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We develop a most likely error Pauli error decoding algorithm for stabilisercodes based on general purpose integer optimisation. Using this decoder weanalyse the performance of holographic codes against Pauli errors and findnumerical evidence for thresholds against Pauli errors for bulk qubits. Wecompare the performance of holographic code families of various code rates andfind phenomenological Pauli error thresholds ranging from $7\%$ to $16\%$,depending on the code rate. Additionally we give numerical evidence thatspecific distance measures of the codes we consider scales polynomially withnumber of physical qubits.

Decoding Holographic Codes with an Integer Optimisation Decoder