Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence

Abstract

Exploring an analytical expression for the convex roof of the pure state squared concurrence for rank 2 mixed states the entanglement of a system of three particles under decoherence is studied, using the monogamy inequality for mixed states and the residual entanglement obtained from it. The monogamy inequality is investigated both for the concurrence and the negativity in the case of local independent phase damping channel acting on generalized GHZ states of three particles and the local independent amplitude damping channel acting on generalized W state of three particles. It is shown that the bipartite entanglement between one qubit and the rest has a qualitative similar behavior to the entanglement between individual qubits, and that the residual entanglement in terms of the negativity cannot be a good entanglement measure for mixed states, since it can increase under local decoherence.

arXiv commentPublished version. Small changes in the text and conclusion improved after referee comments

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Cited by in corpus (6)

• Monogamy of quantum correlations in three qubit pure states using Rajagopal-Rendell (RR) quantum deficit
• Why the Entanglement of Formation is not generally monogamic
• Multipartite Quantum Correlations in Open Quantum Systems
• What does monogamy in higher powers of a correlation measure mean?
• Disappearance of entanglement: a topological point of view
• Monogamous nature of symmetric multiqubt states with distinct spinors