Continuous Variable Solution for Byzantine Agreement

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.

4 pages

References in corpus (13)

• Quantum information with continuous variables
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Quantum key distribution over 25 km with an all-fiber continuous-variable system
• Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement
• 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
• 7 dB quadrature squeezing at 860 nm with periodically-poled KTiOPO4
• Experimental demonstration of a quantum protocol for Byzantine agreement and liar detection
• Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
• Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states
• Byzantine Agreement with Two Quantum Key Distribution Setups
• Efficiency in Quantum Key Distribution Protocols with Entangled Gaussian States

Cited by in corpus (18)

• Quantum entanglement
• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• Beating the fault-tolerance bound and security loopholes for Byzantine agreement with a quantum solution
• Experimental Quantum Byzantine Agreement on a Three-User Quantum Network with Integrated Photonics
• Theory of genuine tripartite nonlocality of Gaussian states
• Systematic Construction of Genuine Multipartite Entanglement Criteria using Uncertainty Relations
• Quantum cryptography beyond key distribution: theory and experiment
• Efficiency in Quantum Key Distribution Protocols with Entangled Gaussian States
• A Quantum Detectable Byzantine Agreement Protocol using only EPR pairs
• A Multiparty Quantum Private Equality Comparison scheme relying on $|GH{Z}_3⟩$ states
• Genuine multipartite nonlocality of permutationally invariant Gaussian states
• One-to-Many Simultaneous Secure Quantum Information Transmission
• A Quantum Approach to News Verification from the Perspective of a News Aggregator
• A distributed and parallel $(k,n)$ QSS scheme with verification capability
• Quantum Information with Continuous Variable systems
• A novel $2$ \& $3$ player scheme for Quantum Direct Communication
• A Novel Scalable Quantum Protocol for the Dining Cryptographers Problem
• Scalable and Highly Fault-Tolerant Circular Quantum Byzantine Agreement