Unifying time evolution and optimization with matrix product states

Abstract

We show that the time-dependent variational principle provides a unifying framework for time-evolution methods and optimisation methods in the context of matrix product states. In particular, we introduce a new integration scheme for studying time-evolution, which can cope with arbitrary Hamiltonians, including those with long-range interactions. Rather than a Suzuki-Trotter splitting of the Hamiltonian, which is the idea behind the adaptive time-dependent density matrix renormalization group method or time-evolving block decimation, our method is based on splitting the projector onto the matrix product state tangent space as it appears in the Dirac-Frenkel time-dependent variational principle. We discuss how the resulting algorithm resembles the density matrix renormalization group (DMRG) algorithm for finding ground states so closely that it can be implemented by changing just a few lines of code and it inherits the same stability and efficiency. In particular, our method is compatible with any Hamiltonian for which DMRG can be implemented efficiently and DMRG is obtained as a special case of imaginary time evolution with infinite time step.

5 pages + 5 pages supplementary material (6 figures) (updated example, small corrections)

References in corpus (12)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Non-local propagation of correlations in long-range interacting quantum systems
• DMRG and periodic boundary conditions: a quantum information perspective
• From density-matrix renormalization group to matrix product states
• Time-evolving a matrix product state with long-ranged interactions
• Continuous Matrix Product States for Quantum Fields
• Time integration of tensor trains
• Persistence of locality in systems with power-law interactions
• Matrix product state comparison of the numerical renormalization group and the variational formulation of the density matrix renormalization group

