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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.
Following the modern approach of "measure first -- ask later", the same data may be used for other randomized protocols from the "toolbox", and gate set tomography.
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