Computerimplementiertes Verfahren zur Annäherung von mindestens Zwei Unbekannten Variablen einer Menge von Partiellen Differentialgleichungen, Hybrides Rechnersystem, Computerprogrammprodukt und Computerlesbares Medium

Details

Veröffentlichungs-Nr.

EP4797152

Anmeldetag

20. Februar 2025

Veröffentlichung

26. August 2026

Rechtsraum

EP

Abstract

The invention relates to a computer-implemented method for approximating at least two unknown variables (10) of a set of partial differential equations using a quantum physics-informed neural network (100), the method comprising the steps: providing a numerical grid (20) having grid coordinates (30) at which the unknown variables (10) are to be approximated; providing a quantum physics-informed neural network (100), the quantum physics-informed neural network (100) comprising a hybrid network (110) for each unknown variable (10), wherein the hybrid networks (110) are not interconnected to each other, each hybrid network (110) having a quantum network (120) having at least one quantum layer (130) and a classical network (140) having at least one classical layer (150), wherein the respective quantum network (120) and the respective classical network (140) are not interconnected; inputting the grid coordinates (30) into the quantum physics-informed neural network (100), such that the grid coordinates (30) are input to each hybrid network (110); and computing the output (H_out) of each hybrid network (110) for each grid coordinate (30), each output (H_out) corresponding to a different unknown variable (10) to be approximated at the grid coordinate (30), wherein the output (H_out) of each hybrid network (110) is obtained by combining an output of the respective quantum network (Q_out) and an output of the respective classical network (C_out) of said hybrid network (110). The invention further relates to a hybrid computing system, a computer program product and a computer-readable medium.

Anmelder

Firma

Terra Quantum AG

Land

🇨🇭 Schweiz