Network nonlocality breaking channels

• URL: http://arxiv.org/abs/2510.26417v1
• Date: Thu, 30 Oct 2025 12:08:25 GMT
• Title: Network nonlocality breaking channels
• Authors: Kaushiki Mukherjee, Nirman Ganguly,
• Abstract summary: Network nonlocality, a recently noted form of nonlocality, has been shown to have distinctive features.<n>We characterize quantum channels according to their ability in preserving quantum resources.<n>The study is vindicated by illustrations from various noise models like depolarizing and dephasing channels.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Network nonlocality, a recently noted form of nonlocality has been shown to have distinctive features, marking a significant departure from the notion of standard Bell nonlocality in the context of quantum correlations. On a pragmatic front, it has gained significant importance as researchers worldwide actively engage in the study on quantum networks. However, as typical to any quantum resource, network nonlocality is also vulnerable to environmental noise, which sometimes prove to be detrimental. Environmental interactions are modeled in terms of quantum channels. In the present study, we introduce and characterize network nonlocality breaking channels. Network nonlocality breaking channels model environmental influences which results in the loss of resource, i.e., the system loses its nonlocal resource due to such interactions. The study is done in the ambit of some suitably chosen inequalities in (i) linear networks and (ii) star-shaped networks. Further, the loss in full network nonlocality is also studied. Furthermore, we also characterize quantum channels according to their ability in preserving quantum resources, i.e., they do not break network nonlocality, which enables one to identify useful quantum channels in networks. The study is vindicated by illustrations from various noise models like depolarizing and dephasing channels.

Related papers

• Local models and Bell inequalities for the minimal triangle network [78.45663456116702]
  Nonlocal correlations enable surprising phenomena in quantum information and quantum foundations.<n>We study one of the simplest scenarios, namely that of distributions invariant under permutations of parties in the minimal triangle network.<n>We provide insights on the existence of a classical-quantum gap in the triangle network with binary outcomes.
  arXiv  Detail & Related papers  (2025-03-20T19:11:06Z)
• Topologically Robust Quantum Network Nonlocality [0.41942958779358674]
  We discuss quantum network Bell nonlocality in a setting where the network structure is not fully known. In particular, we show that in a large ring network, the knowledge of only a small part of the network structure is enough to guarantee nonlocality over the entire network. This shows that quantum network nonlocality can be extremely robust to changes in the network topology.
  arXiv  Detail & Related papers  (2024-06-13T18:01:50Z)
• Nonlocality activation in a photonic quantum network [0.44270590458998854]
  Bell nonlocality is crucial for device-independent technologies like quantum key distribution and randomness generation. We show that single copies of Bell-local states can give rise to nonlocality after being embedded into a quantum network of multiple parties. Our findings have fundamental implications for nonlocality and enable the practical use of nonlocal correlations in real-world applications.
  arXiv  Detail & Related papers  (2023-09-12T18:14:49Z)
• Hierarchical certification of nonclassical network correlations [50.32788626697182]
  We derive linear and nonlinear Bell-like inequalities for networks, whose violation certifies the absence of a minimum number of classical sources in them. We insert this assumption, which leads to results more amenable to certification in experiments.
  arXiv  Detail & Related papers  (2023-06-27T18:00:01Z)
• Experimental full network nonlocality with independent sources and strict locality constraints [59.541438315564854]
  Nonlocality in networks gives rise to phenomena radically different from that in standard Bell scenarios. We experimentally observe full network nonlocality in a network where the source-independence, locality, and measurement-independence loopholes are closed. Our experiment violates known inequalities characterizing non-full network nonlocal correlations by over five standard deviations.
  arXiv  Detail & Related papers  (2023-02-05T20:03:58Z)
• Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics [52.95080735625503]
  Full network nonlocality goes beyond standard nonlocality in networks by falsifying any model in which at least one source is classical. We report on the observation of full network nonlocality in a star-shaped network featuring three independent sources of photonic qubits and joint three-qubit entanglement-swapping measurements.
  arXiv  Detail & Related papers  (2022-12-19T19:00:01Z)
• Persistency of non-n-local correlations in noisy linear networks [0.0]
  Linear n-local networks are compatible with quantum repeaters based entanglement distribution protocols. Error in entanglement generation, communication over noisy quantum channels and imperfections in measurements result in decay of quantumness across such networks.
  arXiv  Detail & Related papers  (2022-08-14T14:47:07Z)
• Experimental demonstration of full network nonlocality in the bilocal scenario [0.0]
  We experimentally demonstrate full network nonlocal correlations in a network. Our results may pave the way for the use of nonlocality test in quantum communication protocols.
  arXiv  Detail & Related papers  (2022-01-17T11:49:26Z)
• Genuine network quantum nonlocality and self-testing [0.0]
  We define a notion of genuine network quantum nonlocality. We show several examples of correlations that are genuine network nonlocal. In particular, we present an example of quantum self-testing which relies on the network structure.
  arXiv  Detail & Related papers  (2021-05-26T06:05:22Z)
• Full network nonlocality [68.8204255655161]
  We introduce the concept of full network nonlocality, which describes correlations that necessitate all links in a network to distribute nonlocal resources. We show that the most well-known network Bell test does not witness full network nonlocality. More generally, we point out that established methods for analysing local and theory-independent correlations in networks can be combined in order to deduce sufficient conditions for full network nonlocality.
  arXiv  Detail & Related papers  (2021-05-19T18:00:02Z)
• Decentralized Learning for Channel Allocation in IoT Networks over Unlicensed Bandwidth as a Contextual Multi-player Multi-armed Bandit Game [134.88020946767404]
  We study a decentralized channel allocation problem in an ad-hoc Internet of Things network underlaying on the spectrum licensed to a primary cellular network. Our study maps this problem into a contextual multi-player, multi-armed bandit game, and proposes a purely decentralized, three-stage policy learning algorithm through trial-and-error.
  arXiv  Detail & Related papers  (2020-03-30T10:05:35Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.