Quantum Resource Correction

TL;DR

This paper investigates quantum resource correction strategies, revealing gauge freedoms in resource theories that enable resource-preserving error correction and simplified decoding, with applications to quantum sensing.

Contribution

It introduces a framework where resource-preserving operations define gauge freedoms, enabling resource correction while altering non-essential properties.

Findings

Resource-preserving operations define gauge freedoms in code spaces.

The framework allows for resource correction with simplified decoding.

Application demonstrated in quantum sensing scenarios.

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.