Abstract
In this paper we solve the following problem. Let be a Hilbert space of dimension , and let be a positive semidefinite self-adjoint linear operator on . Under which conditions on the spectrum has a positive partial transpose (is PPT) with respect to any partition of the space as a tensor product of an -dimensional and an -dimensional Hilbert space? We show that the necessary and sufficient conditions can be expressed as a set of linear matrix inequalities (LMIs) on the eigenvalues of .
- Received 10 July 2007
DOI:https://doi.org/10.1103/PhysRevA.76.052325
©2007 American Physical Society