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Quantum Logic and Quantum Reconstruction [PDF]
Foundations of Physics, 2015 Quantum logic understood as a reconstruction program had real successes and genuine limitations. This paper offers a synopsis of both and suggests a way of seeing quantum logic in a larger, still thriving context.
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On the deep connection between hyperstructures and quantum logic [PDF]
, 2023 Our work aims at describing and investigate a deep connection between the well-known logical interpretation of quantum mechanics, introduced by Birkhoff and von Neumann (and developed by Piron and Jauch in the 70s) and a set of powerful mathematical ...
N. Cangiotti, A. Linzi
core
Entropy, 2017 A theory of cultural structures predicts the objects observed by anthropologists. We here define those which use kinship relationships to define systems.
Paul Ballonoff
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Sequent Calculi for Orthologic with Strict Implication
Bulletin of the Section of Logic, 2022 In this study, new sequent calculi for a minimal quantum logic (\(\bf MQL\)) are discussed that involve an implication. The sequent calculus \(\bf GO\) for \(\bf MQL\) was established by Nishimura, and it is complete with respect to ortho-models (O ...
Tomoaki Kawano
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Advanced Functional Materials, EarlyView.The physical realization of artificial neurons is a critical challenge for energy‐efficient neuromorphic computing. This review presents a comprehensive analysis of the evolution of artificial neuron implementations from conventional CMOS to emerging post‐CMOS technologies.
Kannan Udaya Mohanan +4 more
wiley +1 more source
Quantum-Inspired Uncertainty Quantification
Frontiers in Computer Science, 2022 Reasonable quantification of uncertainty is a major issue of cognitive infocommunications, and logic is a backbone for successful communication. Here, an axiomatic approach to quantum logic, which highlights similarity to and differences to classical ...
Günther Wirsching
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Physics‐Grounded Materials Artificial Intelligence for Reliable Materials Discovery
Advanced Functional Materials, EarlyView.Physics‐Grounded Materials AI (PhysMat AI) integrates physical priors, descriptors, constraints, verification, and data infrastructure into a unified full‐stack framework, enabling reliable, interpretable, and autonomous AI‐driven materials discovery.
Yuhang Wang +3 more
wiley +1 more source
, 2007 The philosophical debate about quantum logic between the late 1960s and the early 1980s was generated mainly by Putnam's claims that quantum mechanics empirically motivates introducing a new form of logic, that such an empirically founded quantum logic ...
Bacciagaluppi, Guido
core
Quantum Logic as Classical Logic
CoRR, 2014 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.
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Enlargements of quantum logics [PDF]
Pacific Journal of Mathematics, 1988 Let K be a quantum logic whose state space is nonvoid. Let B be a Boolean algebra and let C be a compact convex subset of a locally convex topological linear space. Then K can be embedded into a logic L such that the centre of L equals B and the state space of L equals C.
Navara, Mirko +2 more
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