Matrix Product Density Operators: Simulation of finite-T and dissipative systems

Abstract

We show how to simulate numerically both the evolution of 1D quantum systems under dissipation as well as in thermal equilibrium. The method applies to both finite and inhomogeneous systems and it is based on two ideas: (a) a representation for density operators which extends that of matrix product states to mixed states; (b) an algorithm to approximate the evolution (in real or imaginary time) of such states which is variational (and thus optimal) in nature.

See also M. Zwolak et al. cond-mat/0406440

References in corpus (1)

• Diverging Entanglement Length in Gapped Quantum Spin Systems

Cited by in corpus (420)

• The density-matrix renormalization group in the age of matrix product states
• Quantum fluids of light
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Many body localization in Heisenberg XXZ magnet in a random field
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Quantum trajectories and open many-body quantum systems
• A class of quantum many-body states that can be efficiently simulated
• Matrix product states represent ground states faithfully
• Area laws in quantum systems: mutual information and correlations
• The iTEBD algorithm beyond unitary evolution
• From density-matrix renormalization group to matrix product states
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• New Trends in Density Matrix Renormalization
• Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
• Continuous Matrix Product States for Quantum Fields
• "Light-cone" dynamics after quantum quenches in spin chains
• Atomic three-body loss as a dynamical three-body interaction
• Localizable Entanglement
• Algorithms for finite Projected Entangled Pair States
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Matrix Product States for dynamical simulation of infinite chains
• Spectral functions in one-dimensional quantum systems at T>0
• Real-time simulations of nonequilibrium transport in the single-impurity Anderson model
• Entropy and Entanglement in Quantum Ground States
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Operator Entanglement in Interacting Integrable Quantum Systems: the Case of the Rule 54 Chain
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently
• Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm
• Time evolution algorithms for Matrix Product States and DMRG
• Approximating Gibbs states of local Hamiltonians efficiently with PEPS
• Finite automata for caching in matrix product algorithms
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Tensor Network Algorithms: a Route Map
• Chebyshev matrix product state approach for spectral functions
• Scattering in the ultrastrong regime: nonlinear optics with one photon
• Quantum dynamics of thermalizing systems
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Tensor Networks in a Nutshell
• Quantum simulation of the Schwinger model: A study of feasibility
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Operator Space Entanglement Entropy in XY Spin Chains
• Quantum Belief Propagation
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Matrix Product State applications for the ALPS project
• Steady-state crystallization of Rydberg excitations in an optically driven lattice gas
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Dark state cooling of atoms by superfluid immersion
• Complete-Graph Tensor Network States: A New Fermionic Wave Function Ansatz for Molecules
• Matrix product operators and states: NP-hardness and undecidability
• Tensor network techniques for the computation of dynamical observables in 1D quantum spin systems
• Classically optimized Hamiltonian simulation
• Stability of superdiffusion in nearly integrable spin chains
• Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space
• Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
• Lanczos algorithm with Matrix Product States for dynamical correlation functions
• Atom-only descriptions of the driven-dissipative Dicke model
• Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods
• Chaos and Complexity of quantum motion
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Complexity of thermal states in quantum spin chains
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Towards adiabatic quantum computing using compressed quantum circuits
• Dynamics, dephasing and clustering of impurity atoms in Bose-Einstein condensates
• Entanglement generation in $(1+1)D$ QED scattering processes
• Subdiffusion and many-body quantum chaos with kinetic constraints
• Classification of quantum phases and topology of logical operators in an exactly solved model of quantum codes
• Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
• Unifying variational methods for simulating quantum many-body systems
• Simulation of time evolution with the MERA
