Preprint

PUBDB-2024-07806

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Fermionic wave packet scattering: a quantum computing approach

Chai, Y. (Corresponding author)DESY* ; Crippa, A.DESY* ; Jansen, K.DESY* ; Kühn, S.DESY* ; Pascuzzi, V. R. ; Tacchino, F. ; Tavernelli, I.

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-07806

Report No.: arXiv:2312.02272

Abstract: 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.

Keyword(s): wave: scattering ; particle: density ; fermion: scattering ; ground state ; quantum device ; monitoring ; Thirring model ; Hamiltonian ; lattice ; entropy ; entanglement ; rotation

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Contributing Institute(s):

1. Centre f. Quantum Techno. a. Application (CQTA)
2. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Chai, Y. (Corresponding author)DESY* ; Crippa, A.DESY* ; Jansen, K.DESY* ; Kühn, S.DESY* ; Pascuzzi, V. (Corresponding author)Extern* ; Tacchino, F. ; Tavernelli, I.
Fermionic wave packet scattering: a quantum computing approach
Quantum 9, 1638 (2025) [10.22331/q-2025-02-19-1638]2025     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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