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arXiv · 2306.06341

Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors

Ningyi Lyu·Alessandro Miano·Ioannis Tsioutsios·Rodrigo Cortinas·Kenneth Jung·Yuchen Wang·Zixuan Hu·Eitan Geva·Sabre Kais·Victor S. Batista
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Abstract

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.

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Ningyi Lyu, Alessandro Miano, Ioannis Tsioutsios, Rodrigo Cortinas, Kenneth Jung, Yuchen Wang, Zixuan Hu, Eitan Geva, Sabre Kais, Victor S. Batista. 2023-06-10. Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors. https://arxiv.org/abs/2306.06341

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