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

Abstract

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 $\mathrm{Alic}{\mathrm{e}}_1-\mathrm{Bo}{\mathrm{b}}_1-\mathrm{Charli}{\mathrm{e}}_1$ and $\mathrm{Alic}{\mathrm{e}}_2-\mathrm{Bo}{\mathrm{b}}_2-\mathrm{Charli}{\mathrm{e}}_2$ 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.

References in corpus (6)

• Device-independent security of quantum cryptography against collective attacks
• Sharing non-locality and non-trivial preparation contextuality using same family of Bell expressions
• Limitations on sharing Bell nonlocality between sequential pairs of observers
• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
• Network nonlocality sharing via weak measurements in the extended bilocal scenario
• Self-testing of multipartite GHZ states of arbitrary local dimension with arbitrary number of measurements per party

Cited by in corpus (10)

• Entanglement witnessing by arbitrarily many independent observers recycling a local quantum shared state
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
• Recycled entanglement detection by arbitrarily many sequential and independent pairs of observers
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Network nonlocality sharing via weak measurements in the generalized star network configuration
• Sharing Quantum Nonlocality in Star Network Scenarios
• Quantifying the intrinsic randomness in sequential measurements
• Sequentially witnessing entanglement by independent observer pairs
• Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
• Sharing nonlocality in a network using the quantum violation of chain network inequality