# 1D Error Correcting Code for Majorana Qubits

## TL;DR

This paper proposes a 1D repetition error correction code tailored for Majorana qubits, significantly reducing error rates and extending qubit lifetime from milliseconds to over a second.

## Contribution

It introduces a novel 1D error correction scheme specifically designed for Majorana qubits, leveraging the imbalance in error types to enhance coherence.

## Key findings

- Error rate reduction via 1D repetition code
- Qubit lifetime extended from milliseconds to over one second
- Natural construction of the code from Majorana nanowire segments

## Abstract

Although Majorana platforms are promising avenues to realizing topological quantum computing, they are still susceptible to errors from thermal noise and other sources. We show that the error rate of Majorana qubits can be drastically reduced using a 1D repetition code. The success of the code is due the imbalance between the phase error rate and the flip error rate. We demonstrate how a repetition code can be naturally constructed from segments of Majorana nanowires. We find the optimal lifetime may be extended from a millisecond to over one second.