Hamiltonian Forging of a Thermofield Double
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916576349913088 |
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| author | Faílde, Daniel Santos-Suárez, Juan Herrera-Martí, David A. Mas, Javier |
| author_facet | Faílde, Daniel Santos-Suárez, Juan Herrera-Martí, David A. Mas, Javier |
| contents | We address the variational preparation of the Thermofield Double as the ground state of a suitably engineered Hamiltonian acting on the doubled Hilbert space. Through the use of the Entanglement Forging ansatz, we propose a solution that involves only circuits of width $N$. We illustrate the method with generic fermionic Hamiltonians. The free fermion case can be solved in closed form, and yields a warm start state for the variational circuits whenever interactions are present. As an important side product, this method returns the complete energy spectrum and eigenbasis of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10566 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hamiltonian Forging of a Thermofield Double Faílde, Daniel Santos-Suárez, Juan Herrera-Martí, David A. Mas, Javier Quantum Physics Statistical Mechanics High Energy Physics - Theory We address the variational preparation of the Thermofield Double as the ground state of a suitably engineered Hamiltonian acting on the doubled Hilbert space. Through the use of the Entanglement Forging ansatz, we propose a solution that involves only circuits of width $N$. We illustrate the method with generic fermionic Hamiltonians. The free fermion case can be solved in closed form, and yields a warm start state for the variational circuits whenever interactions are present. As an important side product, this method returns the complete energy spectrum and eigenbasis of the system. |
| title | Hamiltonian Forging of a Thermofield Double |
| topic | Quantum Physics Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.10566 |