Document Type
Article
Department/Program
Mathematics
Journal Title
PHYSICAL REVIEW A
Pub Date
10-7-2016
Volume
94
Issue
4
Abstract
In recent years, several measures have been proposed for characterizing the coherence of a given quantum state. We derive several results that illuminate how these measures behave when restricted to pure states. Notably, we present an explicit characterization of the closest incoherent state to a given pure state under the trace distance measure of coherence. We then use this result to show that the states maximizing the trace distance of coherence are exactly the maximally coherent states. We define the trace distance of entanglement and show that it coincides with the trace distance of coherence for pure states. Finally, we give an alternate proof to a recent result that the l(1) measure of coherence of a pure state is never smaller than its relative entropy of coherence.
Recommended Citation
Chen, Jianxin; Grogan, Shane; Johnston, Nathaniel; Li, Chi-Kwong; and Plosker, Sarah, Quantifying the coherence of pure quantum states (2016). PHYSICAL REVIEW A, 94(4).
10.1103/PhysRevA.94.042313
DOI
10.1103/PhysRevA.94.042313
