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Triple measurements uncertainty and the distinguishment between the separable and entangled states

Minyi Huang, Ray-Kuang Lee·December 20, 2025
Quantum Physics

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Abstract

Uncertainty and entanglement are both profound and key concepts in quantum theory. For three observables, the tightest uncertainty constants for both product and summation forms are revealed. In this work, we give an alternative proof for three observables, also with a physical interpretation of the uncertainty constants. Our results show that such constants are intimately connected with the distinguishment between separable and entangled states.

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