[Submitted on 21 May 2025] (cross-list from quant-ph)
Bloch oscillation with a diatomic tight-binding model on quantum computers
Peng Guo🇺🇸 · Jaime Park🇺🇸 · Frank X. Lee🇺🇸
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, qubits can simulate number of sites, in comparison to qubits for 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.
- Comments:
- match to accepted version at PRR
- Subjects:
- Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); cond-mat.other (cond-mat.other); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2505.15945 [pdf]