Quantum logic refers either to
any formal framework which is supposed to be able to express the statements whose semantics is the totality of all what is verifiable by measurement in a quantum system;
the quantum logic of von Neumann in which the propositions are given by projections to closed subspaces of a Hilbert space;
the engineering units of quantum computing (analogue of logical gates in the usual computing).
It is based on the setting the Hilbert lattice (of closed suspaces of a Hilbert space) to represent the set of propositions of quantum system.
See at Bohr topos for more.
Stanford encyclopaedia of philosophy: quantum logic and probability theory, quantum mechanics (abbrev. qm), qm: Kochen-Specker theorem, qm: von Neumann vs. Dirac, qm: Bohmian mechanics, qm:colapse theories, Copenhagen interpretation of qm, many-world interpretation of qm, modal-interpretations of qm, Everett’s relative-state formulation of qm
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