Quantum simulation of classical RCL circuits via complexification and Schrödingerization
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.
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BibTeX
@misc{fanchiotti2026quantum,
title = {{Quantum simulation of classical RCL circuits via complexification and Schrödingerization}},
author = {Huner Fanchiotti and Carlos A. García Canal and Miguel A. Mayosky and Alejandro L. Veiga and Armando Pérez and Rafael Gómez-Lurbe and Vicente Vento},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07300},
eprint = {2611.07300},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07300},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum simulation of classical RCL circuits via complexification and Schrödingerization
AU - Huner Fanchiotti
AU - Carlos A. García Canal
AU - Miguel A. Mayosky
AU - Alejandro L. Veiga
AU - Armando Pérez
AU - Rafael Gómez-Lurbe
AU - Vicente Vento
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07300
UR - https://arxiv.org/abs/2611.07300
AB - 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.
ER -