Fault-Tolerant Cut-Cat State Syndrome Extraction for Quantum Codes
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917420358172672 |
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| author | Forlivesi, Diego Valentini, Lorenzo Chiani, Marco |
| author_facet | Forlivesi, Diego Valentini, Lorenzo Chiani, Marco |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_17339 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fault-Tolerant Cut-Cat State Syndrome Extraction for Quantum Codes Forlivesi, Diego Valentini, Lorenzo Chiani, Marco Quantum Physics 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. |
| title | Fault-Tolerant Cut-Cat State Syndrome Extraction for Quantum Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.17339 |