Fault-Tolerant Cut-Cat State Syndrome Extraction for Quantum Codes

• URL: http://arxiv.org/abs/2604.17339v1
• Date: Sun, 19 Apr 2026 09:22:14 GMT
• Title: Fault-Tolerant Cut-Cat State Syndrome Extraction for Quantum Codes
• Abstract summary: We present a novel fault-tolerant syndrome extraction technique for CSS codes.<n>While each ancilla qubit interacts non-fault-tolerantly with a pair of data qubits, we introduce additional cat stabilizer measurements.<n>Compared to flag-based state-of-the-art protocols, the cut-cat scheme offers a notable advantage in terms of two-qubit gate count.
• Score: 10.119151462781442
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Reliable quantum computation requires fault-tolerant protocols to prevent errors from propagating during syndrome extraction in quantum error correction. We present a novel fault-tolerant syndrome extraction technique for CSS codes, which we refer to as the cut-cat state scheme. While each ancilla qubit interacts non-fault-tolerantly with a pair of data qubits, we introduce additional cat stabilizer measurements to identify and correct the resulting hook errors. Our approach maintains the key benefit of cat-based extraction, i.e., parallelized data qubit interactions, while reducing the number of simultaneous qubits required by more than half. Compared to flag-based state-of-the-art protocols, the cut-cat scheme offers a notable advantage in terms of two-qubit gate count as the code distance increases.

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