Digital quantum simulation of lattice fermion theories with local encoding
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917768688828416 |
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| author | Ballarin, Marco Cataldi, Giovanni Magnifico, Giuseppe Jaschke, Daniel Di Liberto, Marco Siloi, Ilaria Montangero, Simone Silvi, Pietro |
| author_facet | Ballarin, Marco Cataldi, Giovanni Magnifico, Giuseppe Jaschke, Daniel Di Liberto, Marco Siloi, Ilaria Montangero, Simone Silvi, Pietro |
| contents | We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories under open boundary conditions. The digital quantum simulator requires solely one- and two-qubit gates and is scalable since integrating each Hamiltonian term requires a finite (non-scaling) cost. The exact local fermion encoding we adopt relies on auxiliary $\mathbb{Z}_2$ lattice gauge fields by adding a pure gauge Hamiltonian term akin to the Toric Code. By numerically emulating the quantum simulator real-time dynamics, we observe a timescale separation for spin- and charge-excitations in a spin-$\frac{1}{2}$ Hubbard ladder in the $t-J$ model limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15091 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Digital quantum simulation of lattice fermion theories with local encoding Ballarin, Marco Cataldi, Giovanni Magnifico, Giuseppe Jaschke, Daniel Di Liberto, Marco Siloi, Ilaria Montangero, Simone Silvi, Pietro Quantum Physics Strongly Correlated Electrons We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories under open boundary conditions. The digital quantum simulator requires solely one- and two-qubit gates and is scalable since integrating each Hamiltonian term requires a finite (non-scaling) cost. The exact local fermion encoding we adopt relies on auxiliary $\mathbb{Z}_2$ lattice gauge fields by adding a pure gauge Hamiltonian term akin to the Toric Code. By numerically emulating the quantum simulator real-time dynamics, we observe a timescale separation for spin- and charge-excitations in a spin-$\frac{1}{2}$ Hubbard ladder in the $t-J$ model limit. |
| title | Digital quantum simulation of lattice fermion theories with local encoding |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2310.15091 |