Simulating adiabatic quantum computation with a variational approach

2024/03/08 by Giuseppe Carleo, Bela Bauer, Carleo, Giuseppe +3 · 2 citations
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.2403.05147

Abstract

The theoretical analysis of the Adiabatic Quantum Computation protocol presents several challenges resulting from the difficulty of simulating, with classical resources, the unitary dynamics of a large quantum device. We present here a variational approach to substantially alleviate this problem in many situations of interest. Our approach is based on the time-dependent Variational Monte Carlo method, in conjunction with a correlated and time-dependent Jastrow ansatz. We demonstrate that accurate results can be obtained in a variety of problems, ranging from the description of defect generation through a dynamical phase transition in 1D to the complex dynamics of frustrated spin-glass problems both on fully-connected and Chimera graphs.

Cited by

• Leveraging Symmetry Merging in Pauli Propagation
• Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics

Related

• Efficient Berry Phase Calculation via Adaptive Variational Quantum Computing Approach
• Variational quantum algorithm for non-Markovian quantum dynamics
• Numerical and geometrical aspects of flow-based variational quantum Monte Carlo
• Unraveling Open Quantum Dynamics with Time-Dependent Variational Monte Carlo
• Shortcuts for Adiabatic and Variational Algorithms in Molecular Simulation