Direct estimation of functionals of density operators by local operations and classical communication
Alves, C. M., Horodecki, P., Oi, D. K. L., Kwek, L. C., & Ekert, A. K. (2003). Direct estimation of functionals of density operators by local operations and classical communication. Physical Review A, 68(3), Article 032306. https://doi.org/10.1103/PhysRevA.68.032306
We present a method of direct estimation of important properties of a shared bipartite quantum state, within the “distant laboratories” paradigm, using only local operations and classical communication. We apply this procedure to spectrum estimation of shared states, and locally implementable structural physical approximations to incompletely positive maps. This procedure can also be applied to the estimation of channel capacity and measures of entanglement.