The complementarity relations of quantum coherence in quantum information processing

Fei Pan,Liang Qiu,Zhi Liu

doi:10.1038/srep43919

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 uncertainty-like 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.

Highlights

We establish two complementarity relations for the relative entropy of coherence in quantum information processing, i.e., quantum dense coding and teleportation
We will investigate the relation between quantum coherence and the optimal dense coding, and that between quantum coherence and teleportation
We relate the relative entropy of coherence to quantum dense coding and teleportation

Summary

Introduction

We establish two complementarity relations for the relative entropy of coherence in quantum information processing, i.e., quantum dense coding and teleportation. We want to give the quantitative relation between quantum coherence and the dense coding capacity or teleportation fidelity. Dense coding for the case that the subsystems of the entangled resource state have to pass a noisy unital quantum channel between the sender and the receiver is considered in ref.

Results

Conclusion