| Abstract: |
Quantum error correction (QEC) is fundamental for suppressing noise in quantum hardware and enabling fault-tolerant quantum computation. In this paper, we propose an efficient verification framework for QEC programs. We define an assertion logic and a program logic specifically crafted for QEC programs and establish a sound proof system. We then develop an efficient method for handling verification conditions (VCs) of QEC programs: for Pauli errors, the VCs are reduced to classical assertions that can be solved by SMT solvers,and for non-Pauli errors, we provide a heuristic algorithm. We formalize the proposed program logic in Coqproof assistant, making it a verified QEC verifier. Additionally, we implement an automated QEC verifier,Veri-QEC, for verifying various fault-tolerant scenarios. We demonstrate the efficiency and broad functionalityof the framework by performing different verification tasks across various scenarios. Finally, we present abenchmark of 14 verified stabilizer codes. |
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