Randomized Benchmarking Simulations of Quantum Gate Sequences with Z-gate Virtualization

Abstract

The implementation of quantum algorithms relies on high fidelity quantum gate operations. Single and two-qubit gate errors lead to reductions in the average fidelity of quantum gate sequences. Using the Z-gate virtualization procedure, the average sequence fidelity of single-qubit gate sequences can be increased. In two-qubit gate sequences containing the iSWAP gate, the Z-gate virtualization procedure can in some cases result in reduced average sequence fidelities due to the presence of coherent errors from the implementation of the iSWAP gate. In this thesis, we study the effect of single and two-qubit gate errors on the Z-gate virtualization procedure in single and two-qubit gate sequences. We develop randomized benchmarking simulations in order to identify when the Z-gate virtualization procedure is effective at increasing the average sequence fidelity.