On the Oblivious Transfer Capacity of Noisy Correlations

We deal with the task of obtaining oblivious transfer from noisy resources. We characterize which noisy channels/distributions are useful for obtaining oblivious transfer. We also introduce the problem of computing the oblivious transfer capacity of a noisy resource, which measures the optimal way of implementing oblivious transfer from a noisy channel/ distribution. We show that for honest but curious sender, the oblivious transfer capacity of noisy resources is strictly positive. Several open questions are raised