Quantification of quantum correlation of ensembles of states

, MichałHorodecki ; Sen(De), Aditi ; Sen, Ujjwal (2007) Quantification of quantum correlation of ensembles of states Physical Review A, 75 (6).

[img] PDF

Official URL: https://doi.org/10.1103%2Fphysreva.75.062329


We present first measure of quantum correlation of an ensemble of multiparty states. It is based on the idea of minimal entropy production in a locally distinguishable basis measurement. It is shown to be a relative entropy distance from a set of ensembles. For bipartite ensembles, which span the whole bipartite Hilbert space, the measure is bounded below by average relative entropy of entanglement. We naturally obtain a monotonicity axiom for any measure of quantum correlation of ensembles. We evaluate this measure for certain cases. Subsequently we use this measure to propose a complementarity relation between our measure and the accessible information obtainable about the ensemble under local operations. The measure along with the monotonicity axiom are well-defined even for the case of a single system, where the complementarity relation is seen to be yet another face of the "Heisenberg uncertainty relation".

Item Type:Article
Source:Copyright of this article belongs to arXiv License Information
ID Code:125913
Deposited On:13 Oct 2022 04:12
Last Modified:13 Oct 2022 04:12

Repository Staff Only: item control page