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arXiv · 2610.40803

A Basic Modal Logic for the Abstract Treatment of Quantum Mixed States

Tomoaki Kawano
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Abstract

Quantum logic has developed in various directions since its inception. However, many existing logical approaches either focus only on pure states, or use Hilbert-space models in which the abstract relationship between pure states, mixed states, and probabilities is not made explicit. In this work, we introduce a model designed to handle quantum mixed states abstractly. Furthermore, we construct a proof system for the proposed logic and establish its completeness with respect to the intended semantics.

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Tomoaki Kawano. 2026-10-29. A Basic Modal Logic for the Abstract Treatment of Quantum Mixed States. https://doi.org/10.4204/eptcs.455.4

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