Extended Data Fig. 4: Injecting an encoded state into the heavy-hex code.
From: Encoding a magic state with beyond break-even fidelity
The injected state is initially encoded on the [[4, 1, 2]] code. (left) A lattice with qubits on the vertices. We show the support of a single Pauli-Z gauge check and a Pauli-X stabilizer operator. The support of the Pauli-Z gauge check is shown in dark gray. The Pauli-X stabilizer operator is shaded grey towards the top of the lattice. We also show the support of a Pauli-X- and Pauli-Z-type stabilizer in green and blue, respectively. (right) The stabilizer group for \({{\mathcal{S}}}_{{\rm{init.}}}\). The [[4, 1, 2]] code is outlined in red in the bottom-left corner of the lattice. The other qubits are initialized in a product state with blue (green) qubits initialized in the \(\left|0\right\rangle \) (\(\left|+\right\rangle \)) state. Stabilizer operators \({{\mathcal{S}}}_{{\rm{def.}}}={{\mathcal{S}}}_{{\rm{init.}}}\cap {{\mathcal{S}}}_{{\rm{fin.}}}\) are shaded in the figure.
