Catalyst-assisted Probabilistic Entanglement Transformation
arXiv:quant-ph/0404154 · doi:10.1109/TIT.2004.842574
Abstract
We are concerned with catalyst-assisted probabilistic entanglement transformations. A necessary and sufficient condition is presented under which there exist partial catalysts that can increase the maximal transforming probability of a given entanglement transformation. We also design an algorithm which leads to an efficient method for finding the most economical partial catalysts with minimal dimension. The mathematical structure of catalyst-assisted probabilistic transformation is carefully investigated.
12 pages