2014.07.22 17:32
실적년도 | 2012년 |
---|---|
논문구분 | 국외 |
총저자 | Seung-Hyeok Kye |
학술지명 | Banach Center Publications |
권(Vol.) | 96 |
호(No.) | |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | |
비고 |
A positive semi-de nite block matrix (a state if it is normalized) is said to be separable if it is the sum of simple tensors of positive semi-de nite matrices. A state is said to be entangled if it is not separable.
It is very difficult to detect the border between separable and entangled states. The PPT(positive partial transpose) criterion tells us that the partial transpose of a separable state is again positive semi-definite, as was observed by M. D. Choi in 1982 from the mathematics side.
In this expository note, we explain the facial structures of the cone of all PPT block matrices, which are naturally characterized by pairs of subspaces of (small) matrices.We also discuss which faces of PPT's induce faces of separable's, and which faces of separable's are induced by PPT's.