Title: Error-Correcting Quantum Computation with Probabilistic Redundancy
Jincheng Zhang
Abstract
Quantum computation offers the potential for unprecedented computational power, but inherent fragility due to quantum errors presents a significant challenge. Current quantum error correction techniques are limited by their computational overhead and sensitivity to noise, hindering the realization of fault-tolerant quantum systems. This research investigates a novel approach to error correction utilizing probabilistic redundancy – a dynamic adjustment of the computation to mitigate errors – to achieve a level surpassing current best practices. We propose a self-correcting mechanism based on quantum error correction, dynamically adjusting the computation to mitigate errors. This will result in a quantum algorithm capable of reliably performing complex computations, addressing a critical bottleneck in the field. The paper details the core mechanism, its theoretical underpinnings, and preliminary experimental results demonstrating its effectiveness. We anticipate that this work will significantly advance the state-of-the-art in quantum error correction, paving the way for truly fault-tolerant quantum computations.