  Cryptography's importance in our everyday lives continues to grow in our
increasingly digital world. Oblivious transfer (OT) has long been a fundamental
and important cryptographic primitive since it is known that general two-party
cryptographic tasks can be built from this basic building block. Here we show
the experimental implementation of a 1-2 random oblivious transfer (ROT)
protocol by performing measurements on polarization-entangled photon pairs in a
modified entangled quantum key distribution system, followed by all of the
necessary classical post-processing including one-way error correction. We
successfully exchange a 1,366 bits ROT string in ~3 min and include a full
security analysis under the noisy storage model, accounting for all
experimental error rates and finite size effects. This demonstrates the
feasibility of using today's quantum technologies to implement secure two-party
protocols.
