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

• URL: http://arxiv.org/abs/2508.06011v1
• Date: Fri, 08 Aug 2025 04:51:13 GMT
• Title: State-adaptive quantum error correction and fault-tolerant quantum computing
• Authors: D. -S. Wang,
• Abstract summary: We present a theoretical framework for state-adaptive quantum error correction (SAQEC)<n>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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: We present a theoretical framework for state-adaptive quantum error correction (SAQEC) 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 new insights into quantum channel capacities while offering implementation advantages for current quantum computing platforms.

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