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quant-ph2025
Complete Relational Logic for Infinite-Dimensional Quantum Programs with Unbounded Assertions
Gilles Barthe, Minbo Gao, Jam Kabeer Ali Khan +7
We present sound and complete relational program logics for infinite-dimensional quantum and classical-quantum programs. The logics model assertions as self-adjoint unbounded linea…
cs.PL2025
D-Hammer: Efficient Equational Reasoning for Labelled Dirac Notation
Yingte Xu, Li Zhou, Gilles Barthe
Labelled Dirac notation is a formalism commonly used by physicists to represent many-body quantum systems and by computer scientists to assert properties of quantum programs. It is…
cs.LO2025
Complete Quantum Relational Hoare Logics from Optimal Transport Duality
Gilles Barthe, Minbo Gao, Theo Wang +1
We introduce a quantitative relational Hoare logic for quantum programs. Assertions of the logic range over a new infinitary extension of positive semidefinite operators. We prove…