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

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.

10 pages, 5 figures

References in corpus (11)

• Necessary and sufficient condition for non-zero quantum discord
• Quantum Open System Theory: Bipartite Aspects
• Classical and quantum correlations under decoherence
• No-local-broadcasting theorem for quantum correlations
• Linking Quantum Discord to Entanglement in a Measurement
• Quantum discord and geometry for a class of two-qubit states
• Quantum discord bounds the amount of distributed entanglement
• Quantum cost for sending entanglement
• Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
• Experimentally Witnessing the Quantumness of Correlations
• Geometric interpretation of the geometric discord

Cited by in corpus (8)

• Quantum discord and its allies: a review
• Super-quantum correlation and geometry for Bell-diagonal states with weak measurements
• One-way Quantum Deficit and Decoherence for Two-qubit $X$ States
• Geometry of skew information-based quantum coherence
• One-Way Deficit of Two Qubit X States
• Comment on "One-way deficit of two qubit X states"
• One-way deficit of SU(2) invariant states
• One-Way Deficit and Holevo Quantity of Generalized $n$-qubit Werner State