Table 4 The optimal TLR scheme obtained by solving the binary linear program for the measurement of the plaquette operator \(\pmb{B_{p}}\) and the six vertex operators \(\pmb{Q_{v}}\) of Figure 5 , following the plaquette swapping method of Ref. [ 28 ]
From: Methodology for bus layout for topological quantum error correcting codes
Length of the TLR wire | Qubits contained inside the TLR wire |
|---|---|
2.52 a.u. | \(\alpha_{9}\), \(\alpha_{8}\), \(i_{6}\), \(\alpha_{0}\), \(a_{6}\) |
2.84 | \(a_{1}\), \(i_{1}\), \(\alpha_{7}\), \(\alpha_{8}\), \(\alpha_{9}\) |
4.04 | \(\alpha_{7}\), \(\alpha_{9}\), \(i_{4}\), \(i_{3}\), \(a_{3}\) |
4.30 | \(\alpha_{9}\), \(\alpha_{7}\), \(a_{5}\), \(i_{5}\), \(a_{4}\) |
2.44 | \(i_{1}\), \(\alpha_{7}\), \(\alpha_{6}\), \(i_{6}\), \(a_{6}\) |
2.15 | \(i_{2}\), \(\alpha_{1}\), \(i_{1}\), \(a_{1}\) |
2.15 | \(i_{3}\), \(\alpha_{2}\), \(i_{2}\), \(a_{2}\) |
3.04 | \(\alpha_{7}\), \(\alpha_{9}\), \(i_{2}\), \(a_{2}\) |
2.15 | \(i_{5}\), \(\alpha_{4}\), \(i_{4}\), \(a_{4}\) |
1.63 | \(i_{5}\), \(\alpha_{5}\), \(i_{6}\), \(a_{5}\) |
1.15 | \(i_{4}\), \(\alpha_{3}\), \(a_{3}\) |
0.58 | \(i_{3}\), \(\alpha_{3}\) |