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• A New Framework for Quantum Phases in Open Systems: Steady State of Imaginary-Time Lindbladian Evolution
• Entangled states from sparsely coupled spins for metrology with neutral atoms
• From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
• Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
• Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
• Spreading of a local excitation in a Quantum Hierarchical Model
• Influence of non-adiabatic effects on linear absorption spectra in the condensed phase: Methylene blue
• Zero-site DMRG and the optimal low-rank correction
• String breaking dynamics in Ising chain with local vibrations
• Dynamics of spin helices in the diluted one-dimensional $XX$ model
• Chiral Gravitons on the Lattice
• Extracting the spin excitation spectrum of a fermionic system using a quantum processor
• Time evolution of the local density of states of strongly correlated fermions coupled to a nanoprobe
• Chemical master equation parameter exploration using DMRG
• Phonon state tomography of electron correlation dynamics in optically excited solids
• Comparison between explicit and implicit discretization strategies for a dissipative thermal environment
• Macroproperties vs. Microstates in the Classical Simulation of Critical Phenomena in Quench Dynamics of 1D Ising Models
• Dynamical deconfinement transition driven by density of excitations
• The Cytnx Library for Tensor Networks
• Diagonal Isometric Form for Tensor Network States in Two Dimensions
• A quantum inspired approach to learning dynamical laws from data -- block-sparsity and gauge-mediated weight sharing
• Spin excitations arising from anisotropic Dirac spinons in YCu${}_3$(OD)${}_6$Br${}_2$[Br${}_{0.33}$(OD)${}_{0.67}$]
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Simulating quantum dynamics: Evolution of algorithms in the HPC context
• Monte Carlo Simulation of Operator Dynamics and Entanglement in Dual-Unitary Circuits
• Clifford-Dressed Variational Principles for Precise Loschmidt Echoes
• Dynamic structure factor from real time evolution and exact correction vectors with matrix product states
• Quantum tensor network algorithms for evaluation of spectral functions on quantum computers
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Phase diagram of the antiferromagnetic $J_1$-$J_2$ spin-$1$ pyrochlore Heisenberg model
• Simulating Quantum Turbulence with Matrix Product States
• Environment-Mediated Long-Ranged Correlations in Many-Body System
• Thermal Tensor Network Simulations of Lattice Fermions with Fixed Filling
• Prospects for NMR Spectral Prediction on Fault-Tolerant Quantum Computers
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• The confluence of fractured resonances at points of dynamical, many--body flare
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Generalised ansatz for continuous Matrix Product States
• A Quantum-Inspired Algorithm for Wave Simulation Using Tensor Networks
• Quantum Utility in Simulating the Real-time Dynamics of the Fermi-Hubbard Model using Superconducting Quantum Computers
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models
• Dissipationless dynamics of spin supersolid states in a spin-1/2 triangular antiferromagnet with impurities
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• Numerically exact quantum dynamics with tensor networks: Predicting the decoherence of interacting spin systems
• The Software Landscape for the Density Matrix Renormalization Group
• Harnessing Quantum Dynamics for Robust and Scalable Quantum Extreme Learning Machines
• Optimal sampling of tensor networks targeting wave function's fast decaying tails
• Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver
• Digitized counterdiabatic quantum critical dynamics
• Quantum Fisher information from tensor network integration of Lyapunov equation
• Metal-insulator transition of spinless fermions coupled to dispersive optical bosons
• Simulating Quantum Circuits with Tree Tensor Networks using Density-Matrix Renormalization Group Algorithm
• Summing Real Time Feynman Paths of Lattice Polaron with Matrix Product States
• Slow transport and bound states for spinless fermions with long-range Coulomb interactions on one-dimensional lattices
• Charge-order melting in the one-dimensional Edwards model
• Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model
• Spatiotemporal Quenches in Long-Range Hamiltonians
• Les Houches Lecture Notes on Tensor Networks
• Magnon Damping as a Probe of Kondo Coupling in Magnetically Ordered Systems
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• Kondo nanomechanical dissipation in the driven Anderson impurity model
• Harnessing spin-qubit decoherence to probe strongly-interacting quantum systems
• N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics
• Probing non-Gaussian correlations through entanglement generation in a many-body quantum system
• Energy-filtered excited states and real-time dynamics served in a contour integral
• Quantum Supercritical Crossover with Dynamical Singularity
• Explicit properties of the simplest inhomogeneous Matrix-Product-State including the Riemann metric of the MPS manifold
• Simulation of the Dissipative Dynamics of Strongly Interacting NV Centers with Tensor Networks
• Relaxation dynamics of a quantum spin coupled to a topological edge state
• Transport in a System with a Tower of Quantum Many-Body Scars
• Purified pseudomode model for nonlinear system-bath interactions
• Dynamical quantum phase transitions on random networks
• Characterization of localized effective spins in gapped quantum spin chains
• Skyrmionic Schrödinger cat states in monoaxial chiral magnets
• Dual current anomalies and quantum transport within extended reservoir simulations
• Spin-polarization and resonant states in electronic conduction through a correlated magnetic layer
• Matrix product states and first quantization
• Locally accurate tensor networks for thermal states and time evolution
• TTNOpt: Tree tensor network package for high-rank tensor compression
• Manipulating multimer propagation using lattice modulation
• Unconventional Spin Dynamics and Supersolid Excitations in the Triangular-Lattice XXZ Model
• Beyond fragmented dopant dynamics in quantum spin lattices: Robust localization and non-Gaussian diffusion
• A method of an on-demand beamsplitter for trapped-ion quantum computers
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Statistics-encoded tensor network approach in disordered quantum many-body spin chains
• Phase Transitions in the Classical Simulability of Open Quantum Systems
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
• Majorana string simulation of nonequilibrium dynamics in two-dimensional lattice fermion systems
• Enhanced Krylov Methods for Molecular Hamiltonians: Reduced Memory Cost and Complexity Scaling via Tensor Hypercontraction
• Capturing reduced-order quantum many-body dynamics out of equilibrium via neural ordinary differential equations
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Dynamical Tensor Train Approximation for Kinetic Equations
• Multi-orbital dynamical mean-field theory with a complex-time solver
• Quantum Zeno effect in the multimode quantum Rabi model
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Who can compete with quantum computers? Lecture notes on quantum inspired tensor networks computational techniques
• Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model
• Limits of Clifford Disentangling in Tensor Network States
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs
• Dissipative dynamics in isolated quantum spin chains after a local quench
• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering
• An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism
• Accurate, full-dimensional computations of thousands of complex vibrational eigenstates with tree tensor network states
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• Solving intractable chemical problems by tensor decomposition
• Protecting Hilbert space fragmentation through quantum Zeno dynamics
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Many-body localization in a tilted potential in two dimensions
• Enforcing conservation laws in nonequilibrium cluster perturbation theory
• Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
• Two-dimensional many-body localized systems coupled to a heat bath