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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.01079 |
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| _version_ | 1866912102524911616 |
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| author | D'Anna, Matteo Marinkovic, Marina Krstic Barros, Joao C. Pinto |
| author_facet | D'Anna, Matteo Marinkovic, Marina Krstic Barros, Joao C. Pinto |
| contents | Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $θ$-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 $θ$-term and in studying string breaking phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01079 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D D'Anna, Matteo Marinkovic, Marina Krstic Barros, Joao C. Pinto High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory Quantum Physics Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $θ$-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 $θ$-term and in studying string breaking phenomena. |
| title | Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2411.01079 |