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Computations in Quantum Tensor Networks
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Simulating generic spin-boson models with matrix product states
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Photon transport in a dissipative chain of nonlinear cavities
• Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
• Fermionic Implementation of Projected Entangled Pair States Algorithm
• Linked cluster expansions for open quantum systems on a lattice
• Sequentially generated states for the study of two dimensional systems
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
• Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
• Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space
• Spin and thermal conductivity of quantum spin ladders
• Characterizing a non-equilibrium phase transition on a quantum computer
• Multigrid Algorithms for Tensor Network States
• Entropy and Exact Matrix Product Representation of the Laughlin Wave Function
• Entanglement dynamics of a many-body localized system coupled to a bath
• Tree tensor network state approach for solving hierarchical equations of motion
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Open Quantum System Dynamics from Infinite Tensor Network Contraction
• Hilbert Space Fragmentation in Open Quantum Systems
• Ground state cooling of atoms in optical lattices
• Time evolution of projected entangled pair states in the single layer picture
• Tensor network simulation of chains of non-Markovian open quantum systems
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Purifying Deep Boltzmann Machines for Thermal Quantum States
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• Density Matrix Renormalization Group with Tensor Processing Units
• Real-time quantum calculations of phase shifts using wave packet time delays
• Dynamics of quantum information in many-body localized systems
• Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems
• Dynamical and Steady State Properties of a Bose-Hubbard Chain with Bond-Dissipation: A Study based on Matrix Product Operators
• Light cone tensor network and time evolution
• Time-evolution of local information: thermalization dynamics of local observables
• Topological order of mixed states in quantum many-body systems
• Rise and fall, and slow rise again, of operator entanglement under dephasing
• Ultrafast ab-initio Quantum Chemistry Using Matrix Product States
• Dynamics of many-body localization in the presence of particle loss
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
• Photoinduced $\eta$-pairing at finite temperatures
• Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
• Many-Body Open Quantum Systems
• Towards overcoming the Monte Carlo sign problem with tensor networks
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Measuring the Loschmidt amplitude for finite-energy properties of the Fermi-Hubbard model on an ion-trap quantum computer
• Classification of Mixed State Topology in One Dimension
• Stochastic Adaptive Single-Site Time-Dependent Variational Principle
• OQuPy: A Python package to efficiently simulate non-Markovian open quantum systems with process tensors
• Functional Tensor-Train Chebyshev Method for Multidimensional Quantum Dynamics Simulations
• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Universal scrambling in gapless quantum spin chains
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics
• Andreev-like reflections with cold atoms
• Finding the ground state of a lattice gauge theory with fermionic tensor networks: a $2+1d$ ${\mathbb{Z}}_2$ demonstration
• Observations Outside the Light-Cone: Algorithms for Non-Equilibrium and Thermal States
• Finite time large deviations via matrix product states
• Quantum Phase Transitions and Matrix Product States in Spin Ladders
• Variational quantum simulation: a case study for understanding warm starts
• Optimal sampling of dynamical large deviations via matrix product states
• Current reversals and metastable states in the infinite Bose-Hubbard chain with local particle loss
• Variational Gibbs State Preparation on NISQ devices
• A variational method based on weighted graph states
• Automated construction of $U(1)$-invariant matrix-product operators from graph representations
• Reconstructing complex states of a 20-qubit quantum simulator
• Dipolar spin ice regime proximate to an all-in-all-out Néel ground state in the dipolar-octupolar pyrochlore Ce${}_2$Sn${}_2$O${}_7$
• Circuits of space and time quantum channels
• Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution
• Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry
• Symmetry Breaking and Convex Set Phase Diagrams for the q-state Potts Model
• Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• Time-dependent variational principle with controlled bond expansion for matrix product states
