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Quantum Relational Hoare Logic with Expectations

Authors Yangjia Li, Dominique Unruh

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Author Details

Yangjia Li
  • University of Tartu, Estonia
  • SKLCS, Institute of Software, CAS, Beijing, China
Dominique Unruh
  • University of Tartu, Estonia

Funding

By the Air Force Office of Scientific Research through the project "Verification of quantum cryptography" (AOARD Grant FA2386-17-1-4022). By the project "Research and preparation of an ERC grant application on Certified Quantum Security" (MOBERC12). By the ERC consolidator grant CerQuS (819317). By the PRG team grant "Secure Quantum Technology" (PRG946) from the Estonian Research Council.
  • Li, Yangjia: By the National Natural Science Foundation of China (Grant No: 61872342).
  • Unruh, Dominique: By institutional research funding IUT2-1 of the Estonian Ministry of Education and Research. By the Estonian Centre of Exellence in IT (EXCITE) funded by the ERDF.

Acknowledgements

We thank Gilles Barthe, Tore Vincent Carstens, and Justin Hsu for valuable discussions.

Cite As Get BibTex

Yangjia Li and Dominique Unruh. Quantum Relational Hoare Logic with Expectations. In 48th International Colloquium on Automata, Languages, and Programming (ICALP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 198, pp. 136:1-136:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.ICALP.2021.136

Abstract

We present a variant of the quantum relational Hoare logic from (Unruh, POPL 2019) that allows us to use "expectations" in pre- and postconditions. That is, when reasoning about pairs of programs, our logic allows us to quantitatively reason about how much certain pre-/postconditions are satisfied that refer to the relationship between the programs inputs/outputs.

Subject Classification

ACM Subject Classification
  • Theory of computation → Quantum computation theory
  • Theory of computation → Hoare logic
  • Theory of computation → Program verification
Keywords
  • Quantum cryptography
  • Hoare logics
  • formal verification

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References

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