Separability criteria based on Heisenberg-Weyl representation of density matrices

Abstract

Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states.

arXiv comment5 pages

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Cited by in corpus (6)

• A Family of Bipartite Separability Criteria Based on Bloch Representation of Density Matrices
• Detection of the quantum states containing at most $k-1$ unentangled particles
• Detection of multipartite entanglement based on Heisenberg-Weyl representation of density matrices
• Separability criteria based on the Weyl operators
• Bloch sphere analog of qudits using Heisenberg-Weyl Operators
• Separability criteria based on the correlation tensor moments for arbitrary dimensional states