2 papers
quant-ph2026
Quantum simulation of the Liouville equation in classical mechanics with discontinuous potential via Schrödingerization
Shi Jin, Shuyi Zhang
We develop quantum simulation algorithms for the Liouville equation of classical mechanics with discontinuous potential. Such discontinuities represent potential barriers at which…
quant-ph2026
Quantum simulation of Liouville equation in geometrical optics with partial transmission and reflection via Schrödingerization
Shi Jin, Shuyi Zhang
This paper investigates quantum simulation algorithms for the Liouville equation in geometrical optics with partial transmission and reflection at sharp interfaces, based on the Sc…