Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 61, Issue 12, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-022-05253-0
Keywords
Genuine multipartite entanglement; Correlation tensor
Categories
Funding
- Simons Foundation
- NSFC
- [523868]
- [12126351]
- [12126314]
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In this paper, the genuine multipartite entanglement was revisited using a simplified method involving Schmidt decomposition and local unitary transformation. A measurement based on the trace norm of the whole correlation tensor was proposed to detect genuine multipartite entanglement, and the criterion was extended to tripartite higher-dimensional systems.
We revisit the genuine multipartite entanglement by a simplified method, which only involves the Schmidt decomposition and local unitary transformation. We construct a local unitary equivalent class of the tri-qubit quantum state, then use the trace norm of the whole correlation tensor as a measurement to detect genuine multipartite entanglement. By detailed examples, we show our result can detect more genuinely entangled states. Furthermore, we generalize the genuine multipartite entanglement criterion to tripartite higher-dimensional systems.
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