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quant-ph2026
Quantum Fuzzy Sets Revisited: Density Matrices, Decoherence, and the Q-Matrix Framework
Mirco A. Mannucci
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 t…
quant-ph2025
Weak Values as Geometric Lenses: Deformations of Hilbert Space and the Emergence of superoscillations
Mirco A. Mannucci
The formalism of weak measurement in quantum mechanics has revealed profound connections between measurement theory, quantum foundations, and signal processing. In this paper, we d…
quant-ph2025
When the Weak Becomes Strong: Effective Observables via Time-Symmetric Quantum Selection
Mirco A. Mannucci
We investigate the sequential composition of weak values in the framework of time-symmetric quantum mechanics. Specifically, we consider a forward'' weak measurement from a presele…