Full separability of four-qubit GHZ and W mixed states in white noise. (English) Zbl 1508.81248
Summary: Entanglement witnesses are fundamental tools for detecting entanglement. We prove the necessary and sufficient conditions via two entanglement witnesses for the full separability of system of the four-qubit GHZ and W mixed states in white noise in some parameter regions. The witnesses lead to the necessary conditions. For the sufficiency of the system, we generate three types of optimal product states. Then we show how to combine optimal product states to construct the four-qubit fully separable GHZ and W mixed states in white noise.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
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