Quantum Physics
arXiv:2211.06411 (quant-ph)
[Submitted on 11 Nov 2022 (v1), last revised 8 Jul 2024 (this version, v5)]
Title:Qafny: A Quantum-Program Verifier
View a PDF of the paper titled Qafny: A Quantum-Program Verifier, by Liyi Li and 6 other authors
View PDFAbstract:Because of the probabilistic/nondeterministic behavior of quantum programs, it is highly advisable to verify them formally to ensure that they correctly implement their specifications. Formal verification, however, also traditionally requires significant effort. To address this challenge, we present Qafny, an automated proof system based on the program verifier Dafny and designed for verifying quantum programs. At its core, Qafny uses a type-guided quantum proof system that translates quantum operations to classical array operations modeled within a classical separation logic framework. We prove the soundness and completeness of our proof system and implement a prototype compiler that transforms Qafny programs and specifications into Dafny for automated verification purposes. We then illustrate the utility of Qafny's automated capabilities in efficiently verifying important quantum algorithms, including quantum-walk algorithms, Grover's algorithm, and Shor's algorithm.
| Comments: | Version 5 |
| Subjects: | Quantum Physics (quant-ph); Programming Languages (cs.PL) |
| Cite as: | arXiv:2211.06411 [quant-ph] |
| (orarXiv:2211.06411v5 [quant-ph] for this version) | |
| https://doi.org/10.48550/arXiv.2211.06411 arXiv-issued DOI via DataCite | |
| Journal reference: | ECOOP 2024 |
Submission history
From: Liyi Li [view email][v1] Fri, 11 Nov 2022 18:50:52 UTC (342 KB)
[v2] Wed, 12 Jul 2023 13:47:59 UTC (1,201 KB)
[v3] Mon, 23 Oct 2023 04:49:20 UTC (1,409 KB)
[v4] Sat, 20 Jan 2024 00:23:29 UTC (711 KB)
[v5] Mon, 8 Jul 2024 16:28:26 UTC (330 KB)
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View a PDF of the paper titled Qafny: A Quantum-Program Verifier, by Liyi Li and 6 other authors
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