Optimality of LCHS guarantees for physical oscillator realizations

Establish whether the optimality guarantees of linear-combination-of-Hamiltonian-simulation algorithms apply to physical realizations of the non-Markovian coupled oscillator systems considered here.

Background

The paper uses LCHS to simulate non-Hermitian oscillator generators and invokes its asymptotic query optimality with respect to the Hamiltonian and dissipator. However, the authors distinguish abstract oracle-query optimality from optimality for concrete physical implementations, where oracle construction, parameter access, material structure, and circuit overhead may alter the achievable performance.