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations
• Finite-temperature correlations in a quantum spin chain near saturation
• Tensor networks for interpretable and efficient quantum-inspired machine learning
• Entanglement Dynamics of Noisy Random Circuits
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Generation of Photonic Matrix Product States with Rydberg Atomic Arrays
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Simulating Non-Markovian Quantum Dynamics on NISQ Computers Using the Hierarchical Equations of Motion
• Convergence guarantees for discrete mode approximations to non-Markovian quantum baths
• Real-time operator evolution in two and three dimensions via sparse Pauli dynamics
• Spatiotemporal Crossover between Low- and High-Temperature Dynamical Regimes in the Quantum Heisenberg Magnet
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Multipartite entanglement in the 1-D spin-$\frac{1}{2}$ Heisenberg Antiferromagnet
• Entanglement estimation in tensor network states via sampling
• Cooling toolbox for atoms in optical lattices
• The ground state of a class of noncritical 1D quantum spin systems can be approximated efficiently
• CFLOBDDs: Context-Free-Language Ordered Binary Decision Diagrams
• Efficient sampling of noisy shallow circuits via monitored unraveling
• Performance of Reservoir Discretizations in Quantum Transport Simulations
• Opening the Black Box Inside Grover's Algorithm
• Classical algorithms for many-body quantum systems at finite energies
• Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
• Symmetry enforced entanglement in maximally mixed states
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Absence of superdiffusion in certain random spin models
• Combining Matrix Product States and Noisy Quantum Computers for Quantum Simulation
• From observations to complexity of quantum states via unsupervised learning
• Exact Thermal Eigenstates of Nonintegrable Spin Chains at Infinite Temperature
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Finite Projected Entangled Pair States for the Hubbard model
• Block belief propagation algorithm for two-dimensional tensor networks
• Dynamics of the order-parameter statistics in the long-range Ising model
• Extracting work from correlated many-body quantum systems
• Rapid quantum ground state preparation via dissipative dynamics
• Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states
• Complex Time Evolution in Tensor Networks
• Thermal Ising transition in the spin-1/2 J1-J2 Heisenberg model
• Approximating the ground state of gapped quantum spin systems
• State-dependent Trotter Limits and their approximations
• Quantum State Tomography for Matrix Product Density Operators
• Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States
• Quantum State Tomography with Locally Purified Density Operators and Local Measurements
• Multipartite correlations in quantum collision models
• Spin diffusion in perturbed isotropic Heisenberg spin chain
• Current-induced bond rupture in single-molecule junctions: Effects of multiple electronic states and vibrational modes
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Approximating the long time average of the density operator: Diagonal ensemble
• Conservation laws in coupled cluster dynamics at finite-temperature
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Detecting Quantum Anomalies in Open Systems
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Stable bipolarons in open quantum systems
• From dissipationless to normal diffusion in easy-axis Heisenberg spin chain
• Quantifying Non-Markovianity in Open Quantum Dynamics
• Tensor network noise characterization for near-term quantum computers
• Two-body recombination in a quantum mechanical lattice gas: Entropy generation and probing of short-range magnetic correlations
• Investigating the use of field solvers for simulating classical systems
• Page curves and typical entanglement in linear optics
• Uncovering nonperturbative dynamics of the biased sub-Ohmic spin-boson model with variational Matrix Product States
• Isometric tensor network representations of two-dimensional thermal states
• Heisenberg treatment of multiphoton pulses in waveguide QED with time-delayed feedback
• Corrections to diffusion in interacting quantum systems
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• Finite representations of continuum environments
• Finite-temperature photoemission in the extended Falicov-Kimball model: a case study for Ta${}_2$NiSe${}_5$
• Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
• Emergent dipole moment conservation and subdiffusion in tilted chains
• Fast Time-Evolution of Matrix-Product States using the QR decomposition
• Quantum jumps in driven-dissipative disordered many-body systems
• Non-equilibrium thermal transport and vacuum expansion in the Hubbard model
