Continuous Variable Solution for Byzantine Agreement

2005/07/26 by Rodion Neigovzen, Carles Rodó, C. Rodó +3
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1103/physreva.77.062307

published as Phys. Rev. A 77, 062307 (2008) · 4 pages

arxiv created 2005/07/26 · openalex publication_date 2008/06/04 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Quantum engineering of squeezed states for quantum communication and metrology
• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Entanglement in continuous-variable systems: recent advances and current perspectives
• 7 dB quadrature squeezing at 860nm with periodically poled KTiOPO4
• The Byzantine Generals Problem