The complementarity relations of quantum coherence in quantum information processing

TL;DR

This paper establishes complementarity relations for quantum coherence in quantum information tasks like dense coding and teleportation, linking local coherence to their capacities and fidelities.

Contribution

It introduces new complementarity relations connecting quantum coherence with dense coding capacity and teleportation fidelity, applicable even in noisy quantum channels.

Findings

Relation between local quantum coherence and dense coding capacity.

Relation between local quantum coherence and teleportation fidelity.

Applicability to noisy quantum channels.

Abstract

We establish two complementarity relations for the relative entropy of coherence in quantum information processing, i.e., quantum dense coding and teleportation. We first give an uncertaintylike expression relating local quantum coherence to the capacity of optimal dense coding for bipartite system. The relation can also be applied to the case of dense coding by using unital memoryless noisy quantum channels. Further, the relation between local quantum coherence and teleportation fidelity for two-qubit system is given.