Quantum Resource Correction
Mark Byrd, Daniel Dilley, Alvin Gonzales, Masaya Takahashi, Zain Saleem, Lian-Ao Wu
TL;DR
It is shown 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, which allows decoding to be simplified.
Abstract
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 we provide an application to quantum sensing.