Maximal qubit violation of n-local inequalities in quantum network

• URL: http://arxiv.org/abs/2011.03513v1
• Date: Fri, 6 Nov 2020 18:45:07 GMT
• Title: Maximal qubit violation of n-local inequalities in quantum network
• Authors: Amit Kundu, Mostak Kamal Molla, Indrani Chattopadhyay and Debasis Sarkar
• Abstract summary: Source independent quantum networks are considered as a natural generalization to the Bell scenario. We consider the complexities in the quantum networks with an arbitrary number of parties distributed in chain-shaped and star-shaped networks.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Source independent quantum networks are considered as a natural generalization to the Bell scenario where we investigate the nonlocal properties of quantum states distributed and measured in a network. Considering the simplest network of entanglement swapping, recently Gisin et. al. and Andreoli et. al. independently provided a systematic characterization of the set of quantum states leading to violation of the so-called 'bilocality' inequality. In this work, we consider the complexities in the quantum networks with an arbitrary number of parties distributed in chain-shaped and star-shaped networks. We derive the maximal violation of the 'n-local' inequality that can be achieved by arbitrary two-qubit states for such chain and star-shaped networks. This would further provide us deeper understanding of quantum correlations in complex structures.

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