@article {1951, title = {Parallel Device-Independent Quantum Key Distribution}, journal = {IEEE Transactions on Information Theory}, volume = {66}, year = {2020}, month = {09/2020}, pages = {5567-5584}, abstract = {

A prominent application of quantum cryptography is the distribution of cryptographic keys that are provably secure. Such security proofs were extended by Vazirani and Vidick ( Physical Review Letters , 113, 140501, 2014) to the device-independent (DI) scenario, where the users do not need to trust the integrity of the underlying quantum devices. The protocols analyzed by them and by subsequent authors all require a sequential execution of N multiplayer games, where N is the security parameter. In this work, we prove the security of a protocol where all games are executed in parallel. Besides decreasing the number of time-steps necessary for key generation, this result reduces the security requirements for DI-QKD by allowing arbitrary information leakage of each user\’s inputs within his or her lab. To the best of our knowledge, this is the first parallel security proof for a fully device-independent QKD protocol. Our protocol tolerates a constant level of device imprecision and achieves a linear key rate.

}, doi = {https://doi.org/10.1109/TIT.2020.2986740}, url = {https://arxiv.org/abs/1703.05426}, author = {Rahul Jain and Carl Miller and Yaoyun Shi} }