Z3 gauge theory coupled to fermions and quantum computing
We study the Z3 gauge theory with fermions on the quantum computer using the
Variational Quantum Eigensolver (VQE) algorithm with IBM QISKit software. Using
up to 9 qubits we are able to obtain accurate results for the ground state
energy. Introducing nonzero chemical potential we are able to determine the
Equation of State (EOS) for finite density on the quantum computer. We discuss
possible realizations of quantum advantage for this system over classical
computers with regards to finite density simulations and the fermion sign
problem.
Ronak Desai Yuan Feng Mohammad Hassan Abhishek Kodumagulla Michael McGuigan