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arXiv · 2608.06187

Error-detected surgery on Iceberg codes

Andrea Di Fini·Samuel Crew·Laura Pecorari·Guido Pupillo
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Abstract

We construct explicit error-detecting surgery gadgets---small systems of auxiliary qubits and checks---for the high-rate Iceberg codes $[[2N,2N-2,2]]$, to perform fault-detected measurements of logical Pauli products. The construction follows the perspective of surgery as the gauging of a logical operator, regarded as a symmetry of the code. We give a complete classification of logical Pauli operators under the permutation automorphism group of the Iceberg code, reducing the construction to one gadget per orbit, and we verify with circuit-level simulations that the gadgets are fault-detecting, with the expected post-selected logical error rate. The gadgets require reconfigurable long-range connectivity, available on platforms such as neutral-atom arrays, making an error-detected demonstration of Pauli-based computation a natural near-term experiment. The paper doubles as a self-contained introduction to gauging and code surgery, developed alongside a simple worked example.

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Andrea Di Fini, Samuel Crew, Laura Pecorari, Guido Pupillo. 2026-08-06. Error-detected surgery on Iceberg codes. https://arxiv.org/abs/2608.06187

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