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Entanglement Theory Quantum Correlations

On the edge of the set of no-signaling assemblages

arXiv
Authors: Michał Banacki, Ricard Ravell Rodríguez, Paweł Horodecki

Year

2020

Paper ID

21152

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

0

Abstract

Following recent advancements, we consider a scenario of multipartite postquantum steering and general no-signaling assemblages. We introduce the notion of the edge of the set of no-signaling assemblages and we present its characterization. Next, we use this concept to construct witnesses for no-signaling assemblages without an LHS model. Finally, in the simplest nontrivial case of steering with two untrusted subsystems, we discuss the possibility of quantum realization of assemblages on the edge. In particular, for three-qubit states, we obtain a no-go type result, which states that it is impossible to produce assemblage on the edge using measurements described by POVMs as long as the rank of a given state is greater than or equal to 3.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • Following recent advancements, we consider a scenario of multipartite postquantum steering and general no-signaling assemblages.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2008.12325 [2] arXiv https://arxiv.org/abs/2008.12325 [3] Publisher https://arxiv.org/abs/2008.12325

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