Gate fidelity and randomized benchmarking
Reliable processors require quantified gate errors.
$$F_{\rm avg}=\int d\psi\,\langle\psi|\mathcal E(|\psi\rangle\langle\psi|)|\psi\rangle$$
Physical intuition
Reliable processors require quantified gate errors.
Deep dive: physical mechanism
Randomized benchmarking extracts an average decay parameter under protocol assumptions.
What is measured experimentally?
Sequence-length-dependent survival probabilities provide error estimates.
Assumptions, noise and limitations
Leakage, drift and gate dependence complicate interpretation.
Research and simulation exercise
Fit an exponential benchmarking curve and confidence interval.
Connect the ideas
Explore the chapter overview, learning path, and references.