Nuclear two point correlation functions on a quantum computer
Abstract
The calculation of dynamic response functions is expected to be an early application benefiting from rapidly developing quantum hardware resources. The ability to calculate realtime quantities of strongly correlated quantum systems is one of the most exciting applications that can easily reach beyond the capabilities of traditional classical hardware. Response functions of fermionic systems at moderate momenta and energies corresponding roughly to the Fermi energy of the system are a potential early application because the relevant operators are nearly local, and the energies can be resolved in moderately short real time, reducing the spatial resolution and gate depth required. This is particularly the case in quasielastic electron and neutrino scattering from nuclei, a topic of great interest in the nuclear and particle physics communities and directly related to experiments designed to probe neutrino properties. In this work we use current quantum hardware and error mitigation protocols to calculate response functions for a highly simplified nuclear model through calculations of a 2point real time correlation function for a modified FermiHubbard model in two dimensions with three distinguishable nucleons on four lattice sites.
 Publication:

Physical Review D
 Pub Date:
 April 2022
 DOI:
 10.1103/PhysRevD.105.074503
 arXiv:
 arXiv:2111.02982
 Bibcode:
 2022PhRvD.105g4503B
 Keywords:

 Quantum Physics;
 High Energy Physics  Lattice;
 Nuclear Theory
 EPrint:
 13 pages, 6 figures