Back to Search
Start Over
The decompositions of Werner and isotropic states.
- Source :
-
Quantum Information Processing . Aug2021, Vol. 20 Issue 8, p1-11. 11p. - Publication Year :
- 2021
-
Abstract
- The decompositions of separable Werner states and isotropic states are well-known tough issues in quantum information theory. In this work, we investigate them in the Bloch vector representation, exploring the symmetric informationally complete positive operator-valued measure (SIC-POVM) in the Hilbert space. In terms of regular simplexes, we successfully get the decomposition for arbitrary Werner state in C N ⊗ C N , and the explicit separable decompositions are constructed based on the SIC-POVM. Meanwhile, the decomposition of isotropic states is found related to the decomposition of Werner states via partial transposition. It is interesting to note that when dimension N approaches to infinity, the Werner states are either separable or non-steerably entangled, and most of the isotropic states tend to be steerable. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM information theory
*HILBERT space
*INFINITY (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 20
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 152501859
- Full Text :
- https://doi.org/10.1007/s11128-021-03193-y