Separable states and the SPA of a positive map
Year: 2012
Type: preprint
Abstract: being the nxn matrices, is separable. There are necessary conditionslike the PPT condition which are reasonablyeasy to verify, but no such sufficientconditions. In the present paper we introduce two necessary conditions whichare very easy to verify, and then apply them to show that the SPA of someoptimal maps introduced by Ha and Kye [3] do not correspond to separablestates, yielding a counter example to the conjecture in [5] stating that the SPAof an optimal unital map is separable. It was announced in [3] that some oftheir maps yield counter examples of the conjecture and that proofs will appearin [4].Another consequence of our analysis is that if φ:M
Source: arXiv (Cornell University)
Author: Erling Størmer
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2253848428