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-like relations of the relative entropy of coherence.Quantum Information Processing, 15(8):3459–3465, 2016
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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.