aiqbench analysis
This paper proposes a mathematical framework to map classical RCL circuit dynamics into equivalent quantum formulations, enabling their simulation on quantum hardware. By establishing this "complexification" bridge, researchers can leverage quantum algorithms to solve specific classical differential equations that are otherwise computationally intensive. The work highlights a practical pathway for using quantum processors to accelerate simulations in classical engineering domains.
Quantum simulation of classical RCL circuits via complexification and Schr\"odingerization
arXiv:2611.07300v1 Announce Type: new Abstract: The decomplexification procedure establishes a mathematical equivalence between finite dimensional quantum dynamics and classical dynamics by mapping the complex quantum domain onto the real classical one. Its inverse process, complexification --- which lifts a classical dynamics to an equivalent quantum formulation --- is of great interest, particularly because it enables the quantum simulation of equations that are of classical relevance. In this way, one can prepare the solution of classical differential equations to be implemented using quantum computation tools. In the present work, we recall the decomplexification procedure and also discuss several distinct strategies for performing the complexification of classical equations, so as to obtain the corresponding quantum-equivalent dynamics.
Read the full article at arXiv