Hoare Logic for Quantum Programs

Details Hoare Logic for Quantum Programs Hoare Logic for Quantum Programs

2009-06-25

arxiv.org/abs/0906.4586v1

Physics

Quantum Physics

50 pages

Scientific paper

Hoare logic is a foundation of axiomatic semantics of classical programs and it provides effective proof techniques for reasoning about correctness of classical programs. To offer similar techniques for quantum program verification and to build a logical foundation of programming methodology for quantum computers, we develop a full-fledged Hoare logic for both partial and total correctness of quantum programs. It is proved that this logic is (relatively) complete by exploiting the power of weakest preconditions and weakest liberal preconditions for quantum programs.

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