Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes

Abstract

We develop a novel approach aimed at solving the equations of motion of open quantum many-body systems. It is based on a combination of generalized wave function trajectories and matrix product states. We introduce an adaptive quantum stochastic propagator, which minimizes the expected entanglement in the many-body quantum state, thus minimizing the computational cost of the matrix product state representation of each trajectory. We illustrate this approach on the example of a one-dimensional open Brownian circuit. We show that this model displays an entanglement phase transition between area and volume law when changing between different propagators and that our method autonomously finds an efficiently representable area law unravelling.

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Cited by in corpus (29)

• Many-Body Open Quantum Systems
• Comparing bipartite entropy growth in open-system matrix-product simulation methods
• Efficient sampling of noisy shallow circuits via monitored unraveling
• Measurement-Induced Quantum Synchronization and Multiplexing
• Adaptive Trotterization for time-dependent Hamiltonian quantum dynamics using piecewise conservation laws
• Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain
• Optimized trajectory unraveling for classical simulation of noisy quantum dynamics
• Unraveling superradiance: Entanglement and mutual information in collective decay
• Unraveling Dicke Superradiant Decay with Separable Coherent Spin States
• Monitoring-induced Entanglement Entropy and Sampling Complexity
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
• Boundary Time Crystals Induced by Local Dissipation and Long-Range Interactions
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements
• Non-unitarity maximizing unraveling of open quantum dynamics
• Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems
• Large-scale stochastic simulation of open quantum systems
• Purification Dynamics in a Continuous-time Hybrid Quantum Circuit Model
• Qubit-environment entanglement in time-dependent pure dephasing
• Efficient circular Dyson Brownian motion algorithm
• Analog simulation of noisy quantum circuits
• Gauge freedoms in unravelled quantum dynamics: When do different continuous measurements yield identical quantum trajectories?
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
• Efficient simulation of non-trivial dissipative spin chains via stochastic unraveling
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
• Classical simulation of noisy quantum circuits via locally entanglement-optimal unravelings
• Theoretical Limits of Protocols for Distinguishing Different Unravelings