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GeneCS: Synthesizing Resource-Efficient Code Surgery for Arbitrary Quantum Stabilizer Codes

Year: 2026
Type: preprint
Abstract: Efficiently realizing logical operations on general stabilizer codes remains a long-standing challenge in fault tolerant quantum computing. While code surgery provides a general framework with provable guarantees by joint logical measurements, existing constructions are largely theoretical and incur substantial ancilla overhead in practice. In this work, we propose GeneCS, a resource-efficient compiler for synthesizing code surgery protocols for arbitrary stabilizer codes. Our approach leverages structure-aware optimizations to eliminate redundancy in graph construction, dynamically balance expansion and congestion, and incorporate code degree constraints. Experimental results show that GeneCS achieves an average reduction of over $85\%$ in ancillary qubits and checks for both single-code and cross-code logical operations, while preserving logical error rates. Moreover, our compiler scales to codes with more than $10^4$ qubits with an amortized compilation time of about one second per instance. These results enable practical logical operations and efficient cross-code communication, thereby supporting the deployment of modern QLDPC codes and heterogeneous quantum architectures.
DOI: 10.48550/arxiv.2605.21746
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, Cisco Systems, Office of Science, Advanced Research Projects Agency, Advanced Scientific Computing Research
Awards: G121915436, G1645119126, G2411683797, G2988778103, G3945850812, G4370606643, G6671297155, CAREER: Efficient and Effective Quantum Program Optimization in the High-Dimensional Space, G8269158468, G8906985441
OpenAlex ID: W7162113107
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