Real time evolution and a traveling excitation in SU(2) pure gauge theory on a quantum computer.
Emanuele Mendicelli, Randy Lewis, Sarmed A Rahman, Sarah J. Powell · Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) · 2023
The Hamiltonian approach can be used successfully to study the real-time evolution of a non-Abelian lattice gauge theory on the available noisy quantum computers. In this work, results from the real time evolution of SU(2) pure gauge theory on IBM hardware are presented. The long real-time evolution spanning dozens of Trotter steps with hundreds of CNOT gates and the observation of a traveling excitation on the lattice were made possible by using a collection of error mitigation techniques. Self-mitigation is our novel tool, which consists of using the same physics circuit as a noise-mitigation circuit.