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.
How big can the commutator of two matrices be and how big is it typically?Linear Algebra and its Applications, 403:216–228
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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.