منابع مشابه
Quantum logic as a dynamic logic
We address the old question whether a logical understanding of QuantumMechanics requires abandoning some of the principles of classical logic. Against Putnam and others (Among whom we may count or not E. W. Beth, depending on how we interpret some of his statements), our answer is a clear “no”. Philosophically, our argument is based on combining a formal semantic approach, in the spirit of E. W...
متن کاملQuantum Logic as Classical Logic
We propose a semantic representation of the standard quantum logic QL within a classical, normal modal logic, and this via a lattice-embedding of orthomodular lattices into Boolean algebras with one modal operator. Thus our classical logic is a completion of the quantum logic QL. In other words, we refute Birkhoff and von Neumann’s classic thesis that the logic (the formal character) of Quantum...
متن کاملDynamic Quantum Logic for Quantum Programs
We present a way to apply quantum logic to the study of quantum programs. This is made possible by using an extension of the usual propositional language in order to make transformations performed on the system appear explicitly. This way, the evolution of the system becomes part of the logical study. We show how both unitary operations and two-valued measurements can be included in this formal...
متن کاملQuantum logic as a sum over classical logic gates
It is shown that certain natural quantum logic gates, i.e. unitary time evolution matrices for spin2 quantum spins, can be represented as sums, with appropriate phases, over classical logic gates, in a direct analogy with the Feynman path integral representation of quantum mechanics. On the other hand, it is shown that a natural quantum gate obtained by analytically continuing the transfer matr...
متن کاملIs Quantum Logic a Logic?
Thirty-seven years ago, Richard Greechie and Stanley Gudder wrote a paper entitled Is a Quantum Logic a Logic? [Greechie and Gudder, 1971] in which they strengthen a previous negative result of Josef Jauch and Constantin Piron. [Jauch and Piron, 1970] “Jauch and Piron have considered a possibility that a quantum propositional system is an infinite valued logic. . . and shown that standard propo...
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ژورنال
عنوان ژورنال: Synthese
سال: 2010
ISSN: 0039-7857,1573-0964
DOI: 10.1007/s11229-010-9783-6