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Simulating adiabatic quantum computation with a variational approach

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arxiv 2403.05147 v1 pith:QYZ6W3M6 submitted 2024-03-08 quant-ph cond-mat.dis-nnphysics.comp-ph

classification quant-phcond-mat.dis-nnphysics.comp-ph
keywords approachquantumvariationaladiabaticcomputationdynamicsproblemssimulating
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constructive interference at the edge of quantum ergodic dynamics

    quant-ph 2025-06 conditional novelty 7.0 of 10

    Second-order out-of-time-order correlators measured on 65-qubit random circuits remain sensitive to dynamics and are estimated to be beyond the reach of current classical tensor-network simulation.

  2. Simulating dynamics of the two-dimensional transverse-field Ising model: a comparative study of large-scale classical numerics

    quant-ph 2025-11 accept novelty 6.0 of 10

    Classical simulations of the 2D transverse-field Ising model are reliable for quasi-adiabatic annealing across methods, but near-critical post-quench dynamics defeats MPS, TTN, 2DTN-BP, and NQS beyond tJ≈2.

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