Elastic scattering on a quantum computer

• URL: http://arxiv.org/abs/2406.09231v1
• Date: Thu, 13 Jun 2024 15:31:38 GMT
• Title: Elastic scattering on a quantum computer
• Authors: Muhammad Yusf, Ling Gan, Cameron Moffat, Gautam Rupak,
• Abstract summary: We calculate the two-particle elastic scattering phase shift for a short-ranged interaction on a quantum computer. Schmidt decomposition is used to reduce quantum circuits nominally requiring tens of qubits to 2-qubit circuits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Scattering probes the internal structure of quantum systems. We calculate the two-particle elastic scattering phase shift for a short-ranged interaction on a quantum computer. Short-ranged interactions with a large scattering length or shallow bound state describe a universality class that is of interest in atomic, condensed matter, nuclear, and particle physics. The phase shift is calculated by relating the ground state energy of the interacting particles in a harmonic trap. The relaxation method is used as the variational quantum eigensolver for the ground state calculation. Schmidt decomposition is used to reduce quantum circuits nominally requiring tens of qubits to 2-qubit circuits, thus reducing the noise in quantum measurements. Calculations in multi-particle systems with many-body interactions would benefit from this reduction of qubits in noisy quantum processors.

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