Heisenberg and Schrodinger uncertainty principles give lower bounds for the product of variances Var(rho)(A)Var(rho)(B) if the observables A,B are not compatible, namely, if the commutator [A,B] is not zero. In this paper, we prove an uncertainty principle in Schrodinger form where the bound for the product of variances Var(rho)(A)Var(rho)(B) depends on the area spanned by the commutators i[rho,A] and i[rho,B] with respect to an arbitrary quantum version of the Fisher information
Gibilisco, P., Imparato, D., Isola, T. (2007). Uncertainty principle and quantum fisher information. 2. JOURNAL OF MATHEMATICAL PHYSICS, 48(7), 072109 [10.1063/1.2748210].
Uncertainty principle and quantum fisher information. 2.
GIBILISCO, PAOLO;ISOLA, TOMMASO
2007-01-01
Abstract
Heisenberg and Schrodinger uncertainty principles give lower bounds for the product of variances Var(rho)(A)Var(rho)(B) if the observables A,B are not compatible, namely, if the commutator [A,B] is not zero. In this paper, we prove an uncertainty principle in Schrodinger form where the bound for the product of variances Var(rho)(A)Var(rho)(B) depends on the area spanned by the commutators i[rho,A] and i[rho,B] with respect to an arbitrary quantum version of the Fisher informationFile | Dimensione | Formato | |
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