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quant-ph2026
Beyond Robertson-Schrödinger: A General Uncertainty Relation Unveiling Hidden Noncommutative Trade-offs
Gen Kimura, Aina Mayumi, Hiromichi Ohno +2
We report a universal improvement to the standard Robertson--Schrödinger uncertainty relation. Our result shows that the Robertson--Schrödinger lower bound can be supplemented by…
quant-ph2024
Uncertainty relations based on state-dependent norm of commutator
Aina Mayumi, Gen Kimura, Hiromichi Ohno +1
We introduce two uncertainty relations based on the state-dependent norm of commutators, utilizing generalizations of the Böttcher-Wenzel inequality. The first relation is mathema…