Non-locality sharing for a three-qubit system via multilateral sequential measurements

Non-locality sharing for a three-qubit system via multilateral sequential measurements was deeply discussed. Different from 2-qubit case, it is shown that non-locality sharing between $\mathrm{A}\mathrm{l}\mathrm{i}\mathrm{c}{\mathrm{e}}_1-\mathrm{B}\mathrm{o}{\mathrm{b}}_1-\mathrm{C}\mathrm{h}\mathrm{a}\mathrm{r}\mathrm{l}\mathrm{i}{\mathrm{e}}_1$ and $\mathrm{A}\mathrm{l}\mathrm{i}\mathrm{c}{\mathrm{e}}_2-\mathrm{B}\mathrm{o}{\mathrm{b}}_2-\mathrm{C}\mathrm{h}\mathrm{a}\mathrm{r}\mathrm{l}\mathrm{i}{\mathrm{e}}_2$ in 3-qubit system can be observed, where two Mermin-Ardehali-Belinskii-Klyshko (MABK) inequalities can be violated simultaneously. What’s more, a complete non-locality sharing with 8 MABK inequalities violations simultaneously can be also observed. Compared with 2-qubit case, the nonlocal sharing in a three qubit system shows more novel characteristics.