A randomised-benchmarking experiment on a single qubit ( ) is fitted to with

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Quantum Information and Technology, Ch What a qubit must do: requirements, tomography and benchmarking

Problem

A randomised-benchmarking experiment on a single qubit (d=2d=2) is fitted to F(m)=Apm+BF(m) = Ap^m + B with A=0.5A=0.5, B=0.5B=0.5 and decay parameter p=0.995p=0.995. ((a)) Calculate the error per Clifford r=(1−p)(d−1)/dr = (1-p)(d-1)/d. ((b)) Predict the survival probability F(m)F(m) at m=200m=200 Clifford gates.

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