Quantum Network Recovery from Multinode Failure using Network Encoding with GHZ-States on Higher-Order Butterfly Networks

TL;DR

This paper introduces a protocol for quantum network recovery using GHZ states in butterfly networks, enabling efficient transmission and generalization to larger networks with multiqubit entanglement.

Contribution

It presents a novel protocol leveraging GHZ states for quantum network transmission and extends it to higher-order networks with multiqubit entanglement.

Findings

Efficient quantum state transmission with minimal qubit/classical bits.

Protocol generalizes to larger networks with multiqubit GHZ states.

Enhances quantum network robustness and operability.

Abstract

We propose a protocol to transmit three quantum states crossly in a butterfly network with prior entanglement, in the form of GHZ states, between three senders. The proposed protocol requires only one qubit transmission or two classical bits transmission in each channel of the network. We generalize this protocol to higher number of qubits with multiqubit GHZ states towards quantum network operability using network coding with multiqubit GHZ states on higher-order butterfly networks.