Time-dependent variational principle for open quantum systems with artificial neural networks
arXiv:2104.00013 · doi:10.1103/PhysRevLett.127.230501
Abstract
We develop a variational approach to simulating the dynamics of open quantum many-body systems using deep autoregressive neural networks. The parameters of a compressed representation of a mixed quantum state are adapted dynamically according to the Lindblad master equation by employing a time-dependent variational principle. We illustrate our approach by solving the dissipative quantum Heisenberg model in one and two dimensions for up to 40 spins and by applying it to the simulation of confinement dynamics in the presence of dissipation.
arXiv comment7 + 5 pages, 3 figures
References in corpus (80)
- Quantum Computing in the NISQ era and beyond
- Many-Body Physics with Ultracold Gases
- The density-matrix renormalization group in the age of matrix product states
- Probing many-body dynamics on a 51-atom quantum simulator
- Solving the Quantum Many-Body Problem with Artificial Neural Networks
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Quantum fluids of light
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Exploring the many-body localization transition in two dimensions
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Topological Bands for Ultracold Atoms
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Quantum phase transitions of light
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
- Quantum Entanglement in Neural Network States
- Matrix product operator representations
- Real time confinement following a quantum quench to a non-integrable model
- Efficient Representation of Quantum Many-body States with Deep Neural Networks
- Reconstructing quantum states with generative models
- The computational complexity of PEPS
- Machine Learning Topological States
- Towards a large-scale quantum simulator on diamond surface at room temperature
- Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
- Recurrent Neural Network Wave Functions
- Deep autoregressive models for the efficient variational simulation of many-body quantum systems
- Observation of universal dynamics in a spinor Bose gas far from equilibrium
- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
- Simulation methods for open quantum many-body systems
- Quantum many-body dynamics in two dimensions with artificial neural networks
- Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
- Variational neural network ansatz for steady states in open quantum systems
- Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
- A positive tensor network approach for simulating open quantum many-body systems
- Constructing neural stationary states for open quantum many-body systems
- Critical thermalization of a disordered dipolar spin system in diamond
- Machine Learning for Quantum Matter
- Latent Space Purification via Neural Density Operators
- Depolarization dynamics in a strongly interacting solid-state spin ensemble
- A simple tensor network algorithm for two-dimensional steady states
- A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
- Critical slowing down in driven-dissipative Bose-Hubbard lattices
- Quantum gas microscopy of an attractive Fermi-Hubbard system
- Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
- Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
- Signatures of Self-Organised Criticality in an Ultracold Atomic Gas
- Emergence of glass-like dynamics for dissipative and strongly interacting bosons
- Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
- Synchronization of Interacting Quantum Dipoles
- Direct observation of quantum criticality in Ising spin chains
- Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories
- Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
- Quenches near Ising quantum criticality as a challenge for artificial neural networks
- Simulation complexity of open quantum dynamics: Connection with tensor networks
- Neural network quantum state tomography in a two-qubit experiment
- Confinement and Entanglement Dynamics on a Digital Quantum Computer
- Neural network representation of tensor network and chiral states
- Efficient Representation of Topologically Ordered States with Restricted Boltzmann Machines
- One-dimensional many-body entangled open quantum systems with tensor network methods
- Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model
- Role of interactions in a dissipative many-body localized system
- Rapid mixing implies exponential decay of correlations
- Quantum Simulations of Extended Hubbard Models with Dipolar Crystals
- Contracting projected entangled pair states is average-case hard
- Probabilistic Simulation of Quantum Circuits with the Transformer
- Holography as deep learning
- Quantum simulator for the Ising model with electrons floating on a helium film
- Efficient Machine Learning Representations of Surface Code with Boundaries, Defects, Domain Walls and Twists
- Lieb-Robinson bounds for open quantum systems with long-ranged interactions
- Optimal stochastic unraveling of disordered open quantum systems: application to driven-dissipative photonic lattices
- On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
- Quantum simulation of spin ordering with nuclear spins in a solid state lattice
- The Monte Carlo wave-function method: a robust adaptive algorithm and a study in convergence