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arXiv · 1901.05184

Relational Proofs for Quantum Programs

Gilles Barthe·Justin Hsu·Mingsheng Ying·Nengkun Yu·Li Zhou
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Abstract

Relational verification of quantum programs has many potential applications in quantum and post-quantum security and other domains. We propose a relational program logic for quantum programs. The interpretation of our logic is based on a quantum analogue of probabilistic couplings. We use our logic to verify non-trivial relational properties of quantum programs, including uniformity for samples generated by the quantum Bernoulli factory, reliability of quantum teleportation against noise (bit and phase flip), security of quantum one-time pad and equivalence of quantum walks.

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Gilles Barthe, Justin Hsu, Mingsheng Ying, Nengkun Yu, Li Zhou. 2019-01-16. Relational Proofs for Quantum Programs. https://doi.org/10.1145/3371089

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