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PreprintCC BY 4.0arXiv

Network nonlocality with tripartite entangled sources

  • Sudip Chakrabarty
  • Amit Kundu
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Abstract

Quantum networks are built from independent sources, and their nonlocality has mostly been studied with sources that emit bipartite entangled states. A source of three entangled qubits is richer, since its nonlocality can be tested by the Mermin or the more demanding Svetlichny inequality. We ask how network nonlocality relates to these two single-source notions and find that the answer depends on the wiring. When two central nodes without inputs share every source, Bell-state measurements turn every Svetlichny violation into a network violation, and even all entangled generalised Greenberger-Horne-Zeilinger states violate the network inequality. When a single central node is shared, the relation reverses, and a network violation requires a Mermin violation of the source. With more sources, the maximal violation depends on whether their number is even or odd, and we give tight bounds for both cases. These results show that the way multipartite sources are wired decides which kind of nonlocality a network inherits.

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Cite

BibTeXRIS
BibTeX
@misc{chakrabarty2026network,
  title = {{Network nonlocality with tripartite entangled sources}},
  author = {Sudip Chakrabarty and Amit Kundu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35838},
  eprint = {2610.35838},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35838},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Network nonlocality with tripartite entangled sources
AU  - Sudip Chakrabarty
AU  - Amit Kundu
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35838
UR  - https://arxiv.org/abs/2610.35838
AB  - Quantum networks are built from independent sources, and their nonlocality has mostly been studied with sources that emit bipartite entangled states. A source of three entangled qubits is richer, since its nonlocality can be tested by the Mermin or the more demanding Svetlichny inequality. We ask how network nonlocality relates to these two single-source notions and find that the answer depends on the wiring. When two central nodes without inputs share every source, Bell-state measurements turn every Svetlichny violation into a network violation, and even all entangled generalised Greenberger-Horne-Zeilinger states violate the network inequality. When a single central node is shared, the relation reverses, and a network violation requires a Mermin violation of the source. With more sources, the maximal violation depends on whether their number is even or odd, and we give tight bounds for both cases. These results show that the way multipartite sources are wired decides which kind of nonlocality a network inherits.
ER  -