Multi-partite separable states with unique decompositions and construction of three qubit entanglement with positive partial transpose
2014.08.13 14:54
| 실적년도 | 2014년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Kil-Chan Ha, Seung-Hyeok Kye |
| 학술지명 | Journal of Physics A: Mathematical and Theoretical |
| 권(Vol.) | 48 |
| 호(No.) | 4 |
| 게재년월 | 2014년 12월 |
| Impact Factor | 1.687(jcr2013) |
| SCI 등재 | |
| 비고 |
We investigate conditions on a finite set of multi-partite product vectors for which separable states with corresponding product states have unique decomposition, and show that this is true in most cases if the number of product vectors is sufficiently small. In the three qubit case, generic five dimensional spaces give rise to faces of the convex set consisting of all separable states, which are affinely isomorphic to the five dimensional simplex with six vertices. As a byproduct, we construct three qubit entangled PPT edge states of rank four with explicit formulae. This covers those entanglement which cannot be constructed from unextendible product basis.
