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Model-checking linear-time properties of quantum systems

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24 Scopus citations

Abstract

We define a formal framework for reasoning about linear-time properties of quantum systems in which quantum automata are employed in the modeling of systems and certain (closed) subspaces of state Hilbert spaces are used as the atomic propositions about the behavior of systems. We provide an algorithm for verifying invariants of quantum automata. Then, an automata-based model-checking technique is generalized for the verification of safety properties recognizable by reversible automata and ω?properties recognizable by reversible Büchi automata.

Original languageEnglish
Article number22
JournalACM Transactions on Computational Logic
Volume15
Issue number3
DOIs
StatePublished - Jul 8 2014

Keywords

  • Invariants
  • Liveness
  • Model-checking
  • Persistence properties
  • Quantum automata
  • Quantum engineering systems
  • Safety

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