State-adaptive quantum error correction and fault-tolerant quantum computing
Abstract
We present a theoretical framework for state-adaptive quantum error correction that bridges the gap between quantum computing and error correction paradigms. By incorporating knowledge of quantum states into the error correction process, we establish a new capacity regime governed by quantum mutual information rather than coherent information. This approach reveals a fundamental connection to entanglement-assisted protocols. We demonstrate practical applications in fault-tolerant quantum computation, showing how state-adaptivity enables enhanced error correction without additional measurement overhead. The framework provides insights into quantum channel capacities while offering implementation advantages for current quantum computing platforms.
Cite
@article{arxiv.2508.06011,
title = {State-adaptive quantum error correction and fault-tolerant quantum computing},
author = {D. -S. Wang},
journal= {arXiv preprint arXiv:2508.06011},
year = {2026}
}