Optimized experiment design and analysis for fully randomized benchmarking

Randomized benchmarking (RB) is a widely used strategy to assess the quality of available quantum gates in a computational context. The quality is usually expressed as an effective depolarizing error per step. RB involves applying random sequences of gates to an initial state and making a final measurement to determine the probability of an error. Current implementations of RB estimate this probability by repeating each randomly chosen sequence many times. Here we investigate the advantages of fully randomized benchmarking, where each randomly chosen sequence is run only once.