| CPC G06N 10/70 (2022.01) | 18 Claims |

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1. A decoder apparatus for decoding syndromes of a quantum error correction code, the syndromes of the quantum error correction code comprising measurement data from a quantum computer, the quantum computer comprising an array of qubits including syndrome qubits and data qubits, the decoder apparatus configured to:
receive syndrome index data representative of:
a physical location of each of the array of qubits within the quantum computer; and
lattice dimensions of the array of qubits;
receive the syndromes of the quantum error correction code from the quantum computer;
determine physical co-ordinate positions for each of the array of qubits based on the syndrome index data;
decode the syndromes of the quantum error correction code using the determined physical co-ordinate positions; and
wherein:
the decoder apparatus has a first syndrome capacity for decoding the syndromes of the quantum error correction code; and
the syndromes of the quantum error correction code occupy a second syndrome capacity less than or equal to the first syndrome capacity of the decoder apparatus.
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