Quantum synchronization and quantum state sharing in irregular complex network

TL;DR

This paper explores quantum synchronization and state sharing in complex networks of optomechanical systems, demonstrating conditions for maintaining high-level quantum coherence and synchronization across different network topologies.

Contribution

It introduces a novel analysis of quantum synchronization in irregular complex networks and provides analytical conditions for synchronization in small-world and scale-free networks.

Findings

Quantum states can be shared across networks despite topology variations.

High levels of quantum synchronization are sustainable under Markovian dissipation.

Synchronization depends on specific conditions, achievable analytically.

Abstract

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the topology is varying. Considering a channel constructed by quantum correlation, we show that quantum synchronization can sustain and maintain high levels in Markovian dissipation for a long time. We analyze state sharing process between two typical complex networks, that is, a small-world network corresponding to linear motif state sharing and a scale-free network corresponding to whole network sharing, respectively. Our results predict that linked nodes can be directly synchronized in small-world network, but the whole network will be synchronized only if some specific synchronization conditions are satisfied. Furthermore, we give the synchronization conditions analytically through analyzing network dynamics. This proposal paves the way for studying multi-interaction synchronization and achieving an effective quantum information processing in complex network.