Entanglement and distillation from symmetric positive maps
Phys. Rev. A 113, 022405 – Published 5 February, 2026
DOI: https://doi.org/10.1103/yz86-vqk9
Abstract
Recently, a toolkit of highly symmetric techniques employing matrix inequalities and positive maps has been developed to detect entanglement in various ways. Here we concisely review these methods providing a unified framework, and expand them to a family of positive maps with further detection capabilities. In the simplest case, we generalize the reduction map to detect more generic states using both multiple copies and local filters. Through the Choi-Jamiołkowski isomorphism, this family of maps leads to a construction of multipartite entanglement witnesses. Discussions and examples are provided regarding the detection of states with local positive partial transposition and the use of multiple copies.
