Bloch oscillation with a diatomic tight-binding model on quantum computers
Year: 2025
Type: article
Abstract: 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 gate representation via the Jordan-Wigner transform, we propose to use the few-body Hamiltonian matrix under the state-vector 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 state-vector basis representation. Both one-particle and two-particle quantum circuits are constructed, and some numerical tests on IBM hardware are presented.
Source: Physical Review Research
DOI: 10.1103/271g-ntj6
Authors: Peng Guo, Jaime Park, Frank X. Lee
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Awards: G222768804, NUCLEAR PHYSICS CALCULATIONS FROM QCD AND EFT, INVESTIGATIONS OF THE STURCTURE AND ELECTROMAGNETIC INTERACTIONS OF FEW-BODY SYSTEMS, Kavli Institute for Theoretical Physics, LEAPS-MPS: Toward Extracting the Scattering Phase Shift from Integrated Correlation Functions of Two-Nucleon Interaction in LQCD
OpenAlex ID: W4414534353