Detection of multipartite entanglement based on Heisenberg-Weyl representation of density matrices
arXiv:2205.15493 · doi:10.1007/s10773-022-05123-9
Abstract
We study entanglement and genuine entanglement of tripartite and four-partite quantum states by using Heisenberg-Weyl (HW) representation of density matrices. Based on the correlation tensors in HW representation, we present criteria to detect entanglement and genuine tripartite and four-partite entanglement. Detailed examples show that our method can detect more entangled states than previous criteria.
References in corpus (8)
- Bloch vectors for qudits
- Witnessing genuine multipartite entanglement with positive maps
- Improved lower bounds on genuine-multipartite-entanglement concurrence
- Improved Separability Criteria Based on Bloch Representation of Density Matrices
- The norms of Bloch vectors and classification of four qudits quantum states
- Separability criteria based on Heisenberg-Weyl representation of density matrices
- Inequalities detecting entanglement for arbitrary bipartite systems
- Bounds on Multipartite Concurrence and Tangle