Device-independent full network nonlocality for arbitrary-party and unbounded-input scenario

• URL: http://arxiv.org/abs/2409.19419v1
• Date: Sat, 28 Sep 2024 17:40:34 GMT
• Title: Device-independent full network nonlocality for arbitrary-party and unbounded-input scenario
• Authors: Sneha Munshi, A. K. Pan,
• Abstract summary: Full network nonlocality (FNN) characterizes quantum correlations that cannot be reproduced by a local-nonlocal model. We introduce an elegant set of arbitrary-party and unbounded-input network inequalities in star-shaped and linear-chain networks. Our derivation of optimal quantum violation is fully analytic and devoid of assuming the dimension of the quantum system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The nonlocality arising in a multi-party network involving multiple independent sources radically differs from the standard multipartite Bell nonlocality involving a single source. The notion of the full network nonlocality (FNN) (Phys. Rev. Lett.128, 010403 (2022)) characterizes the quantum correlations that cannot be reproduced by a local-nonlocal model featuring one local source and the rest of nonlocal no-signaling sources. However, the demonstration of FNN was limited to bilocal and trilocal star-shaped network scenarios involving three or two dichotomic measurements for edge parties. In this paper, we first demonstrate that a large class of prevailing network inequalities does not exhibit FNN. We then introduce an elegant set of arbitrary-party and unbounded-input network inequalities in star-shaped and linear-chain networks whose optimal quantum violation exhibits FNN, certifying that the nonlocality is genuinely distributed to the entire network. Contrasting to existing demonstrations of FNN that inevitably require fixed-input and four-output elegant joint measurements for the central party, our generalized inequalities are more experimentally friendly, requiring only two-output measurements. Moreover, our derivation of optimal quantum violation is fully analytic and devoid of assuming the dimension of the quantum system, thereby showcasing its potential for device-independent self-testing.

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