© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:0706.0791 · Journal of Statistical Physics

A Volume Inequality for Quantum Fisher Information and the Uncertainty Principle

Paolo Gibilisco, Daniele Imparato, Tommaso Isola

Published Oct 30, 2007• 18 citations

DOI: 10.1007/s10955-007-9454-2

Related papers

Uncertainty principle and quantum Fisher information

Paolo Gibilisco, Tommaso Isola

arXiv:math-ph/0509046•Annals of the Institute of Statistical Mathematics•Dec 29, 2006•49 citations

A Robertson-type uncertainty principle and quantum Fisher information

Paolo Gibilisco, Daniele Imparato, Tommaso Isola

arXiv:0707.1231•Linear Algebra and its Applications•Dec 5, 2007•27 citations

Quantum Fisher Information and Uncertainty Relations

Shunlong Luo

Letters in Mathematical Physics•Aug 1, 2000•94 citations

On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information

Paolo Gibilisco, Tommaso Isola

Journal of Mathematical Analysis and Applications•Sep 18, 2010•34 citations

Inequalities for quantum Fisher information

GIBILISCO I, Tommaso Isola, Daniele Imparato

•Jan 1, 2009•0 citations

Quantum covariance, quantum Fisher information and the uncertainty principle

Paolo Gibilisco, Fumio Hiai, Dėnes Petz

In this paper the relation between quantum covariances and quantum Fisher informations are studied. This study is applied to generalize a recently proved uncertainty relation based on quantum Fisher information. The proof given hereconsiderably simplifies the previously proposed proofs and leads to more general inequalities.

arXiv:0712.1208•Dec 7, 2007•6 citations