Generalized Schrödinger-Robertson uncertainty relations for multiple non-commuting observables are equivalently expressed using quantum Pearson correlation coefficients, with analysis of their consequences for observable correlations.
Hedemann, Multi–Operator Quantum Uncertainty Relations from New Cauchy–Schwarz Inequalities , arXiv:2506.02036v1 [quant-ph] 31 May 2025
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Notes on some inequalities, resulting uncertainty relations and correlations. 1. General mathematical formalism
Generalized Schrödinger-Robertson uncertainty relations for multiple non-commuting observables are equivalently expressed using quantum Pearson correlation coefficients, with analysis of their consequences for observable correlations.