Quantum entanglement in the triangle network

@article{Kraft2020QuantumEI,
  title={Quantum entanglement in the triangle network},
  author={Tristan Kraft and S{\'e}bastien Designolle and Christina E. Ritz and Nicolas Brunner and Otfried G{\"u}hne and Marcus Huber},
  journal={arXiv: Quantum Physics},
  year={2020}
}
Beyond future applications, quantum networks open interesting fundamental perspectives, notably novel forms of quantum correlations. In this work we discuss quantum correlations in networks from the perspective of the underlying quantum states and their entanglement. We address the questions of which states can be prepared in the so-called triangle network, consisting of three nodes connected pairwise by three sources. We derive necessary criteria for a state to be preparable in such a network… 

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References

SHOWING 1-10 OF 80 REFERENCES
Physica D 120
  • 62
  • 1998
Phys
  • Rep. 474, 1
  • 2009
Phys
  • Rev. Lett. 120, 060502
  • 2018
SCI
and a at
The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally
Genuine Network Multipartite Entanglement.
TLDR
This work proposes an alternative definition for genuine multipartite entanglement, whereby a quantum state is genuinely network k-entangled if it cannot be produced by applying local trace-preserving maps over several (k-1)-partite states distributed among the parties, even with the aid of global shared randomness.
Complex
A series of luminescent dinuclear platinum(II) complexes incorporating diphenylpyrazine-based bridging ligands (L n ) have been prepared. Both 2,5-diphenylpyrazine (n = 2) and 2,3-diphenylpyrazine (n
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Genuine Quantum Nonlocality in the Triangle Network.
TLDR
Novel examples of "quantum nonlocality without inputs" are presented, which are believed to represent a new form of quantum nonLocality, genuine to networks.
Bounding the Sets of Classical and Quantum Correlations in Networks.
TLDR
A method that allows the study of classical and quantum correlations in networks with causally independent parties, such as the scenario underlying entanglement swapping, is presented, which enables the use of the Navascués-Pironio-Acín hierarchy in complex quantum networks.
...
...