Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing

Takuya Hatomura; Takashi Mori

doi:10.1103/physreve.98.032136

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arXiv · 1806.00229

Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing

Takuya Hatomura·Takashi Mori

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Abstract

We propose a simple construction of shortcuts to adiabaticity tracking instantaneous stationary states in classical spin systems without knowing tracked stationary states. In our construction, control fields of counter-diabatic driving are constituted by state-dependent magnetic fields, which can be easily determined with an aid of numerical calculations. Easiness of our construction is a remarkable feature since it is usually a hard task to determine explicit form of required counter-diabatic terms in many-body systems. We also argue that our method can be applied to solve combinatorial optimization problems by considering classical spin dynamics under a time-dependent Hamiltonian, which mimics the procedure of quantum annealing.

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Takuya Hatomura, Takashi Mori. 2018-09-07. Shortcuts to Adiabatic Classical Spin Dynamics Mimicking Quantum Annealing. https://doi.org/10.1103/physreve.98.032136

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