Eigenvalues of multipartite entanglement witnesses

• URL: http://arxiv.org/abs/2608.29049v1
• Date: Sat, 29 Aug 2026 04:47:51 GMT
• Title: Eigenvalues of multipartite entanglement witnesses
• Abstract summary: We provide a necessary and sufficient condition to construct a special DEW using the multipartite GHZ state.<n>For multipartite DEW, we explicitly characterize the supremum and infimum of maximum and minimum eigenvalues.<n>We also derive other results concerning NDEW, eigenvalues of $2 times n$ EWs and the corresponding physical implications.
• Score: 4.115763274264731
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate various properties of multipartite block-positive operators, decomposable EWs (DEWs), and non-decomposable EWs. We provide a necessary and sufficient condition to construct a special DEW using the multipartite GHZ state. For multipartite DEW, we explicitly characterize the supremum and infimum of maximum and minimum eigenvalues, as well as the trace of its square. We also derive other results concerning NDEW, eigenvalues of $2 \times n$ EWs and the corresponding physical implications. Furthermore, we investigate the tightness of inequalities of these eigenvalues with examples.

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