• Computing time-periodic steady-state currents via the time evolution of tensor network states
• Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
• Accessing long timescales in the relaxation dynamics of spins coupled to a conduction-electron system using absorbing boundary conditions
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure
• Dissipative variational quantum algorithms for Gibbs state preparation
• Scaling in driven dynamics starting in the vicinity of a quantum critical point
• Quantum Spinon Oscillations
• Quantum many-body simulations with PauliStrings.jl
• Decay of quantum conditional mutual information for purely generated finitely correlated states
• Multi-Region Entanglement in Locally Scrambled Quantum Dynamics
• Real-time dynamics of open quantum spin systems driven by dissipative processes
• Validating phase-space methods with tensor networks in two-dimensional spin models with power-law interactions
• Integrable spin chains and the Clifford group
• Nonequilibrium critical dynamics in the quantum chiral clock model
• Purity of thermal mixed quantum states
• Adaptive variational low-rank dynamics for open quantum systems
• Approximating Relativistic Quantum Field Theories with Continuous Tensor Networks
• Analytical approach to higher-order correlation functions in U(1) symmetric systems
• Real-Time Simulation of Large Open Quantum Spin Systems driven by Measurements
• Convex Optimization for Nonequilibrium Steady States on a Hybrid Quantum Processor
• LiV2O4: Hund-Assisted Orbital-Selective Mottness
• Thermofield theory for finite-temperature electronic structure
• Nonstabilizerness in open XXZ spin chains: Universal scaling and dynamics
• Noise-resilient preparation of quantum many-body ground states
• Optimized trajectory unraveling for classical simulation of noisy quantum dynamics
• Scalable simulation of non-equilibrium quantum dynamics via classically optimised unitary circuits
• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Efficient flow equations for dissipative systems
• High temperature series expansions of S = 1/2 Heisenberg spin models: algorithm to include the magnetic field with optimized complexity
• Gauged Gaussian PEPS -- A High Dimensional Tensor Network Formulation for Lattice Gauge Theories
• Exact Hidden Markovian Dynamics in Quantum Circuits
• Dynamical correlation functions from complex time evolution
• Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the $SU(2)$ Hubbard model with a localized loss
• Partonic distribution functions and amplitudes using tensor network methods
• Locally purified density operators for noisy quantum circuits
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• NoRA: A Tensor Network Ansatz for Volume-Law Entangled Equilibrium States of Highly Connected Hamiltonians
• Density of States of the lattice Schwinger model
• Reconstructing Non-Markovian Open Quantum Evolution From Multi-time Measurements
• Temporal Entanglement Barriers in Dual-Unitary Clifford Circuits with Measurements
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Exploring Shallow-Depth Boson Sampling: Towards Scalable Quantum Supremacy
• Cooling schemes for two-component fermions in layered optical lattices
• Optimal Symbolic Construction of Matrix Product Operators and Tree Tensor Network Operators
• Thermalization of long range Ising model in different dynamical regimes: a full counting statistics approach
• A tensor network approach to sensing quantum light-matter interactions
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Quantum Transport in Open Spin Chains using Neural-Network Quantum States
• Undecidability in Physics: a Review
• Universal Spreading of Conditional Mutual Information in Noisy Random Circuits
• Efficient separation of quantum from classical correlations for mixed states with a fixed charge
• Randomised benchmarking for characterizing and forecasting correlated processes
• Open quantum dynamics of strongly coupled oscillators with multi-configuration time-dependent Hartree propagation and Markovian quantum jumps
• Thermal Pure States for Systems with Antiunitary Symmetries and Their Tensor Network Representations
• Giant rectification in strongly-interacting driven tilted systems
• Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath
• Spin-1/2 XXZ chain coupled to two Lindblad baths: Constructing nonequilibrium steady states from equilibrium correlation functions
• Real-time broadening of bath-induced density profiles from closed-system correlation functions
• Density Matrix Renormalization Group Algorithm For Mixed Quantum States
• Noisy induced entanglement transition in one-dimensional random quantum circuits
• Tensor-network approach to thermalization in open quantum many-body systems
• Breakdown of superdiffusion in perturbed quantum integrable spin chains and ladders
• Non-linear response to electric field in extended Hubbard models
