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Simulating adiabatic quantum computation with a variational approach

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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.

fields

quant-ph 1

years

2025 1

verdicts

CONDITIONAL 1

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  • Constructive interference at the edge of quantum ergodic dynamics quant-ph · 2025-06-11 · conditional · none · ref 42 · internal anchor

    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.