Extended Data Fig. 5: Injecting an encoded two-qubit state into the color code.
From: Encoding a magic state with beyond break-even fidelity
The state is initially encoded with the [[4, 2, 2]] code. A qubit is supported on each of the vertices of the lattice. We initialize the system \({{\mathcal{S}}}_{{\rm{init.}}}\) such that the [[4, 2, 2]] code, shaded in red, is supported on a weight-four face in the bottom left corner of the lattice. The other qubits are prepared in Bell pairs on the highlighted blue and green edge terms. As such, we shade the faces of \({{\mathcal{S}}}_{{\rm{def.}}}\) where both a Pauli-X and Pauli-Z stabilizer is supported. The support of the logical operators on the left and bottom boundaries are highlighted in blue and green, respectively.
