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

TL;DR

This paper explores how non-local correlations can be shared among multiple observers in a three-qubit system through sequential measurements, revealing simultaneous violations of multiple MABK inequalities, which is more complex than the two-qubit case.

Contribution

It demonstrates for the first time that multiple MABK inequalities can be simultaneously violated in a three-qubit system via multilateral sequential measurements, revealing richer non-local sharing phenomena.

Findings

Simultaneous violation of two MABK inequalities in three-qubit systems.

Complete non-locality sharing with 8 MABK inequalities violated.

Nonlocal sharing exhibits more complex features than in two-qubit systems.

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 $\mathrm{Alice_{1}-Bob_{1}-Charlie_{1}}$ and $\mathrm{Alice_{2}-Bob_{2}-Charlie_{2}}$ 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.