Multipartite Continuous Variable Solution for the Byzantine Agreement Problem

Abstract

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.

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

References in corpus (4)

• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Quantum engineering of squeezed states for quantum communication and metrology
• Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
• Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case

Cited by in corpus (1)

• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure