Exact Ansatz of Fermion-Boson Systems for a Quantum Device

• URL: http://arxiv.org/abs/2402.12273v1
• Date: Mon, 19 Feb 2024 16:38:57 GMT
• Title: Exact Ansatz of Fermion-Boson Systems for a Quantum Device
• Authors: Samuel Warren, Yuchen Wang, Carlos L. Benavides-Riveros and David A. Mazziotti
• Abstract summary: An exact ansatz for the eigenstate problem of mixed fermion-boson systems can be implemented on quantum devices. Our results demonstrate that the CSE is a powerful tool in the development of quantum algorithms for solving general fermion-boson many-body problems.
• Score: 5.915403570478968
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present an exact ansatz for the eigenstate problem of mixed fermion-boson systems that can be implemented on quantum devices. Based on a generalization of the electronic contracted Schr\"odinger equation (CSE), our approach guides a trial wave function to the ground state of any arbitrary mixed Hamiltonian by directly measuring residuals of the mixed CSE on a quantum device. Unlike density-functional and coupled-cluster theories applied to electron-phonon or electron-photon systems, the accuracy of our approach is not limited by the unknown exchange-correlation functional or the uncontrolled form of the exponential ansatz. To test the performance of the method, we study the Tavis-Cummings model, commonly used in polaritonic quantum chemistry. Our results demonstrate that the CSE is a powerful tool in the development of quantum algorithms for solving general fermion-boson many-body problems.

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