quantum control without quantum states
• Establishing simple relationship between eigenvector and matrix elements
• Efficient tensor network simulation of multi-emitter non-Markovian systems
• Tensor-Networks-based Learning of Probabilistic Cellular Automata Dynamics
• Residual Entropy of Ice: A Study Based on Transfer Matrices
• Lieb-Robinson Bounds on Entanglement Gaps from Symmetry-Protected Topology
• Fermi Machine -- Quantum Many-Body Solver Derived from Correspondence between Noninteracting and Strongly Correlated Fermions
• Phase-Space Methods for Many-Body Quantum Optics
• Dimension truncation for open quantum systems in terms of tensor networks
• Influence functional of many-body systems: temporal entanglement and matrix-product state representation
• Scaling of diffusion constants in perturbed easy-axis Heisenberg spin chains
• Multipartite quantum correlations in a two-mode Dicke model
• Optimized Implementation for Calculation and Fast-Update of Pfaffians Installed to the Open-Source Fermionic Variational Solver mVMC
• A measurement driven analog of adiabatic quantum computation for frustration-free Hamiltonians
• Adaptive measurement strategy for quantum subspace methods
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches
• Two-beam Multiparticle Many-body simulations of Inhomogeneous FFI
• Universal scaling laws in quantum-probabilistic machine learning by tensor network towards interpreting representation and generalization powers
• Simulating Quantum Turbulence with Matrix Product States
• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Generalized Hartree Fock Theory for Dispersion Relations of Interacting Fermionic Lattice Systems
• The walk-sum method for simulating quantum many-body systems
• PEPS++: Towards Extreme-scale Simulations of Strongly Correlated Quantum Many-particle Models on Sunway TainhuLight
• Measurement-based quantum computation using two-component BECs
• Quantum generative modeling for financial time series with temporal correlations
• Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model
• Complex best $r$-term approximations almost always exist in finite dimensions
• Exact bosonic Matrix Product States (and holography)
• A quantum inspired approach to learning dynamical laws from data -- block-sparsity and gauge-mediated weight sharing
• Applications of differential geometry and representation theory to description of quantum correlations
• Dynamics and Geometry of Entanglement in Many-Body Quantum Systems
• Tensor Network for Anomaly Detection in the Latent Space of Proton Collision Events at the LHC
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• A Quantum-Inspired Algorithm for Wave Simulation Using Tensor Networks
• Scalable projected entangled-pair state representation of random quantum circuit states
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Energy current manipulation and reversal of rectification in graded XXZ spin chains
• Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry
• Classification of matrix product ground states corresponding to one dimensional chains of two state sites of nearest neighbor interactions
• Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm
• Multilayer wave functions: A recursive coupling of local excitations
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• Learning topological defects formation with neural networks in a quantum phase transition
• Les Houches Lecture Notes on Tensor Networks
• Two-stage melting of an inter-component Potts long-range order in two dimensions
• Optimal sampling of tensor networks targeting wave function's fast decaying tails
• A hybrid method integrating Green's function Monte Carlo and projected entangled pair states
• Quantum phase diagram of the spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the square-kagome lattice: a tensor network study
• Neuralized Fermionic Tensor Networks for Quantum Many-Body Systems
• Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian
• Entanglement transitions in a boundary-driven open quantum many-body system
• Lindblad quantum dynamics from correlation functions of classical spin chains
• Efficient 2D Tensor Network Simulation of Quantum Systems
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• The robustness condition for general disordered discrete time crystals, and subspace-thermal DTCs from phase transitions between different n-tuple DTCs
• Seeding neural network quantum states with tensor network states
• Characterizing the parent Hamiltonian for a complete set of orthogonal wave functions: An inverse quantum problem
• Machine Learning Entanglement Freedom Or: How I Learned to Stop Worrying and Love Linear Regression
• Tensor Network Efficiently Representing Schmidt Decomposition of Quantum Many-Body States
• Ground-state phase diagram of the SU($4$) Heisenberg model on a plaquette lattice
• Generating Generalised Ground-State Ansatzes from Few-Body Examples
• Non-onsite symmetries and quantum teleportation in split-index matrix product states
• Committor functions via tensor networks
• Exploiting many-body localization for scalable variational quantum simulation
• Lifshitz transition in the phase diagram of two-leg $t$-$J$ ladder systems at low filling
• The infinite occupation number basis of bosons - solving a numerical challenge
• Quantum max-flow in the bridge graph
