  [0.00]{} ![Examples of a single fault leading to diagonal edges in $G_{\text{0D}}$. Dark arrows represent the CNOT sequence. (a) An $X$ error occurs during the third time step in the CNOT gate acting on the central data qubit. (b) During the fifth time step of this round, the $X$ error is detected by the $Z$ type measurement qubit to the top right. (c) The $X$ error is not detected by the bottom left $Z$ type stabilizer until the following round. (d) An $XX$ error occurs on the third CNOT of an $X$ measurement circuit, which is detected by the $Z$ measurement to the right. (e) Detection by the left $Z$ stabilizer does not occur until the next round. (f) The corresponding edges in $G_{\text{0D}}$, green for (a-c), and blue for (d-e). Here we show two rounds of the graph ignoring boundary edges.[]{data-label="fig:LowerRightAndLowerLeft"}](DiagonalEdge0.png "fig:"){width="\textwidth"}  [0.00]{} ![Examples of a single fault leading to diagonal edges in $G_{\text{0D}}$. Dark arrows represent the CNOT sequence. (a) An $X$ error occurs during the third time step in the CNOT gate acting on the central data qubit. (b) During the fifth time step of this round, the $X$ error is detected by the $Z$ type measurement qubit to the top right. (c) The $X$ error is not detected by the bottom left $Z$ type stabilizer until the following round. (d) An $XX$ error occurs on the third CNOT of an $X$ measurement circuit, which is detected by the $Z$ measurement to the right. (e) Detection by the left $Z$ stabilizer does not occur until the next round. (f) The corresponding edges in $G_{\text{0D}}$, green for (a-c), and blue for (d-e). Here we show two rounds of the graph ignoring boundary edges.[]{data-label="fig:LowerRightAndLowerLeft"}](DiagonalEdge0.png "fig:"){width="\textwidth"}  [0.00]{} ![Examples of a single fault leading to diagonal edges in $G_{\text{0D}}$. Dark arrows represent the CNOT sequence. (a) An $X$ error occurs during the third time step in the CNOT gate acting on the central data qubit. (b) During the fifth time step of this round, the $X$ error is detected by the $Z$ type measurement qubit to the top right. (c) The $X$ error is not detected by the bottom left $Z$ type stabilizer until the following round. (d) An $XX$ error occurs on the third CNOT of an $X$ measurement circuit, which is detected by the $Z$ measurement to the right. (e) Detection by the left $Z$ stabilizer does not occur until the next round. (f) The corresponding edges in $G_{\text{0D}}$, green for (a-c), and blue for (d-e). Here we show two rounds of the graph ignoring boundary edges.[]{data-label="fig:LowerRightAndLowerLeft"}](DiagonalEdge0.png "fig:"){width="\textwidth"}  [0.00]{} ![Examples of a single fault leading to diagonal edges in $G_{\text{0D}}$. Dark arrows represent the CNOT sequence. (a) An $X$ error occurs during the third time step in the CNOT gate acting on the central data qubit. (b) During the fifth time step of this round, the $X$ error is detected by the $Z$ type measurement qubit to the top right. (c) The $X$ error is not detected by the bottom left $Z$ type stabilizer until the following round. (d) An $XX$ error occurs on the third CNOT of an $X$ measurement circuit, which is detected by the $Z$ measurement to the right. (e) Detection by the left $Z$ stabilizer does not occur until the next round. (f) The corresponding edges in $G_{\text{0D}}$, green for (a-c), and blue for (d-e). Here we show two rounds of the graph ignoring boundary edges.[]{data-label="fig:LowerRightAndLowerLeft"}](DiagonalEdge0.png "fig:"){width="\textwidth"}  [0.00]{} ![Examples of a single fault leading to diagonal edges in $G_{\text{0D}}$. Dark arrows represent the CNOT sequence. (a) An $X$ error occurs during the third time step in the CNOT gate acting on the central data qubit. (b) During the fifth time step of this round, the $X$ error is detected by the $Z$ type measurement qubit to the top right. (c) The $X$ error is not detected by the bottom left $Z$ type stabilizer until the following round. (d) An $XX$ error occurs on the third CNOT of an $X$ measurement circuit, which is detected by the $Z$ measurement to the right. (e) Detection by the left $Z$ stabilizer does not occur until the next round. (f) The corresponding edges in $G_{\text{0D}}$, green for (a-c), and blue for (d-e). Here we show two rounds of the graph ignoring boundary edges.[]{data-label="fig:LowerRightAndLowerLeft"}](DiagonalEdge0.png "fig:"){width="\textwidth"}  [0.00]{} ![Examples of a single fault leading to diagonal edges in $G_{\text{0D}}$. Dark arrows represent the CNOT sequence. (a) An $X$ error occurs during the third time step in the CNOT gate acting on the central data qubit. (b) During the fifth time step of this round, the $X$ error is detected by the $Z$ type measurement qubit to the top right. (c) The $X$ error is not detected by the bottom left $Z$ type stabilizer until the following round. (d) An $XX$ error occurs on the third CNOT of an $X$ measurement circuit, which is detected by the $Z$ measurement to the right. (e) Detection by the left $Z$ stabilizer does not occur until the next round. (f) The corresponding edges in $G_{\text{0D}}$, green for (a-c), and blue for (d-e). Here we show two rounds of the graph ignoring boundary edges.[]{data-label="fig:LowerRightAndLowerLeft"}](DiagonalEdge0.png "fig:"){width="\textwidth"}  