Semantic Analysis of a Linear Temporal Extension of Quantum Logic and Its Dynamic Aspect

Although various dynamic or temporal logics have been proposed to verify quantum protocols and systems, these two viewpoints not studied comprehensively enough. We propose Linear Temporal Quantum Logic (LTQL), a linear extension of logic with implication, extend it Dynamic (DLTQL). This has operators express transitions by unitary (quantum gates) ones those projections (projective measurement). then prove some logical properties the relationship between expressed LTQL DLTQL. A drawback in applying verification is that cannot future operator logic. way mitigate this using translation from (D)LTQL Modal (LTML) simulation. reduces satisfiability problem formulas LTML classical semantics over states.