We give general guarantees for benchmarking with random #quantum circuits. For fast-scrambling random circuits, linear depth is sufficient for function and sample-efficiency. Our analysis applies to prominent protocols such as linear XEB.

scirate.com/arxiv/2212.061… We study a variant of RB, dubbed "filtered RB", which applies a random sequence of gates, followed by a basis measurement. The inversion is effectively done in post-processing, making the protocol easier to implement in experiments.