A new uncertainty relation supplements the Robertson-Schrödinger lower bound with a noncommutativity-induced positive term given by the expectation value of the squared commutator modulus, becoming equality for qubits.
Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices
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Beyond Robertson-Schr\"odinger: A General Uncertainty Relation Unveiling Hidden Noncommutative Trade-offs
A new uncertainty relation supplements the Robertson-Schrödinger lower bound with a noncommutativity-induced positive term given by the expectation value of the squared commutator modulus, becoming equality for qubits.