Exploration reveals how resource theories imply a gauge freedom for error correction in quantum systems, suggesting new decoding approaches.
Resource theories play a crucial role in characterizing states and properties essential for quantum information processing. A significant challenge is protecting resources from errors. We explore strategies for correcting quantum resources. We show that resource preserving operations in resource theory define a gauge freedom on code spaces, which allows for recovery strategies that can correct the resource while changing non-essential properties. This allows decoding to be simplified. The results are applicable to various resource theories and quantum information applications.
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Byrd et al. (2025) studied this question.
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