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Entanglement Theory Quantum Correlations

Conditions for 3-partite and 4-partite genuine entanglement

arXiv
Authors: Mark Hillery

Year

2026

Paper ID

38804

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

A system of three or four particle can be entangled in a number of different ways. It may be the case that only subsets of the particles are entangled, and these subsets are not entangled with each other. It may also be the case that the state is the sum of states in which entanglement only exists within subsets. If this is not the case, the state is said to be genuinely entangled. GHZ states, for example, are genuinely entangled. Deciding whether a state is genuinely entangled is not simple, but conditions do exist to detect it. Here we would like to propose additional sufficient conditions based on one for bipartite entanglement.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • A system of three or four particle can be entangled in a number of different ways.

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