# Robust and efficient transport of two-qubit entanglement via disordered spin chains

## TL;DR

This paper examines the robustness of a modified XX spin chain in transmitting entanglement under various types of disorder and noise, demonstrating resilience to weak disorder and superiority over standard models under moderate disorder.

## Contribution

It provides a comprehensive analysis of entanglement transmission robustness in disordered spin chains, extending previous models to include realistic noise and imperfections.

## Key findings

- Weak disorder (<1%) does not significantly affect entanglement transmission.
- Moderate disorder still outperforms the standard XX model.
- System remains robust for chains of hundreds of qubits.

## Abstract

We investigate how robust is the modified XX spin-1/2 chain of [R. Vieira and G. Rigolin, Phys. Lett. A 382, 2586 (2018)] in transmitting entanglement when several types of disorder and noise are present. First, we consider how deviations about the optimal settings that lead to almost perfect transmission of a maximally entangled two-qubit state affect the entanglement reaching the other side of the chain. Those deviations are modeled by static, dynamic, and fluctuating disorder. We then study how spurious or undesired interactions and external magnetic fields diminish the entanglement transmitted through the chain. For chains of the order of hundreds of qubits, we show for all types of disorder and noise here studied that the system is not appreciably affected when we have weak disorder (deviations of less than 1% about the optimal settings) and that for moderate disorder it still beats the standard and ordered XX model when deployed to accomplish the same task.