• A Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics
• Deformations of the Boundary Theory of the Square Lattice AKLT Model
• Single-photon scattering with counter rotating wave interaction
• Quantum Capacities for Entanglement Networks
• Efficiency of free auxiliary models in describing interacting fermions: from the Kohn-Sham model to the optimal entanglement model
• Homological Tools for the Quantum Mechanic
• Entanglement distance between quantum states and its implications for density-matrix-renormalization-group study of degenerate ground-states
• Variational methods for characterizing matrix product operator symmetries
• Efficient approximation for global functions of matrix product operators
• Towards a better understanding of the matrix product function approximation algorithm in application to quantum physics
• Conserved operators and exact conditions for pair condensation
• SpinGlassPEPS.jl: Tensor-network package for Ising-like optimization on quasi-two-dimensional graphs
• Real-space spectral simulation of quantum spin models: Application to generalized Kitaev models
• Bound on entanglement in neural quantum states
• On the simplest scale invariant Tree-Tensor-States preserving the quantum symmetries of the antiferromagnetic XXZ chain
• Gauge-Fixing Quantum Density Operators At Scale
• Numerically exact quantum dynamics with tensor networks: Predicting the decoherence of interacting spin systems
• Harnessing Quantum Dynamics for Robust and Scalable Quantum Extreme Learning Machines
• Snapshot spectra in the world-line quantum Monte Carlo for one-dimensional quantum spin systems
• Exact epidemic models from a tensor product formulation
• Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms
• GuiTeNet: A graphical user interface for tensor networks
• Towards Symmetry-Aware Efficient Simulation of Quantum Systems and Beyond
• Representation Theorem for Matrix Product States
• Variational matrix product states for combinatorial optimization
• Leaf-to-leaf distances in Catalan trees
• Tensor Networks for Entanglement Evolution
• Dispersion Relations in Two- and Three-Dimensional Quantum Systems
• Phase structure of the one-dimensional ${\mathbb{Z}}_2$ lattice gauge theory with second nearest-neighbor interactions
• Quantum Effects In Low Temperature Bosonic Systems
• On the direct diagonalization method for a few particles trapped in harmonic potentials
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Dynamical quantum phase transitions on random networks
• Truncating loopy tensor networks by zero-mode gauge fixing
• Spin current through an ESR quantum dot: A real-time study
• Learning Minimal Representations of Fermionic Ground States
• Dissipative engineering a tripartite Greenberger-Horne-Zeilinger state for neutral atoms
• Tensor Network Lattice Boltzmann Method for Data-Compressed Fluid Simulations
• (Quantum) Fractional Brownian Motion and Multifractal Processes under the Loop of a Tensor Networks
• Tensor network states for the description of quantum many-body systems
• Self-interacting processes via Doob conditioning
• Genuine fidelity gaps associated with a sequential decomposition of genuinely entangling isometry and unitary operations
• Excited states from local effective Hamiltonians of matrix product states and their entanglement spectrum transition
• Symmetry-enforced minimal entanglement and correlation in quantum spin chains
• Explicit properties of the simplest inhomogeneous Matrix-Product-State including the Riemann metric of the MPS manifold
• Emulation of large-scale qubit registers with a phase-space approach
• Low-dimensional quantum systems
• Agnostic Tomography of Stabilizer Product States
• Limits of Clifford Disentangling in Tensor Network States
• Entanglement scaling and criticality of infinite-size quantum many-body systems in continuous space addressed by a tensor network approach
• Trainable Quantum Neural Network for Multiclass Image Classification with the Power of Pre-trained Tree Tensor Networks
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs
• Characterizing quantum phase transition by teleportation
• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures
• Quantum information and statistical mechanics: an introduction to frontier
• Matrix-product entanglement characterizing the optimality of state-preparation quantum circuits
• Weak coupling theory of nickel-based 327 superconductors
• Operator entanglement in $\mathrm{SU}(2)$-symmetric dissipative quantum many-body dynamics
• Efficient classical simulation of the Gisin-Massar quantum cloning machine
• Process Tensor Approaches to Non-Markovian Quantum Dynamics
• Matrix product states and first quantization
• Global and short-range entanglement properties in excited, many-body localized spin chains
• Information Bounds on phase transitions in disordered systems
• Holographic Tensor Networks as Tessellations of Geometry
• Out-of-equilibrium physics in driven dissipative coupled resonator arrays
• Understanding the Schrodinger equation as a kinematic statement: A probability-first approach to quantum
• Symmetry resolved out-of-time-order correlators of Heisenberg spin chains using projected matrix product operators
• Variational decision diagrams for quantum-inspired machine learning applications
• A minimal tensor network beyond free fermions
• Learning a compass spin model with neural network quantum states