Quantum Hoare Logic

 

Title: Quantum Hoare Logic
Authors: Junyi Liu, Bohua Zhan, Shuling Wang, Shenggang Ying, Tao Liu, Yangjia Li, Mingsheng Ying and Naijun Zhan
Submission date: 2019-03-24
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.
BibTeX:
@article{QHLProver-AFP,
  author  = {Junyi Liu and Bohua Zhan and Shuling Wang and Shenggang Ying and Tao Liu and Yangjia Li and Mingsheng Ying and Naijun Zhan},
  title   = {Quantum Hoare Logic},
  journal = {Archive of Formal Proofs},
  month   = mar,
  year    = 2019,
  note    = {\url{http://isa-afp.org/entries/QHLProver.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Deep_Learning, Jordan_Normal_Form