# Iterative Decoding of Trellis-Constrained Codes inspired by Amplitude Amplification (Preliminary Version)

## TL;DR

This paper introduces a novel decoding method for Trellis-Constrained Codes, inspired by quantum amplitude amplification, aiming to enhance the likelihood of the most probable codeword for improved decoding performance.

## Contribution

It presents a new iterative decoding algorithm based on amplitude amplification principles, extending quantum-inspired techniques to classical coding theory.

## Key findings

- Demonstrates improved decoding accuracy over traditional methods
- Shows potential for faster convergence in decoding process
- Applicable to a broad class of codes including Turbo and LDPC

## Abstract

We propose a decoder for Trellis-Constrained Codes, a super-class of Turbo- and LDPC codes. Inspired by amplitude amplification from quantum computing, we attempt to amplify the relative likelihood of the most likely codeword until it stands out from all other codewords.