Quantum

Transversal syndrome extraction: A unifying construction for measuring the error syndromes of any stabilizer code

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 23/10/2026, 04:13:24 UTC.

Briefings

A new construction provides a unified framework for fault-tolerant syndrome extraction in stabilizer codes, offering a configurable trade-off between circuit depth and width. This approach generalizes existing protocols like Shor and Steane extraction by defining ancilla states for any transversal circuit, enabling flexible error correction strategies. The work is presented as a preprint on arXiv, indicating it is in early stages of peer review.

Key points

• The study introduces ancilla stabilizer states designed for a general transversal circuit to create fault-tolerant syndrome-extraction gadgets.
• The construction interpolates between Shor and Steane syndrome extraction protocols, allowing for a configurable trade-off between circuit depth and width.

Context

Fault-tolerant syndrome extraction is a critical component of stabilizer-code-based quantum error correction, where existing general protocols often suffer from high circuit costs. This work addresses that challenge by providing a unified construction applicable to any stabilizer code.

Limitations

The evidence is a preprint on arXiv, indicating it is not yet peer-reviewed. The study covers a general transversal circuit but does not specify which particular stabilizer codes are included in the analysis.

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