The analysis demonstrates how quantum simulation extracts phase shifts from two-particle systems, suggesting innovative applications of quantum computing.
Based on an established relation that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral, we propose to extract the infinite volume scattering phase shifts through quantum simulation of the integrated correlation functions of trapped two-particle systems on quantum computers. The integrated correlation function can be computed by an ancilla-based algorithm. The proposal is demonstrated with a simple contact interaction fermion model.
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Guo Peng (2025) studied this question.
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