Multipartite Nonlocality in Clifford Networks
In an N-party quantum network, non-classical correlations can arise when locally measuring across k-party entangled states that are independently distributed. Such correlations are said to embody quantum network nonlocality. In this paper, we show that bipartite entanglement (i.e. k=2) is sufficient for generating all forms of quantum network nonlocality when allowing for post-selection, a feature that might not arise when using more general non-signaling devices. We then demonstrate that network nonlocality fails to emerge in quantum networks limited strictly to pure stabilizer states and Clifford gates. This work sheds new light on the distinction between non-genuine and genuine network nonlocality by showing that all known approaches for generating the latter require some form of non-Clifford operation
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