Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence

Details Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence

2009-02-27

arxiv.org/abs/0903.0019v2

Phys. Rev. A 80, 022331 (2009)

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.80.022331

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.

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