The authors provide a family of lower bounds on the product of variances of unitary operators, each at least as strong as the Gram-determinant bound of Bong et al., and tighter in many cases.
(37) By stacking columns of the matrix √ρ on top of one an- other, we have the pure state |√ρ⟩ on the 9-dimensional Hilbert space
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Strong unitary uncertainty relations
The authors provide a family of lower bounds on the product of variances of unitary operators, each at least as strong as the Gram-determinant bound of Bong et al., and tighter in many cases.