Quantum Fuzzy Sets Revisited: Density Matrices, Decoherence, and the Q-Matrix Framework
In 2006 we proposed Quantum Fuzzy Sets, observing that states of a quantum register could serve as characteristic functions of fuzzy subsets, embedding Zadeh's unit interval into the Bloch sphere. That paper was deliberately preliminary. In the two decades since, the idea has been taken up by researchers working on quantum annealers, intuitionistic fuzzy connectives, and quantum machine learning, while parallel developments in categorical quantum mechanics have reshaped the theoretical landscape. The present paper revisits that programme and introduces two main extensions. First, we move from pure states to density matrices, so that truth values occupy the entire Bloch ball rather than it...
| Authors | Mirco A. Mannucci |
|---|---|
| Primary category | quant-ph |
| Published | 22 March 2026 |
| Last updated at source | 22 March 2026 |
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