We derive a variant of quantum Hoare logic (QHL), called applied quantum Hoare logic (aQHL for short), by: 1. restricting QHL to a special class of preconditions and postconditions, namely projections, which can significantly simplify verification of quantum programs and are much more convenient when used in debugging and testing; and 2. adding several rules for reasoning about robustness of quantum programs, i.e. error bounds of outputs. The effectiveness of aQHL is shown by its applications to verify two sophisticated quantum algorithms: HHL (Harrow-Hassidim-Lloyd) for solving systems of linear equations and qPCA (quantum Principal Component Analysis).
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Sandeep DasguptaUniversity of Illinois at Urbana-Champaign, USA, Daejun ParkUniversity of Illinois at Urbana-Champaign, Theodoros KasampalisUniversity of Illinois at Urbana-Champaign, USA, Vikram S. AdveUniversity of Illinois at Urbana-Champaign, Grigore RosuUniversity of Illinois at Urbana-ChampaignLink to publication DOI Pre-print Media Attached
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Li ZhouDepartment of Computer Science and Technology, Tsinghua University, Nengkun YuUniversity of Technology Sydney, Australia, Mingsheng YingUniversity of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China/ Department of Computer Science and Technology, Tsinghua University.Media Attached