We explore the utility of d=8 qudits, qu8its, for quantum simulations of the dynamics of 1+1D SU(3) lattice quantum chromodynamics, including a mapping for arbitrary numbers of flavors and lattice size and a re-organization of the Hamiltonian for efficient time-evolution. Recent advances in parallel gate applications, along with the shorter application times of single-qudit operations compared with two-qudit operations, lead to significant projected advantages in quantum simulation fidelities and circuit depths using qu8its rather than qubits. The number of two-qudit entangling gates required for time evolution using qu8its is found to be more than a factor of five fewer than for qubits. We anticipate that the developments presented in this work will enable improved quantum simulations to be performed using emerging quantum hardware.
This work was supported, in part, by Universität Bielefeld and ERC-885281-KILONOVA Advanced Grant (Caroline Robin), by U.S. Department of Energy, Office of Science, Office of Nuclear Physics, Inqubator for Quantum Simulation (IQuS)9 under Award Number DOE (NP) Award DE-SC0020970 (Martin Savage), and the Quantum Science Center (QSC), a National Quantum Information Science Research Center of the U.S. Department of Energy (Marc Illa). This work was supported, in part, through the Department of Physics and the College of Arts and Sciences at the University of Washington.
