Table 3 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 \(N\in [1,600]\) LEOs to the exponential function in Eq. (12), with extra identity gates between LEO applications.

From: Implementation of leakage elimination operators and subspace protection

 

\(\alpha _{i}\)

\(\beta _{i}\)

\(\gamma _{i}\)

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

0.557617

0.166992

\((2.35\pm 0.07)\times 10^{-3}\)

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

0.619141

0.233398

\((4.16\pm 0.09)\times 10^{-3}\)

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

0.255859

0.738281

\((3.00\pm 0.04)\times 10^{-2}\)

  1. The specific LEOs we used are Z for \(|{\Psi _{1}}\rangle\) and \(|{\Psi }\rangle _{2}\) and CNOT for \(|{\Psi _{3}}\rangle\).