Bloch oscillation with a diatomic tight-binding model on quantum computers
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911142227476480 |
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| author | Guo, Peng Park, Jaime Lee, Frank X. |
| author_facet | Guo, Peng Park, Jaime Lee, Frank X. |
| contents | We aim to explore a more efficient way to simulate few-body dynamics on quantum computers. Instead of mapping the second quantization of the system Hamiltonian to qubit Pauli gates representation via the Jordan-Wigner transform, we propose to use the few-body Hamiltonian matrix under the statevector basis representation which is more economical on the required number of quantum registers. For a single-particle excitation state on a one-dimensional chain, $Γ$ qubits can simulate $N=2^Γ$ number of sites, in comparison to $N$ qubits for $N$ sites via the Jordan-Wigner approach. A two-band diatomic tight-binding model is used to demonstrate the effectiveness of the statevector basis representation. Both one-particle and two-particle quantum circuits are constructed and some numerical tests on IBM hardware are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15945 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bloch oscillation with a diatomic tight-binding model on quantum computers Guo, Peng Park, Jaime Lee, Frank X. Quantum Physics Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Lattice Nuclear Theory We aim to explore a more efficient way to simulate few-body dynamics on quantum computers. Instead of mapping the second quantization of the system Hamiltonian to qubit Pauli gates representation via the Jordan-Wigner transform, we propose to use the few-body Hamiltonian matrix under the statevector basis representation which is more economical on the required number of quantum registers. For a single-particle excitation state on a one-dimensional chain, $Γ$ qubits can simulate $N=2^Γ$ number of sites, in comparison to $N$ qubits for $N$ sites via the Jordan-Wigner approach. A two-band diatomic tight-binding model is used to demonstrate the effectiveness of the statevector basis representation. Both one-particle and two-particle quantum circuits are constructed and some numerical tests on IBM hardware are presented. |
| title | Bloch oscillation with a diatomic tight-binding model on quantum computers |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2505.15945 |