Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
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arXiv
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| Format: | Preprint |
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2021
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| author | Nguyen, Nhung H. Tran, Minh C. Zhu, Yingyue Green, Alaina M. Alderete, C. Huerta Davoudi, Zohreh Linke, Norbert M. |
| author_facet | Nguyen, Nhung H. Tran, Minh C. Zhu, Yingyue Green, Alaina M. Alderete, C. Huerta Davoudi, Zohreh Linke, Norbert M. |
| contents | Tracking the dynamics of physical systems in real time is a prime application of digital quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-time dynamics of a lattice gauge theory in 1+1 dimensions, i.e., the lattice Schwinger model, and demonstrate non-perturbative effects such as pair creation for times much longer than previously accessible. We study the gate requirement of two formulations of the model using the Suzuki-Trotter product formula, as well as the trade-off between errors from the ordering of the Hamiltonian terms, the Trotter step size, and experimental imperfections. To mitigate experimental errors, a recent symmetry-protection protocol for suppressing coherent errors and a symmetry-inspired post-selection scheme are applied. This work demonstrates the integrated theoretical, algorithmic, and experimental approach that is essential for efficient simulation of lattice gauge theories and other complex physical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_14262 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions Nguyen, Nhung H. Tran, Minh C. Zhu, Yingyue Green, Alaina M. Alderete, C. Huerta Davoudi, Zohreh Linke, Norbert M. Quantum Physics High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory Tracking the dynamics of physical systems in real time is a prime application of digital quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-time dynamics of a lattice gauge theory in 1+1 dimensions, i.e., the lattice Schwinger model, and demonstrate non-perturbative effects such as pair creation for times much longer than previously accessible. We study the gate requirement of two formulations of the model using the Suzuki-Trotter product formula, as well as the trade-off between errors from the ordering of the Hamiltonian terms, the Trotter step size, and experimental imperfections. To mitigate experimental errors, a recent symmetry-protection protocol for suppressing coherent errors and a symmetry-inspired post-selection scheme are applied. This work demonstrates the integrated theoretical, algorithmic, and experimental approach that is essential for efficient simulation of lattice gauge theories and other complex physical systems. |
| title | Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions |
| topic | Quantum Physics High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2112.14262 |