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Continuous Variable Solution for Byzantine Agreement

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arxiv quant-ph/0507249 v1 pith:GRBW6ZRW submitted 2005-07-26 quant-ph

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keywords gaussianstatesagreementbyzantinecontinuousentanglementproblemsymmetric
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We demonstrate that the Byzantine Agreement Problem (BAP) in its weaker version with detectable broadcast, can be solved using continuous variables Gaussian states with Gaussian operations. The protocol uses genuine tripartite symmetric entanglement, but differs from protocols proposed for qutrits or qubits. Contrary to the quantum key distribution (QKD) which is possible with all Gaussian states, for the BAP entanglement is needed, but not all tripartite entangled symmetric states can be used to solve the problem.

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