
The following results obtained within a project of finding algebra of states in a general purpose quantum computer are reported: 1. all operations of an orthomodular lattice, including the identity, are five-fold defined ; 2. there are non-orthomodular models for both quantum and classical logics ; 3. there is a 4-variable orthoarguesian lattice condition which contains all known orthoarguesian lattice conditions including 6- and 5-variable ones.
orthoarguesian lattice condition, quantum logic; orthomodular lattices; quantum computation; classical logic; Boolean algebra; orthoarguesian properties; models, quantum computation, classical logic, orthoarguesian properties, operations of an orthomodular lattice, orthomodular lattices, Boolean algebra, models, Quantum computation, quantum simulators, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), Quantum logic, quantum logic
orthoarguesian lattice condition, quantum logic; orthomodular lattices; quantum computation; classical logic; Boolean algebra; orthoarguesian properties; models, quantum computation, classical logic, orthoarguesian properties, operations of an orthomodular lattice, orthomodular lattices, Boolean algebra, models, Quantum computation, quantum simulators, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), Quantum logic, quantum logic
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