Table 3 The set \(\pmb{\mathcal{P}_{\mathrm{swapping}}}\) of all the two-qubit couplings required to measure the plaquette p and the six vertex operators of Figure 5 , following the plaquette swapping method of Ref. [ 28 ]
From: Methodology for bus layout for topological quantum error correcting codes
Primary Qubit | Qubits to which the primary qubit couples |
|---|---|
\(\alpha_{0}\) | \(\alpha_{9}\) |
\(a_{1}\) | \(i_{1}\), \(i_{2}\), \(\alpha_{1}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(a_{2}\) | \(i_{2}\), \(i_{3}\), \(\alpha_{2}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(a_{3}\) | \(i_{3}\), \(i_{4}\), \(\alpha_{3}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(a_{4}\) | \(i_{4}\), \(i_{5}\), \(\alpha_{4}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(a_{5}\) | \(i_{5}\), \(i_{6}\), \(\alpha_{5}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(a_{6}\) | \(i_{1}\), \(i_{6}\), \(\alpha_{6}\), \(\alpha_{7}\), \(\alpha_{8}\), \(\alpha_{9}\) |
\(i_{1}\) | \(a_{1}\), \(a_{6}\), \(i_{2}\), \(i_{6}\), \(\alpha_{1}\), \(\alpha_{6}\), \(\alpha_{7}\), \(\alpha_{8}\), \(\alpha_{9}\) |
\(i_{2}\) | \(a_{1}\), \(a_{2}\), \(i_{1}\), \(i_{3}\), \(\alpha_{1}\), \(\alpha_{2}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(i_{3}\) | \(a_{2}\), \(a_{3}\), \(i_{2}\), \(i_{4}\), \(\alpha_{2}\), \(\alpha_{3}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(i_{4}\) | \(a_{3}\), \(a_{4}\), \(i_{3}\), \(i_{5}\), \(\alpha_{3}\), \(\alpha_{4}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(i_{5}\) | \(a_{4}\), \(a_{5}\), \(i_{4}\), \(i_{6}\), \(\alpha_{4}\), \(\alpha_{5}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(i_{6}\) | \(a_{5}\), \(a_{6}\), \(i_{1}\), \(i_{5}\), \(\alpha_{5}\), \(\alpha_{6}\), \(\alpha_{7}\), \(\alpha_{8}\), \(\alpha_{9}\) |
\(\alpha_{1}\) | \(a_{1}\), \(i_{1}\), \(i_{2}\) |
\(\alpha_{2}\) | \(a_{2}\), \(i_{2}\), \(i_{3}\) |
\(\alpha_{3}\) | \(a_{3}\), \(i_{3}\), \(i_{4}\) |
\(\alpha_{4}\) | \(a_{4}\), \(i_{4}\), \(i_{5}\) |
\(\alpha_{5}\) | \(a_{5}\), \(i_{5}\), \(i_{6}\) |
\(\alpha_{6}\) | \(a_{6}\), \(i_{1}\), \(i_{6}\) |
\(\alpha_{7}\) | \(a_{1}\), \(a_{2}\), \(a_{3}\), \(a_{4}\), \(a_{5}\), \(a_{6}\), \(i_{1}\), \(i_{2}\), \(i_{3}\), \(i_{4}\), \(i_{5}\), \(i_{6}\), \(\alpha_{8}\), \(\alpha_{9}\) |
\(\alpha_{8}\) | \(a_{6}\), \(i_{1}\), \(i_{6}\), \(\alpha_{7}\), \(\alpha_{9}\) |
\(\alpha_{9}\) | \(\alpha_{0}\), \(a_{1}\), \(a_{2}\), \(a_{3}\), \(a_{4}\), \(a_{5}\), \(a_{6}\), \(i_{1}\), \(i_{2}\), \(i_{3}\), \(i_{4}\), \(i_{5}\), \(i_{6}\), \(\alpha_{7}\), \(\alpha_{8}\) |