Multipartite Continuous Variable Solution for the Byzantine Agreement Problem

Details Multipartite Continuous Variable Solution for the Byzantine Agreement Problem Multipartite Continuous Variable Solution for the Byzantine Agreement Problem

2007-12-14

arxiv.org/abs/0712.2404v2

Phys. Rev. A 77, 062307 (2008)

Physics

Quantum Physics

This paper supersedes and extends arXiv:quant-ph/0507249, title changed to match the published version, 11 pages, 3 figures, p

Scientific paper

10.1103/PhysRevA.77.062307

We demonstrate that the Byzantine Agreement (detectable broadcast) is also solvable in the continuous-variable scenario with multipartite entangled Gaussian states and Gaussian operations (homodyne detection). Within this scheme we find that Byzantine Agreement requires a minimum amount of entanglement in the multipartite states used in order to achieve a solution. We discuss realistic implementations of the protocol, which consider the possibility of having inefficient homodyne detectors, not perfectly correlated outcomes, and noise in the preparation of the resource states. The proposed protocol is proven to be robust and efficiently applicable under such non-ideal conditions.

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