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- Title
Detection of genuine entanglement for multipartite quantum states.
- Authors
Zhao, Hui; Liu, Yu-Qiu; Jing, Naihuan; Wang, Zhi-Xi
- Abstract
We study genuine multipartite entanglement of arbitrary n-partite quantum states by representing the density matrices in terms of generalized Pauli operators. While the usual Bloch representation of a density matrix uses three types of generators in the special unitary Lie algebra su (d) , the Weyl representation with generalized Pauli operators has one uniformed type of generators that simplifies computation. In this paper, we take the advantage of this simplicity to derive useful and operational criteria to detect genuine tripartite entanglement. We also generalize the results to obtain a sufficient criterion to detect genuine entanglement for multipartite quantum states in arbitrary dimensions. The new method can detect more genuine entangled states than previous methods as backed by detailed examples.
- Subjects
QUANTUM states; QUANTUM entanglement; LIE algebras; DENSITY of states; DENSITY matrices
- Publication
Quantum Information Processing, 2022, Vol 21, Issue 9, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-022-03659-7