Scattering phase shifts from a quantum computer

Abstract

We calculate two-body scattering phase shifts on a quantum computer using a leading order short-range effective field theory Hamiltonian. The algorithm combines the variational quantum eigensolver and the quantum subspace expansion. As an example, we consider scattering in the deuteron ${}^3$S${}_1$ partial wave. We calculate scattering phase shifts with a quantum simulator and on real hardware. We also study how noise impacts these calculations and discuss noise mitigation required to extend our work to larger quantum processing units. With current hardware, up to five superconducting qubits can produce acceptable results, and larger calculations will require a significant noise reduction.

6 pages, 5 figures

References in corpus (5)

• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Universal properties of infrared oscillator basis extrapolations
• Inverse scattering J-matrix approach to nucleon-nucleus scattering and the shell model

Cited by in corpus (3)

• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
• Toward scalable quantum computations of atomic nuclei