State-adaptive quantum error correction and fault-tolerant quantum computing

TL;DR

This paper introduces a state-adaptive quantum error correction framework that leverages quantum state knowledge to improve fault-tolerance, connecting quantum capacities with entanglement-assisted protocols and reducing measurement overhead.

Contribution

It develops a novel theoretical framework for state-adaptive quantum error correction, linking it to quantum capacities and entanglement-assisted protocols, with practical implications for fault-tolerant quantum computing.

Findings

Enhanced error correction without extra measurements

New capacity regime based on quantum mutual information

Practical advantages for current quantum platforms

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.