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 information
2007
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
Con Impact Factor ISI
monotone metrics; skew information; state-space; operators
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].
Gibilisco, P; Imparato, D; Isola, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/43232
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