2025/05/21 by Peng Guo, J. Park, Guo, Peng +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Neural Networks and Reservoir Computing #Nuclear Theory (nucl-th) #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Random lasers and scattering media
paper · pdf · doi:10.48550/arxiv.2505.15945
openalex publication_date 2025/05/21 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/01
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=2Γ 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.