Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D

• URL: http://arxiv.org/abs/2411.01079v1
• Date: Fri, 01 Nov 2024 23:24:12 GMT
• Title: Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D
• Authors: Matteo D'Anna, Marina Krstic Marinkovic, Joao C. Pinto Barros,
• Abstract summary: We address algorithms for adiabatic state preparation in digital quantum simulations of QED2. We propose a new adiabatic Hamiltonian and verify its efficiency in targeting systems with a nonzero topological $theta$-term.
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• Abstract: Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $\theta$-term is considered. Its lattice regularization is a commonly used toy model for quantum simulations of gauge theories on near-term quantum devices. In this work, we address algorithms for adiabatic state preparation in digital quantum simulations of QED2. We demonstrate that, for specific choices of parameters, the existing adiabatic procedure leads to level crossing between states of different charge sectors, preventing the correct preparation of the ground state. We further propose a new adiabatic Hamiltonian and verify its efficiency in targeting systems with a nonzero topological $\theta$-term and in studying string breaking phenomena.

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