Probing many-body localization by excited-state VQE

Abstract

Non-equilibrium physics including many-body localization (MBL) has attracted increasing attentions, but theoretical approaches of reliably studying non-equilibrium properties remain quite limited. In this Letter, we propose a systematic approach to probe MBL phases via the excited-state variational quantum eigensolver (VQE) and demonstrate convincing results of MBL on a quantum hardware, which we believe paves a promising way for future simulations of non-equilibrium systems beyond the reach of classical computations in the noisy intermediate-scale quantum (NISQ) era. Moreover, the MBL probing protocol based on excited-state VQE is NISQ-friendly, as it can successfully differentiate the MBL phase from thermal phases with relatively-shallow quantum circuits, and it is also robust against the effect of quantum noises.

5 pages + references + supplemental, 7 figures

References in corpus (16)

• Thermalization and its mechanism for generic isolated quantum systems
• Localization of interacting fermions at high temperature
• A Quantum Approximate Optimization Algorithm
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• Hybrid quantum-classical algorithms and quantum error mitigation
• Many-Body Localization in a Quasiperiodic System
• Variational neural network ansatz for steady states in open quantum systems
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• TensorCircuit: a Quantum Software Framework for the NISQ Era
• Variational Quantum Eigensolver for Frustrated Quantum Systems
• Variational Quantum-Neural Hybrid Eigensolver
• Variational quantum eigensolvers by variance minimization
• Computational Chemistry on Quantum Computers: Ground state estimation
• Strong and Weak Many-Body Localizations

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• Catching thermal avalanches in the disordered XXZ model
• Variational quantum algorithms for scanning the complex spectrum of non-Hermitian systems
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Subsystem Information Capacity in Random Circuits and Hamiltonian Dynamics
• Universal imaginary-time critical dynamics on a quantum computer
• Variational post-selection for ground states and thermal states simulation
• Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
• The Dual Role of Low-Weight Pauli Propagation: A Flawed Simulator but a Powerful Initializer for Variational Quantum Algorithms
• Exploiting many-body localization for scalable variational quantum simulation
• Quantum sensing with discrete time crystals in the Lipkin-Meshkov-Glick Model
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Molecular resonance identification in complex absorbing potentials via integrated quantum computing and high-throughput computing
• Observation of Localization Using a Noisy Quantum Computer
• Noisy Monitored Quantum Circuits