학술논문
Simulating adiabatic quantum computation with a variational approach
Document Type
Working Paper
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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.
Comment: This work was completed in 2016 and presented at the APS March Meeting in Baltimore in its final form (Session C45, Abstract: C45.00009 : Accurate Variational Description of Adiabatic Quantum Optimization). A preprint with minimal changes was published in 2024. Related but more recent references might be missing, feedback is appreciated
Comment: This work was completed in 2016 and presented at the APS March Meeting in Baltimore in its final form (Session C45, Abstract: C45.00009 : Accurate Variational Description of Adiabatic Quantum Optimization). A preprint with minimal changes was published in 2024. Related but more recent references might be missing, feedback is appreciated