Spreading Nonlocality in Quantum Network

Abstract

Starting from several copies of bipartite noisy entangled states, we design a global and optimal local measurement-based protocol in one- and two-dimensional lattices by which any two or more prefix sites can be connected via entanglement. Production of bipartite as well as multipartite entangled states in a network is verified in a device independent way through the violation of Bell inequalities with two settings per site and with continuous range of settings. We also note that if the parties refuse to perform local measurements, the entanglement distribution scheme fails. We obtain critical values of noise allowed in the initial state so that the resulting output state show nonlocal correlation in different networks with arbitrary number of connections. We report that by employing our method, it is possible to create a Bell-violating multipartite entangled state from non-Bell violating bipartite states in an one-dimensional lattice with minimal coordination number being six. Such a feature of superadditivity in violation can also be observed in a triangular two dimensional lattice but not in a square lattice.

arXiv comment12 pages, 8 figures

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Cited by in corpus (9)

• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Characterizing nonlocal correlations through various $n$-locality inequlities in quantum network
• Measurement-based Multipartite Entanglement Inflation
• Circulating Genuine Multiparty Entanglement in Quantum Network
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Limits of network nonlocality probed by time-like separated observers
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
• Quantum entanglement percolation under a realistic restriction
• Hierarchies among genuine multipartite entangling capabilities of quantum gates