Coherence as a Unit Resource for Quantum Error Correction

Understand

In this paper we study an error correcting protocol that specifically derives its error correcting properties from elementary units of coherence.

• The entire protocol from beginning to end is performed using non-coherence increasing operations, resulting in the consumption of the input coherence, thus necessitating further quantum resources if one wishes to perform the protocol again.
• We show that even when the input quantum resource is just 1 coherent qubit, one may acquire partial protection from phase flip errors, and that this can be scaled up to protect against arbitrary qubit errors with 6 ancillary coherent qubits as input.
• The work presented strengthens the operational interpretation of a single unit of coherence by providing a useful information theoretic task that one may perform when such elementary units of coherence are available.