Equivalence between two-qubit entanglement and secure key distribution

Details Equivalence between two-qubit entanglement and secure key distribution Equivalence between two-qubit entanglement and secure key distribution

2003-03-10

arxiv.org/abs/quant-ph/0303053v3

Phys. Rev. Lett. 91, 167901 (2003).

Physics

Quantum Physics

5 pages, REVTEX. Accepted version + added appendix. Proof of the main result and discussion improved, conclusions unchanged

Scientific paper

10.1103/PhysRevLett.91.167901

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.

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