most citedUncertainty Principle and Quantum Fisher Information - II

79 citations · 175 across the 5 of their papers we have counts for

collaborators

5 papers

stat.CO2010★ 73 cited

Zero Variance Markov Chain Monte Carlo for Bayesian Estimators

Antonietta Mira, Reza Solgi, Daniele Imparato

Interest is in evaluating, by Markov chain Monte Carlo (MCMC) simulation, the expected value of a function with respect to a, possibly unnormalized, probability distribution. A gen…

math-ph2007★ 1 cited

A Robertson-type Uncertainty Principle and Quantum Fisher Information

Paolo Gibilisco, Daniele Imparato, Tommaso Isola

Let be complex selfadjoint matrices and let 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 be complex self-adjoint matrices and let 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★ 2 cited

Inequalities for quantum Fisher information

Paolo Gibilisco, Daniele Imparato, Tommaso Isola

In 2003 Luo proved an inequality relating the Wigner-Yanase information and the -information. In this paper we prove that Luo's inequality is a particular case of a general in…

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 , in a state , if the observables are not compat…