Parallel State Transfer and Efficient Quantum Routing on Quantum Networks

TL;DR

This paper explores parallel quantum state transfer and entanglement distribution in multi-dimensional quantum networks, demonstrating optimal, robust routing methods inspired by superconducting circuit experiments.

Contribution

It introduces theoretical models for parallel quantum routing on complex networks, showing perfect state transfer and efficient entanglement distribution with robustness to dissipation.

Findings

Perfect parallel state transfer possible in harmonic oscillator networks

Entanglement distribution is optimal and robust in hypercube networks

Routing efficiency remains high despite dissipation and bandwidth limitations

Abstract

We study the routing of quantum information in parallel on multi-dimensional networks of tunable qubits and oscillators. These theoretical models are inspired by recent experiments in superconducting circuits using Josephson junctions and resonators. We show that perfect parallel state transfer is possible for certain networks of harmonic oscillator modes. We further extend this to the distribution of entanglement between every pair of nodes in the network, finding that the routing efficiency of hypercube networks is both optimal and robust in the presence of dissipation and finite bandwidth.