# How can I get fidelity of a gate from randomized benchmarking?

I found (page 33) the method of finding fidelity from fit by "interleaved and reference decay" according to the sequence fidelity formula: $$F_{ref}=Ap_{ref}^{m}+B,$$ where $$p_{ref}^{m}$$ is sequence decay.

But if we look at the following datasets:

we can find that the reference sequence fidelity curve is close to $$1$$ and the other curves corresponding to the gates - around $$0.998-0.999$$ (which corresponds to decay $$p_{gate}$$).

How could it be that the difference between interleaved and reference decays is around $$0.999$$?

• Can I extract fidelity from gate error: $r_{gate}=(1-p_{gate}/p_{ref})(d-1)/d$ with $d=2^n$ and fidelity will be 1-$r_{gate}$? Oct 14, 2021 at 9:21