Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence
arXiv:0903.0019 · doi:10.1103/PhysRevA.80.022331
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.
Published version. Small changes in the text and conclusion improved after referee comments
References in corpus (17)
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Scaling laws for the decay of multiqubit entanglement
- Entangled three-qubit states without concurrence and three-tangle
- Multiparticle entanglement under the influence of decoherence
- Concurrence and a proper monogamy inequality for arbitrary quantum states
- Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
- Operational Classification and Quantification of Multipartite Entangled States
- Multipartite quantum correlation and entanglement in four-qubit pure states
- Disentanglement and decoherence in two-spin and three-spin systems under dephasing
- Multipartite Entanglement Measure
- Robustness of multi-qubit entanglement in the independent decoherence model
- Global Entanglement for Multipartite Quantum States
- Dynamics of Global Entanglement under Decoherence
- Information-Theoretic Measure of Genuine Multi-Qubit Entanglement