• Almost Strong Zero Modes at Finite Temperature
• Exact steady state of perturbed open quantum systems
• State Diagrams to determine Tree Tensor Network Operators
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Exceptional stationary state in a dephasing many-body open quantum system
• Matrix product operator representations for the local conserved quantities of the Heisenberg chain
• Many bounded versions of undecidable problems are NP-hard
• Transport in a periodically driven tilted lattice via the extended reservoir approach: Stability criterion for recovering the continuum limit
• Series expansions in closed and open quantum many-body systems with multiple quasiparticle types
• Numerical operator method for the real time dynamics of strongly-correlated quantum impurity systems far from equilibrium
• Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
• Forestalled Phase Separation as the Precursor to Stripe Order
• Low-temperature Gibbs states with tensor networks
• QSlack: A slack-variable approach for variational quantum semi-definite programming
• Matrix product states and the decay of quantum conditional mutual information
• Vortex formation and dynamics in two-dimensional driven-dissipative condensates
• Low-energy excitations and transport functions of the one-dimensional Kondo insulator
• Efficient quantum circuit simulation using a multi-qubit Bloch vector representation of density matrices
• Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
• Prolonging a discrete time crystal by quantum-classical feedback
• Path-Integral Formulation of Truncated Wigner Approximation for Bosonic Markovian Open Quantum Systems
• Locally accurate matrix product approximation to thermal states
• Thermalization at Low Temperatures via Weakly-Damped Multi-Site Baths
• Luttinger liquid tensor network: sine versus tangent dispersion of massless Dirac fermions
• Large-scale stochastic simulation of open quantum systems
• Fingerprints of supersymmetric spin and charge dynamics observed by inelastic neutron scattering
• Exploring thermal equilibria of the Fermi-Hubbard model with variational quantum algorithms
• Variational Neural and Tensor Network Approximations of Thermal States
• Persistent Ballistic Entanglement Spreading with Optimal Control in Quantum Spin Chains
• Universal contributions to charge fluctuations in spin chains at finite temperature
• Light-induced phase transitions in vanadium dioxide: a tensor network study
• Minimally Entangled Typical Thermal States Algorithms for Finite Temperature Matsubara Green Functions
• Accuracy of time-dependent GGE under weak dissipation
• Exploring explicit coarse-grained structure in artificial neural networks
• Low dimensional correlations under thermal fluctuations
• Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems
• Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
• A matrix product operator approach to non-equilibrium Floquet steady states
• Hund flat band in a frustrated spinel oxide
• A solvable model for graph state decoherence dynamics
• Small quenches and thermalization
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Quantum Corner-Transfer Matrix DMRG
• Real-time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm For Noisy Quantum Circuit Simulations
• On integrable matrix product operators with bond dimension $D=4$
• Dynamics of heat and mass transport in a quantum insulator
• Spectral signatures of the Markovian to Non-Markovian transition in open quantum systems
• Dipolar Dynamics for Interacting Ultracold Fermions in a Trapped Optical Lattice
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• Efficient quantum information probes of non-equilibrium quantum criticality
• On the connection between least squares, regularization, and classical shadows
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• A Simple and General Equation for Matrix Product Unitary Generation
• Chemical master equation parameter exploration using DMRG
• A Riemannian Approach to the Lindbladian Dynamics of a Locally Purified Tensor Network
• Provably Efficient Simulation of 1D Long-Range Interacting Systems at Any Temperature
• Efficient tensor network simulation of multi-emitter non-Markovian systems
• Phase diagram of the antiferromagnetic $J_1$-$J_2$ spin-$1$ pyrochlore Heisenberg model
• Tensor Network for Anomaly Detection in the Latent Space of Proton Collision Events at the LHC
• Exponential distillation of dominant eigenproperties
• Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
• Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
• Bridging Rokhsar-Kivelson Type and Generic Quantum Phase Transitions via Thermofield Double States
• Dynamical deconfinement transition driven by density of excitations
• Finite temperature dopant-induced spin reorganization explored via tensor networks in the two-dimensional $t$-$J$ model
