Asymmetry and tighter uncertainty relations for Rényi entropies via quantum-classical decompositions of resource measures
Michael J. W. Hall · Physical Review A · 2023
The author proposes a general method of constructing quantum--classical decompositions of resources such as uncertainty, with the quantum contribution specified by a measure of the noncommutativity of a given set of operators relative to the quantum state, and the classical contribution generated by the mixedness of the state. One result of this formalism is that entropic uncertainty relations, computed by employing the entropy instead of the variance as a measure of uncertainty about a measurement outcome, are stronger than previously known.