Table 4 Parameters obtained after fitting the measured fidelities of systems prepared in states \(|{\Psi _{1}}\rangle =(|{01}\rangle +|{10}\rangle )/\sqrt{2}\), \(|{\Psi _{2}}\rangle =(|{001}\rangle +|{010}\rangle +|{100}\rangle +|{111}\rangle )/2\) and \(|{\Psi _{3}}\rangle =(|{001}\rangle +|{010}\rangle +|{100}\rangle +|{111}\rangle )/2\) after application of \(N\in [1,600]\) pairs of identity gates (extended free evolution) to the exponential function in Eq. (12).

From: Implementation of leakage elimination operators and subspace protection

 

\(\alpha _{i}\)

\(\beta _{i}\)

\(\gamma _{i}\)

\(f_{1}^{\text {exp}}\)

0.369141

0.280273

\((3.01\pm 0.05)\times 10^{-3}\)

\(f_{2}^{\text {exp}}\)

0.452148

0.404297

\((3.82\pm 0.04) \times 10^{-3}\)

\(f_{3}^{\text {exp}}\)

0.202148

0.790039

\((1.01 \pm 0.01)\times 10^{-2}\)