Quantum Annealing search of Ising spin glass ground state(s) with tunable transverse & longitudinal fields

TL;DR

This paper explores quantum annealing for finding ground states of Ising spin glasses, using tunable transverse and longitudinal fields, and demonstrates high overlap with exact solutions through numerical simulations.

Contribution

It introduces a method for quantum annealing with both transverse and longitudinal fields that are tuned simultaneously and studies its effectiveness on small systems.

Findings

High overlap with exact ground states achieved

Both fields can be tuned to optimize annealing

Numerical solutions validate the approach

Abstract

Here we first discuss briefly the quantum annealing technique. We then study the quantum annealing of Sherrington-Kirkpatrick spin glass model with the tuning of both transverse and longitudinal fields. Both the fields are time-dependent and vanish adiabatically at the same time, starting from high values. We solve, for rather small systems, the time-dependent Schrodinger equation of the total Hamiltonian by employing a numerical technique. At the end of annealing we obtain the final state having high overlap with the exact ground state(s) of classical spin glass system (obtained independently).