Optimal bipartite entanglement transfer and photonic implementations

Using local operations and classical communication two remote participants may transform one shared entanglement to other form. In this paper, we evaluate its success probability for arbitrary initial entanglement and final entanglement by using the majorization condition and solving an equivalent nonlinear optimization problem. The optimal probability is determined by their entanglement coefficients. The theoretical scheme may be approximated by an adaptable and iterative scheme, and is schematically realized using the phonotic entanglement with the help of the cross-Kerr nonlinearity.