Method for estimating the thermodynamic properties of a quantum ising model with transverse field

Abstract

A method for estimating a thermodynamic property of a quantum Ising model with transverse field is disclosed. The method comprises obtaining an indication of a thermodynamic property to approximate for the quantum Ising model with transverse field; obtaining data representative of the quantum Ising model with transverse field; setting the quantum Ising model with transverse field using the obtained data representative of the quantum Ising model with transverse field on a quantum Ising model sampling device, the quantum Ising model sampling device being operatively coupled to a processing device and to a quantum Ising model sampling device control system; performing a plurality of measurements of the quantum Ising model with transverse field in a measurement axis using the quantum Ising model sampling device, each measurement providing a corresponding measured configuration; generating an effective classical Ising model corresponding to the quantum Ising model with transverse field; generating a plurality of effective configurations of the effective classical Ising model, each effective configuration comprising a set of more than one of the measured configurations; generating an approximation of the thermodynamic property of the effective classical Ising model using the generated plurality of effective configurations of the effective classical Ising model to approximate the thermodynamic property of the quantum Ising model with transverse field; and providing the approximation of the thermodynamic property.