Triangle-like inequalities related to coherence and entanglement negativity
Quantum Physics
2018-11-21 v1
Abstract
Quantum coherence and entanglement are two key features in quantum mechanics and play important roles in quantum information processing and quantum computation. We provide a general triangle-like inequality satisfied by the -norm measure of coherence for convex combination of arbitrary pure states of a quantum state . Furthermore, we present triangle-like inequality for the convex-roof extended negativity for any states of rank 2, which gives a positive answer to a conjecture raised in [Phys. Rev. A 96, 062308 (2017)]. Detailed examples are given to illustrate the relations characterized by the triangle-like inequalities.
Keywords
Cite
@article{arxiv.1811.08125,
title = {Triangle-like inequalities related to coherence and entanglement negativity},
author = {Zhi-Xiang Jin and Xianqing Li-Jost and Shao-Ming Fei},
journal= {arXiv preprint arXiv:1811.08125},
year = {2018}
}