The One-Way Information Deficit and Geometry for a Class of Two-qubit States

TL;DR

This paper analytically evaluates the one-way information deficit for specific two-qubit states, explores its geometric interpretation, and examines its robustness against decoherence compared to entanglement.

Contribution

It provides an analytical evaluation of OWID for Bell-diagonal and certain two-qubit states, along with a geometric perspective and decoherence dynamics analysis.

Findings

OWID is more robust against decoherence than entanglement for some states.

Analytical expressions for OWID are derived for Bell-diagonal and specific two-qubit states.

Geometric interpretation of OWID offers new insights into quantum correlations.

Abstract

The work deficit, as introduced by Jonathan Oppenheim \emph{et al}[Phys. Rev. Lett. \textbf{89}, 180402 (2002)] is a good measure of the quantum correlations in a state and provides a new standpoint for understanding quantum non-locality. In this paper, we analytically evaluate the one-way information deficit (OWID) for the Bell-diagonal states and a class of two-qubit states and further give the geometry picture for OWID. The dynamic behavior of the OWID under decoherence channel is investigated and it is shown that the OWID of some classes of $X$ states is more robust against the decoherence than the entanglement.