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Is Quantum Logic a Logic
 Handbook of Quantum Logic and Quantum Structures, volume Quantum Logic
, 2008
"... Is a Quantum Logic a Logic? [1] in which they strengthen a previous negative ..."
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Is a Quantum Logic a Logic? [1] in which they strengthen a previous negative
or with the Quantum Logic.)
"... The main goal: to find not only solution to quantum paradoxes but to find what Quantum Mechanics is. Starting ideas: (i) Quantum Mechanics (QM) could be understood as the new applied probability theory (ii) The standard Classical probability theory of the Kolmogorov type cannot be used in the descri ..."
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The main goal: to find not only solution to quantum paradoxes but to find what Quantum Mechanics is. Starting ideas: (i) Quantum Mechanics (QM) could be understood as the new applied probability theory (ii) The standard Classical probability theory of the Kolmogorov type cannot be used
QUANTUM LOGIC AND QUANTUM COMPUTATION
, 812
"... This quantum logic of qubits (also called quantum computational logic [8, 18]) is a formalism of finite tensor products of twodimensional Hilbert spaces and will be ..."
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This quantum logic of qubits (also called quantum computational logic [8, 18]) is a formalism of finite tensor products of twodimensional Hilbert spaces and will be
Quantum Logic as Classical Logic∗
, 2014
"... We propose a semantic representation of the standard quantum logic QL within a classical, normal modal logic, and this via a latticeembedding 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 ..."
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We propose a semantic representation of the standard quantum logic QL within a classical, normal modal logic, and this via a latticeembedding 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
PROBABILISTIC FORCING IN QUANTUM LOGICS
"... Summary. It is shown that orthomodular lattice can be axiomatized as an ortholattice with a unique operation of identity (bi–implication) instead of the operation of implication and a corresponding algebraic unified quantum logic is formulated. A statistical YES–NO physical interpretation of the qua ..."
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Summary. It is shown that orthomodular lattice can be axiomatized as an ortholattice with a unique operation of identity (bi–implication) instead of the operation of implication and a corresponding algebraic unified quantum logic is formulated. A statistical YES–NO physical interpretation
OPERATIONAL QUANTUM LOGIC: AN OVERVIEW
, 2000
"... The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform presentation of what we call operational quantum logic, highlighting bo ..."
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Cited by 13 (5 self)
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The term quantum logic has different connotations for different people, having been considered as everything from a metaphysical attack on classical reasoning to an exercise in abstract algebra. Our aim here is to give a uniform presentation of what we call operational quantum logic, highlighting
Symmetry and topology in quantum logic
"... The primordial quantum logic, the projection lattice of a Hilbert space, carries a rich topological and covariant structure. We might reasonably wish to equip abstract quantum logics – orthomodular lattices and posets, orthoalgebras, etc. – with similar structure. Topological OMLs (TOMLs) have alrea ..."
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Cited by 7 (4 self)
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The primordial quantum logic, the projection lattice of a Hilbert space, carries a rich topological and covariant structure. We might reasonably wish to equip abstract quantum logics – orthomodular lattices and posets, orthoalgebras, etc. – with similar structure. Topological OMLs (TOMLs) have
Holonomic quantum logic gates
 quantphys/ 0202106 v1
"... This is a brief overview of quantum holonomies in the context of quantum computation. We choose an adequate set of quantum logic gates, namely, a phase gate, the Hadamard gate, and a conditionalphase gate and show how they can be implemented by purely geometric means. Such gates may be more resilie ..."
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Cited by 1 (0 self)
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This is a brief overview of quantum holonomies in the context of quantum computation. We choose an adequate set of quantum logic gates, namely, a phase gate, the Hadamard gate, and a conditionalphase gate and show how they can be implemented by purely geometric means. Such gates may be more
The dynamic turn in quantum logic
 SYNTHESE (2012) 186:753–773
, 2012
"... In this paper we show how ideas coming from two areas of research in logic can reinforce each other. The first such line of inquiry concerns the “dynamic turn” in logic and especially the formalisms inspired by Propositional Dynamic Logic (PDL); while the second line concerns research into the logi ..."
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into the logical foundations of Quantum Physics, and in particular the area known as Operational Quantum Logic, as developed by Jauch and Piron (Helve Phys Acta 42:842–848, 1969), Piron (Foundations of Quantum Physics, 1976). By bringing these areas together we explain the basic ingredients of Dynamic Quantum
Results 1  10
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