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