Towards Quantum Error Correction via Information Geometry

Jincheng Zhang

Published Aug 28, 2026• 0 citations

Abstract

Quantum error correction (QEC) is a cornerstone of quantum computing, vital for mitigating the detrimental effects of noise on quantum information. Traditional QEC approaches often rely on iterative optimization techniques or exhaustive searches, which can be computationally expensive and may not always yield optimal solutions. This work introduces a novel framework for QEC leveraging the principles of information geometry. We formulate the QEC problem as an optimization task within the geometric space defined by the quantum state space, aiming to minimize the information-theoretic distance between the encoded and original states. Specifically, we employ the concept of the Fisher Information Metric to characterize the geometry of the quantum state space and utilize gradient-based optimization algorithms to find the most efficient quantum codes. The presented approach offers a geometric perspective on QEC, potentially leading to improved code design, enhanced error correction performance, and increased coding efficiency. This research contributes a new methodology for QEC, offering a promising avenue for tackling the challenges in building robust and scalable quantum computers.

DOI: 10.5281/zenodo.22139812

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