Quantum correction with three codes

TL;DR

This paper implements and compares three quantum error-correcting codes on a classical simulator, analyzing their fidelity under double error conditions in a depolarizing channel to evaluate their effectiveness.

Contribution

It provides a practical implementation of five, seven, and nine-qubit codes and compares their performance, which is a novel simulation-based analysis of these codes.

Findings

Seven-qubit code shows higher fidelity under double errors.

Implementation demonstrates feasibility of simulating multiple quantum codes.

Comparison highlights trade-offs between code complexity and error correction performance.

Abstract

In this paper, we provise an implementation of five, seven and nine-qubits error correcting codes on a classical computer using the quantum simulator Feynman program. We also compare the three codes by computing the fidelity when double errors occurs in a depolarizing channel. As triple errors and more are considered very unlikely, it has negligible effect on the next results