Hybridized Methods for Quantum Simulation in the Interaction Picture

Understand

Conventional methods of quantum simulation involve trade-offs that limit their applicability to specific contexts where their use is optimal.

• In particular, the interaction picture simulation has been found to provide substantial asymptotic advantages for some Hamiltonians, but incurs prohibitive constant factors and is incompatible with methods like qubitization.
• We provide a framework that allows different simulation methods to be hybridized and thereby improve performance for interaction picture simulations over known algorithms.
• These approaches show asymptotic improvements over the individual methods that comprise them and further make interaction picture simulation methods practical in the near term.