Politecnico di Torino

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20022015

most citedFinding statistically significant communities in networks

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math-ph2007★ 1 cited

A Robertson-type Uncertainty Principle and Quantum Fisher Information

Paolo Gibilisco, Daniele Imparato, Tommaso Isola

Let $A_{1}, ..., A_{N}$ be complex selfadjoint matrices and let $ρ$ be a density matrix. The Robertson uncertainty principle $$ det (Cov_ρ(A_h,A_j)) \geq det (- \frac{i}{2} Tr (ρ[A_h,A_j…

math-ph2007★ 20 cited

A volume inequality for quantum Fisher information and the uncertainty principle

P. Gibilisco, D. Imparato, T. Isola

Let $A_{1}, ..., A_{N}$ be complex self-adjoint matrices and let $ρ$ be a density matrix. The Robertson uncertainty principle $$ det(Cov_ρ(A_h,A_j)) \geq det(- \frac{i}{2} Tr(ρ[A_h,A_j])…

math-ph2007★ 79 cited

Uncertainty Principle and Quantum Fisher Information - II

P. Gibilisco, D. Imparato, T. Isola

Heisenberg and Schr{ö}dinger uncertainty principles give lower bounds for the product of variances $V a r_{ρ} (A) \cdot V a r_{ρ} (B)$ , in a state $ρ$ , if the observables $A, B$ are not compat…