Revealing Hidden Non n-Locality In n-Local Star Network

• URL: http://arxiv.org/abs/2506.19026v1
• Date: Mon, 23 Jun 2025 18:28:51 GMT
• Title: Revealing Hidden Non n-Locality In n-Local Star Network
• Authors: Kaushiki Mukherjee, Biswajit Paul,
• Abstract summary: Non n-locality can be exploited by incorporating filtering operations in star-shaped n-local networks.<n>It is observed that for effectiveness of sequential networks, Bell-CHSH nonlocality(upto SLOCC operations) of every individual two-qubit state, distributed in the network, is not mandatory.<n>However, there does not exist any separable local filter, which when applied in n-local network involving only Bell local states(upto SLOCC operations) can reveal non n-locality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Keeping pace with technological advancement, in the past decade, use of scalable networks have extended the study of quantum non-classicality beyond the regime of Bell-CHSH nonlocality. Present work provide characterization of non n-locality that can be exploited by incorporating filtering operations in star-shaped n-local networks. This in turn provide a framework of sequential n-local networks capable of generating non n-local correlations by involving some suitable form of stochastic local operations assisted with classical communications(SLOCC). It is observed that for effectiveness of such sequential networks, Bell-CHSH nonlocality(upto SLOCC operations) of every individual two-qubit state, distributed in the network, is not mandatory. However, there does not exist any separable local filter, which when applied in n-local network involving only Bell local states(upto SLOCC operations), can reveal non n-locality. Interestingly, instances revealing advantage of nonseparable mutli-qubit local filters over separable mutli-qubit local filters(by central node) are obtained. Such an advantage is attributable to the specific topology of star-shaped n-local networks and thus can never be reflected in Bell scenario.

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