Quantum Simulation of Fermionic Systems: towards a QCD-inspired method for existing and near-term quantum computer devices

Abstract
Quantum Simulation of Fermionic Systems: towards a QCD-inspired method for existing and near-term quantum computer devices. It is important to emphasise that whatever model/approximation to QCD one favours, it should obey to three conditions:
1-It has to “contain” confinement;
2-it has to be chiral symmetric and, despite that;
3-possess a mechanism for spontaneous breaking of chiral symmetry (SχSB).

One simple Hamiltonian that obeys the three above requirements is transformed via Bravyi-Kitaev transformations into an effective Hamiltonian in terms of operators, aka Pauli matrices, and latter submitted to a quantum computer. One entanglement, is observed.

Authors: Sofia Leitão, Diogo Cruz, João Seixas, Yasser Omar, José Emı́lio Ribeiro