Completely Device Independent Quantum Key Distribution

Abstract

Quantum key distribution (QKD) is a provably secure way for two distant parties to establish a common secret key, which then can be used in a classical cryptographic scheme. Using quantum entanglement, one can reduce the necessary assumptions that the parties have to make about their devices, giving rise to device-independent QKD (DIQKD). However, in all existing protocols to date the parties need to have an initial (at least partially) random seed as a resource. In this work, we show that this requirement can be dropped. Using recent advances in the fields of randomness amplification and randomness expansion, we demonstrate that it is sufficient for the message the parties want to communicate to be (partially) unknown to the adversaries -- an assumption without which any type of cryptography would be pointless to begin with. One party can use her secret message to locally generate a secret sequence of bits, which can then be openly used by herself and the other party in a DIQKD protocol. Hence, our work reduces the requirements needed to perform secure DIQKD and establish safe communication.

7+7 pages , 4 figures

References in corpus (4)

• Leftover Hashing Against Quantum Side Information
• Composability in quantum cryptography
• Unconditionally secure device-independent quantum key distribution with only two devices
• Weak randomness completely trounces the security of QKD

Cited by in corpus (6)

• Device-independent two-party cryptography secure against sequential attacks
• Revealing of hidden quantum steerability using local filtering operations
• Nonlocal quantum correlations under amplitude damping decoherence
• Measurement-Device-Independenization of Quantum Key Distribution Protocols
• Device-independent secret-key-rate analysis for quantum repeaters
• Private Weakly-Random Sequences from Human Heart Rate for Quantum Amplification