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q-Deformed three-level quantum logic

Quantum Information Processing, 2020
Three-level information plays an important role in the quantum domain. However, q-deformed three-level quantum logic is missing. Here, we address this problem and following Schwinger representation and using q-deformed harmonic oscillators, we construct ...
Azmi Ali Altintas, Fatih Ozaydin, Altintas Azmi Ali   +2 more
exaly   +2 more sources

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Systems of Quantum Logic

Studia Logica, 2012
The paper follows the study of lattice-valued logic LL and quantum logic QL, as introduced in [\textit{S. Titani}, Arch. Math. Logic 38, No. 6, 395--421 (1999; Zbl 0936.03048); in: Handbook of quantum logic and quantum structures. Quantum logic. Amsterdam: Elsevier/North-Holland. 661--702 (2009; Zbl 1273.03151)].
Satoko Titani, Heiji Kodera, Hiroshi Aoyama   +2 more
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The’ Logic of’ Quantum Logic

PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association, 1974
One can and often does use the word ‘logic’ in a variety of metaphorical ways, speaking of “the logic of the situation”, “the logic of events”, “the logic of history”, and so on. No harm is done, so long as one realizes that these usages are metaphorical, and should not be given any deeper significance – at least without extensive discussion of the ...
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On Quantum Logic

Foundations of Physics, 1984
The status and justification of quantum logic are reviewed. On the basis of several independent arguments it is concluded that it cannot be a logic in the philosophical sense of a general theory concerning the structure of valid inferences. Taken as a calculus for combining quantum-mechanical propositions, it leaves a number of significant aspects of ...
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The modal logic of quantum logic

Journal of Philosophical Logic, 1979
Modal logic is concerned with the concepts of necessity and possibility and a certain class of object propositions. In this paper we develop the basic concepts of a modal logic which is related to propositions about quantum physical objects. Since the object logic of quantum mechanical propositions is given by the calculi of quantum logic, the ...
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Extended Quantum Logic

Journal of Philosophical Logic, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Covariance and Quantum Logic

International Journal of Theoretical Physics, 2007
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Tran, Quan, Wilce, Alexander
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Completeness of quantum logic

Journal of Philosophical Logic, 1976
This paper is based on a semantic foundation of quantum logic which makes use of dialog-games. In the first part of the paper the dialogic method is introduced and under the conditions of quantum mechanical measurements the rules of a dialog-game about quantum mechanical propositions are established.
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On the structure of quantum logic

Journal of Symbolic Logic, 1969
In the axiomatic development of the logic of nonrelativistic quantum mechanics it is not difficult to set down certain plausible axioms which ensure that the quantum logic of propositions has the structure of an orthomodular poset. This can be done in a number of ways, for example,
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The Logic of Quantum Measurements

International Journal of Theoretical Physics, 2013
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Vanni, Leonardo, Laura, Roberto
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