2 papers
quant-ph2026
Optimal Uncertainty Relations for a Single Observable
Haruki Yamashita, Aina Mayumi, Gen Kimura
Uncertainty relations are conventionally formulated as trade-off relations between two or more observables. Here we introduce a complementary viewpoint: even a single observable ca…
quant-ph2025
Tight Generalization of Robertson-Type Uncertainty Relations
Gen Kimura, Aina Mayumi, Haruki Yamashita
We establish the tightest possible Robertson-type preparation uncertainty relation, which explicitly depends on the eigenvalues of the quantum state. The conventional constant $ \t…