Maximal qubit violation of n-local inequalities in quantum network

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.

9 pages, 5 figures, revtex, comments welcome

References in corpus (1)

• Nonlocal correlations in the star-network configuration

Cited by in corpus (8)

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• Nonlocal correlations in an asymmetric quantum network
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
• Entanglement of Assistance as a measure of multiparty entanglement
• Nonlocality in Continuous-Variable Quantum Networks