Abstract
The topic of this talk fits within the intriguing line of research that aims to use quantum information to build cryptographic primitives from weaker assumptions than is possible classically. I will talk about a recent result showing that, assuming quantum communication, quantum-hard one-way functions imply oblivious transfer, a central primitive in cryptography. In particular, the latter primitive is known to suffice for secure computation of arbitrary functionalities. In addition, our construction only makes black-box use of the one-way function. This result is in stark contrast with what is possible in the classical world, where it is known that one-way functions cannot imply oblivious transfer, when used in a black-box way.
This work is the result of a collaboration with James Bartusek, Dakshita Khurana and Fermi Ma, which started at "the Quantum Wave in Computing" semester.