Certain non-eigenstates of non-commuting observables A and B allow the uncertainty lower bound on ΔA ΔB to reach zero with zero correlation, and uncertainty relations bound |correlation| from above.
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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.
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On some states minimizing uncertainty relations: A new look at these relations
Certain non-eigenstates of non-commuting observables A and B allow the uncertainty lower bound on ΔA ΔB to reach zero with zero correlation, and uncertainty relations bound |correlation| from above.
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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.