On quantum circuit certification with the quantum programming language SQIR:
Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, Michael Hicks, A verified optimizer for Quantum circuits, Proceedings of the ACM on Programming Languages 5 Issue POPL 37 (2021) 1–29 [doi:10.1145/3434318]
Kesha Hietala, Robert Rand, Shih-Han Hung, Liyi Li, Michael Hicks, Proving Quantum Programs Correct, in 12th International Conference on Interactive Theorem Proving (ITP 2021), Leibniz International Proceedings in Informatics (LIPIcs) 193 (2021) [arXiv:2010.01240]
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