As quantum computing steadily progresses from theory to practice, programmers are faced with a common problem: How can they be sure that their code does what they intend it to do? This paper presents encouraging results in the application of mechanized proof to the domain of quantum programming in the context of the SQIR development. It verifies the correctness of a range of a quantum algorithms including Simon's algorithm, Grover's algorithm and quantum phase estimation, a key component of Shor's algorithm. In doing so, it aims to highlight both the successes and challenges of formal verification in the quantum context and motivate the theorem proving community to target quantum computing as an application domain.

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@inproceedings{hietala21qproof,
  title = {Proving Quantum Programs Correct},
  booktitle = {Proceedings of the Conference on Interative Theorem Proving (ITP)},
  author = {Kesha Hietala and Robert Rand and Shih-Han Hung and Liyi Li and Michael Hicks},
  year = 2021,
  month = jun
}

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