Genuine entanglement under squeezed generalized amplitude damping channels with memory

Abstract

We study genuine entanglement among $3$-qubits undergoing through a noisy process including dissipation, squeezing and decoherence. We obtain a general solution and analyze the asymptotic quantum states. It turns out that most of these asymptotic states can be genuinely entangled depending upon parameters of channel, memory parameter, and parameters of initial states. We study Greenberger-Horne-Zeilinger (GHZ) states and W states, mixed with white noise and determine the conditions for them to be genuinely entangled at infinity. We find that for these mixtures, it is possible to start with bi-separable state (with specific mixture of white noise as described below) and end up with genuine entangled states. However, the memory parameter $\mu$ must be very high. We find that in contrast to two-qubit case, all three qubit asymptotic states for $n\to \infty$ are not genuinely entangled.

14 pages, 4 figures

References in corpus (18)

• Entanglement detection
• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Entanglement Certification $-$ From Theory to Experiment
• Taming multiparticle entanglement
• Scaling laws for the decay of multiqubit entanglement
• Multiparticle entanglement under the influence of decoherence
• Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
• The squeezed generalized amplitude damping channel
• Spin chains and channels with memory
• Robustness of Highly Entangled Multi-Qubit States Under Decoherence
• Hastening, delaying, or averting sudden death of quantum entanglement
• Open-system dynamics of graph-state entanglement
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• Abrupt Changes in the Dynamics of Quantum Disentanglement
• Noisy entanglement evolution for graph states
• Robustness of multi-qubit entanglement in the independent decoherence model
• Partial Transpose Moments, Principal Minors and Entanglement Detection