Application of MERA in quantum networks communication: hierarchical entanglement compression management and dynamic optimization

Abstract

This paper explores the use of the multiscale entanglement renormalization ansatz (MERA) in quantum network communication, specifically its application in entanglement compression and dynamic network optimization. We propose a quantum network architecture that employs MERA to efficiently manage entanglement resources through a hierarchical structure, enhancing fault tolerance and network robustness. MERA’s disentanglement and isometric operations facilitate flexible fidelity management of entangled states, allowing the network to maintain integrity even when local entanglement fidelity is compromised. This design supports alternative routing paths, reducing reliance on any single entanglement link. Our approach optimizes quantum information transmission for better entanglement distribution and fidelity, improving error correction capabilities. The framework adapts routing strategies to real-time network conditions, efficiently reducing the number of relay hops needed for key distribution and enhancing resource utilization. This strategic implementation of MERA streamlines quantum communication by minimizing relays and optimizing key exchange processes.