We introduce a general method based on the operators of the Dyson-Masleev transformation to map the Hamiltonian of an arbitrary model system into the Hamiltonian of a circuit Quantum Electrodynamics (cQED) processor. Furthermore, we introduce a modular approach to program a cQED processor with components corresponding to the mapping Hamiltonian. The method is illustrated as applied to quantum dynamics simulations of the Fenna-Matthews-Olson (FMO) complex and the spin-boson model of charge transfer. Beyond applications to molecular Hamiltonians, the mapping provides a general approach to implement any unitary operator in terms of a sequence of unitary transformations corresponding to powers of creation and annihilation operators of a single bosonic mode in a cQED processor.
@article{arxiv.2306.06341,
title = {Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors},
author = {Ningyi Lyu and Alessandro Miano and Ioannis Tsioutsios and Rodrigo Cortinas and Kenneth Jung and Yuchen Wang and Zixuan Hu and Eitan Geva and Sabre Kais and Victor S. Batista},
journal= {arXiv preprint arXiv:2306.06341},
year = {2023}
}