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Verification Logics for Quantum Programs
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We survey the landscape of Hoare logics for quantum programs. We review three papers: "Reasoning about imperative quantum programs" by Chadha, Mateus and Sernadas; "A logic for formal verification of quantum programs" by Yoshihiko Kakutani; and "Floyd-hoare logic for quantum programs" by Mingsheng Ying. We compare the mathematical foundations of the logics, their underlying languages, and the expressivity of their assertions. We also use the languages to verify the Deutsch-Jozsa Algorithm, and discuss their relative usability in practice.
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Noise-aware Verification and Synthesis of Quantum Programs
A noise-aware quantum Hoare logic and an automated synthesis method produce hardware-specific optimal quantum subroutines, showing that classical probabilistic branching can be necessary for optimality.
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