Equivalence between two-qubit entanglement and secure key distribution

Preprint

23 September 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0303053

Abstract

We study the problem of secret key distillation from bipartite states in the scenario where Alice and Bob can only perform measurements at the single-copy level and classically process the obtained outcomes. Even with these limitations, secret bits can be asymptotically distilled by the honest parties from any two-qubit entangled state, under any individual attack. Our results point out a complete equivalence between two-qubit entanglement and secure key distribution: a key can be established through a one-qubit channel if and only if it allows to distribute entanglement. These results can be generalized to higher dimension for all those states that are one-copy distillable.

Keywords

ENTANGLEMENT AND SECURE
EQUIVALENCE BETWEEN TWO
SECURE KEY DISTRIBUTION
TWO QUBIT ENTANGLEMENT
DISTILLATION

All Related Versions

Version 1, 2003-03-10, ArXiv
Version 2, 2003-04-01, ArXiv
Version 3, 2003-09-23, ArXiv
Published version: Physical Review Letters, 91 (16), 167901.

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