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Quantum Simulation

Shortcuts to adiabaticity for quantum annealing

arXiv

Authors: Kazutaka Takahashi

Year

2016

Paper ID

42714

Status

Preprint

Abstract Read

~2 min

Abstract Words

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Abstract

We study the Ising Hamiltonian with a transverse field term to simulate the quantum annealing. Using shortcuts to adiabaticity, we design the time dependence of the Hamiltonian. The dynamical invariant is obtained by the mean-field ansatz, and the Hamiltonian is designed by the inverse engineering. We show that the time dependence of physical quantities such as the magnetization is independent of the speed of the Hamiltonian variation in the infinite-range model. We also show that rotating transverse magnetic fields are useful to achieve the ideal time evolution.

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We study the Ising Hamiltonian with a transverse field term to simulate the quantum annealing.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.08605 [2] arXiv https://arxiv.org/abs/1610.08605 [3] Publisher https://arxiv.org/abs/1610.08605

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