TY  - EJOUR
AU  - Chai, Yahui
AU  - Crippa, Arianna
AU  - Jansen, Karl
AU  - Kühn, Stefan
AU  - Pascuzzi, Vincent R.
AU  - Tacchino, Francesco
AU  - Tavernelli, Ivano
TI  - Fermionic wave packet scattering: a quantum computing approach
IS  - arXiv:2312.02272
M1  - PUBDB-2024-07806
M1  - arXiv:2312.02272
PY  - 2024
AB  - Quantum computing provides a novel avenue towards simulating dynamical phenomena, and, in particular, scattering processes relevant for exploring the structure of matter. However, preparing and evolving particle wave packets on a quantum device is a nontrivial task. In this work, we propose a method to prepare Gaussian wave packets with momentum on top of the interacting ground state of a fermionic Hamiltonian. Using Givens rotation, we show how to efficiently obtain expectation values of observables throughout the evolution of the wave packets on digital quantum computers. We demonstrate our technique by applying it to the staggered lattice formulation of the Thirring model and studying the scattering of two wave packets. Monitoring the particle density and the entropy produced during the scattering process, we characterize the phenomenon and provide a first step towards studying more complicated collision processes on digital quantum computers. In addition, we perform a small-scale demonstration on IBM's quantum hardware, showing that our method is suitable for current and near-term quantum devices.
KW  - wave: scattering (INSPIRE)
KW  - particle: density (INSPIRE)
KW  - fermion: scattering (INSPIRE)
KW  - ground state (INSPIRE)
KW  - quantum device (INSPIRE)
KW  - monitoring (INSPIRE)
KW  - Thirring model (INSPIRE)
KW  - Hamiltonian (INSPIRE)
KW  - lattice (INSPIRE)
KW  - entropy (INSPIRE)
KW  - entanglement (INSPIRE)
KW  - rotation (INSPIRE)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2024-07806
UR  - https://bib-pubdb1.desy.de/record/619667
ER  -