Resource theory of non-Gaussian operations

Understand

Non-Gaussian states and operations are crucial for various continuous-variable quantum information processing tasks.

• To quantitatively understand non-Gaussianity beyond states, we establish a resource theory for non-Gaussian operations.
• In our framework, we consider Gaussian operations as free operations, and non-Gaussian operations as resources.
• We define entanglement-assisted non-Gaussianity generating power and show that it is a monotone that is non-increasing under the set of free super-operations, i.e., concatenation and tensoring with Gaussian channels.