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Topological and Subsystem Codes on Low-Degree Graphs with Flag Qubits

Topological and Subsystem Codes on Low-Degree Graphs with Flag Qubits

In this work we introduce two code families, which we call the heavy hexagon code and heavy square code. Both code families are implemented by assigning physical data and ancilla qubits to both vertices and edges of low degree graphs. Such a layout is particularly suitable for superconducting qubit architectures …