In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manip­ulation of propositions inspired by the structure of quantum theory.

Feb 4, 2002 · It is uncontroversial (though remarkable) that the formal apparatus of quantum mechanics reduces neatly to a generalization of classical probability in which the role played by a Boolean …

During its development, QL started to refer not only to a logic, but also to the multiple lines of research that attempted to understand QM from a logical perspective. This article provides a map of these …

Feb 2, 2025 · In quantum computing the quantum analog of classical logic gates are called quantum logic gates. Typically in the literature the term “quantum logic” is taken to refer very specifically to the …

Quantum logic is defined as a field that integrates methods from physics, mathematics, logic, and philosophy, evolving from early works by von Neumann and Birkhoff. It encompasses diverse …

Now we define the relations of logical implication (or entailment) that characterize classical logic and “quantum logic”. To make the two look as much alike as possible, we present the first definition (for …

Jul 20, 2024 · Quantum Logic, derived from quantum mechanics, challenges traditional logic with superposition and entanglement. It redefines computing, cryptography, and philosophical paradigms. …

Quantum logic addresses some of the perplexing problems that plague interpretations of quantum theory by invoking a non-classical propositional calculus for the set of propositions of a quantum …

There are several approaches to quantum logic, and it should be therefore more appropriately called `Quantum Logics'. The following is a short list of such approaches to quantum logics. A standard …

Deeper Problem: Unlike physical geometry, it is hard to understand what could be meant by the claim that quantum logic is true to the exclusion of classical logic.