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Bibliographic Details
Main Authors: Yusf, Muhammad, Gan, Ling, Moffat, Cameron, Rupak, Gautam
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.09231
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author Yusf, Muhammad
Gan, Ling
Moffat, Cameron
Rupak, Gautam
author_facet Yusf, Muhammad
Gan, Ling
Moffat, Cameron
Rupak, Gautam
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_09231
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Elastic scattering on a quantum computer
Yusf, Muhammad
Gan, Ling
Moffat, Cameron
Rupak, Gautam
Nuclear Theory
Quantum Physics
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.
title Elastic scattering on a quantum computer
topic Nuclear Theory
Quantum Physics
url https://arxiv.org/abs/2406.09231