SOLVING A SET OF (NON)LINEAR DIFFERENTIAL EQUATIONS USING A HYBRID DATA PROCESSING SYSTEM COMPRISING A CLASSICAL COMPUTER SYSTEM AND A QUANTUM COMPUTER SYSTEM

摘要

A method is described for solving a set of (non)linear differential equations, DEs, using a hybrid data processing system comprising a classical computer system and a quantum computer system wherein the method may comprise receiving or determining, by the classical computer system, a formulation of quantum circuits representing the set of DEs, the quantum circuits being parameterized by variables x of the DEs and including one or more function circuits for determining one or more trial functions values f(xj) around one more points xj and one or more derivative function circuits for determining one or more trial derivative values around the one or more points xj; executing, by the quantum computer system, the quantum circuits for a set of points xj in the variable space x of the DEs; receiving, by the classical computer system, in response to the execution of the quantum circuits quantum, hardware measurement data; and, determining, by the classical computer system, on the basis of the quantum hardware measurement data and a loss function, if the quantum hardware measurement data forms a solution to the set of (non)linear DEs.