Quantum Hoare Logic

Junyi Liu, Bohua Zhan, Shuling Wang, Shenggang Ying, Tao Liu, Yangjia Li, Mingsheng Ying and Naijun Zhan

24 March 2019

Abstract

We formalize quantum Hoare logic as given in [1]. In particular, we specify the syntax and denotational semantics of a simple model of quantum programs. Then, we write down the rules of quantum Hoare logic for partial correctness, and show the soundness and completeness of the resulting proof system. As an application, we verify the correctness of Grover’s algorithm.
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@article{QHLProver-AFP,
  author  = {Junyi Liu, Bohua Zhan, Shuling Wang, Shenggang Ying, Tao Liu, Yangjia Li, Mingsheng Ying and Naijun Zhan},
  title   = {Quantum Hoare Logic},
  journal = {Archive of Formal Proofs},
  month   = March,
  year    = 2019,
  note    = {\url{http://isa-afp.org/entries/QHLProver.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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