Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors

• URL: http://arxiv.org/abs/2306.06341v1
• Date: Sat, 10 Jun 2023 04:52:58 GMT
• Title: Mapping Molecular Hamiltonians into Hamiltonians of Modular cQED Processors
• Authors: 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
• Abstract summary: We introduce a general method to map the Hamiltonian of an arbitrary model system into the Hamiltonian of a circuit Quantum Electrodynamics (cQED) processor. The method is illustrated as applied to quantum dynamics simulations of the Fenna-Matthews-Olson complex and the spin-boson model of charge transfer.
• Score: 50.893896302254944
• License: http://creativecommons.org/licenses/by/4.0/
• 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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