A Quantum Algorithm for Simulating Nonunitary Dynamics Governed by Nonautonomous Linear Ordinary Differential Equations

Pouya Khazaei, Eitan Geva

Nonautonomous linear ordinary differential equations of the form $\dot{v}(t)=A(t)v(t)$, where $A(t)$ is non-skew-symmetric, are often used to describe nonunitary dynamics in a…