Quantum key distribution based on private states: unconditional security over untrusted channels with zero quantum capacity

Details Quantum key distribution based on private states: unconditional security over untrusted channels with zero quantum capacity Quantum key distribution based on private states: unconditional security over untrusted channels with zero quantum capacity

2006-08-25

arxiv.org/abs/quant-ph/0608195v4

IEEE Transactions on Information Theory Vol 54 Issue 6 p2604-2620 (2008)

Physics

Quantum Physics

Final version for IEEE TIT

Scientific paper

We prove unconditional security for a quantum key distribution (QKD) protocol based on distilling pbits (twisted ebits) [quant-ph/0309110] from an arbitrary untrusted state that is claimed to contain distillable key. Our main result is that we can verify security using only public communication -- via parameter estimation of the given untrusted state. The technique applies even to bound entangled states, thus extending QKD to the regime where the available quantum channel has zero quantum capacity. We also show how to convert our purification-based QKD schemes to prepare-measure schemes.

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