Uncertainty relations with the variance and the quantum Fisher information based on convex decompositions of density matrices

We present several inequalities related to the Robertson-Schrödinger uncertainty relation. In all these inequalities, we consider a decomposition of the density matrix into a mixture of states, and use the fact that the Robertson-Schrödinger uncertainty relation is valid for all these components. By...

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Bibliographic Details
Main Authors: Géza Tóth, Florian Fröwis
Format: Article
Language:English
Published: American Physical Society 2022-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013075