• Thermal Tensor Network Simulations of Lattice Fermions with Fixed Filling
• Tomography-assisted noisy quantum circuit simulator using matrix product density operators
• Machine-learning-inspired quantum control in many-body dynamics
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Learning Quantum Graphical Models using Constrained Gradient Descent on the Stiefel Manifold
• The Software Landscape for the Density Matrix Renormalization Group
• Optimal sampling of tensor networks targeting wave function's fast decaying tails
• Loss-induced quantum information jet in an infinite temperature Hubbard chain
• Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics
• The ITransverse.jl library for transverse tensor network contractions
• Sample complexity of matrix product states at finite temperature
• Scalable tensor network algorithm for quantum impurity problems
• Thermal DMRG for highly frustrated quantum spin chains: a user perspective
• Thermal coupled cluster theory for SU(2) systems
• Les Houches Lecture Notes on Tensor Networks
• Computational Characterization of Symmetry-Protected Topological Phases in Open Quantum Systems
• Efficient 2D Tensor Network Simulation of Quantum Systems
• Exact Many-body Quantum Dynamics in One-Dimensional Baths via Collective Spins
• Temperature dependence of energy transport in the ${\mathbb{Z}}_3$ chiral clock model
• Heat operator approach to quantum stochastic thermodynamics in the strong-coupling regime
• Phase diagram of a QED-cavity array coupled via a N-type level scheme
• Chiral phases and dynamics of dipoles in triangular optical ladders
• Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver
• Quantum Fisher information from tensor network integration of Lyapunov equation
• Resolving mean-field solutions of dissipative phase transitions using permutational symmetry
• Investigating Stark many-body localization with continuous unitary transformation flows
• Entanglement transitions in a boundary-driven open quantum many-body system
• Superdiffusion resilience in Heisenberg Chains with 2D interactions on a quantum processor
• Gauge-Fixing Quantum Density Operators At Scale
• Projected Entangled Pair States for Lattice Gauge Theories with Dynamical Fermions
• Superdiffusive transport in chaotic quantum systems with nodal interactions
• Constructing k-local parent Lindbladians for matrix product density operators
• Efficient Simulation of Quantum Many-body Thermodynamics by Tailoring Zero-temperature Tensor Network
• Operator entanglement in $\mathrm{SU}(2)$-symmetric dissipative quantum many-body dynamics
• Efficient tomography of microwave photonic cluster states
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas
• The product structure of MPS-under-permutations
• Spin current through an ESR quantum dot: A real-time study
• A Thermofield-based Multilayer Multiconfigurational Time-Dependent Hartree Approach to Non-Adiabatic Quantum Dynamics at Finite Temperature
• Approaching the scaling limit of transport through lattices with dephasing
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices
• Limits of Clifford Disentangling in Tensor Network States
• Boundary Criticality at the Nishimori Multicritical Point
• Numerical Probe of Dynamical Properties of a Two-Dimensional Triangular Ising Lattice with Long-Range Interaction
• Circuit connectivity boosts by quantum-classical-quantum interfaces
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics
• Continuous matrix product operators for quantum fields
• Process Tensor Approaches to Non-Markovian Quantum Dynamics
• Integral fluctuation theorems and trace-preserving map
• Locally Purified Maximally Mixed States At Scale: Entanglement Pruning and Symmetries
• The Canonical Forms of Matrix Product States in Infinite-Dimensional Hilbert Spaces
• Polynomial Scaling of Numerical Diagonalization of the 1D Transverse Field Ising Model into a Commuting Basis using the Pauli Product Representation
• Out-of-equilibrium physics in driven dissipative coupled resonator arrays
• Geometrically Taming Dynamical Entanglement Growth in Purified Quantum States
• A penalty-free quantum algorithm to find energy eigenstates
• Phase Transitions in the Classical Simulability of Open Quantum Systems
• Classical simulation of noisy quantum circuits via locally entanglement-optimal unravelings
• Low-rank optimal control of quantum devices
• Learning mixed quantum states in large-scale experiments
• Possibility to detect the bound state of the Heisenberg ferromagnetic chain at intermediate temperature
• Numerically efficient unitary evolution for Hamiltonians beyond nearest-neighbors
• Tensor Train Quantum State Tomography using Compressed Sensing
• Roughening Transition in Quantum Circuits
• Locally accurate tensor networks for thermal states and time evolution
• Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity