



@article {1707,
	title = {Quantifying the coherence of pure quantum states},
	journal = {Physical Review A},
	volume = {94},
	year = {2016},
	month = {2016/10/07},
	pages = {042313},
	abstract = {<p>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, and we affirm a recent conjecture that the l1 measure of coherence of a pure state is never smaller than its relative entropy of coherence. We then use our result to show that the states maximizing the trace distance of coherence are exactly the maximally coherent states, and we derive a new inequality relating the negativity and distillable entanglement of pure states.</p>},
	doi = {10.1103/PhysRevA.94.042313},
	url = {https://doi.org/10.1103/PhysRevA.94.042313},
	author = {Jianxin Chen and Nathaniel Johnston and Chi-Kwong Li and Sarah Plosker}
}
@article {1462,
	title = {Discontinuity of Maximum Entropy Inference and Quantum Phase Transitions},
	journal = {New Journal of Physics},
	volume = {17},
	year = {2015},
	month = {2015/08/10},
	pages = {083019},
	abstract = {  In this paper, we discuss the connection between two genuinely quantum
phenomena --- the discontinuity of quantum maximum entropy inference and
quantum phase transitions at zero temperature. It is shown that the
discontinuity of the maximum entropy inference of local observable measurements
signals the non-local type of transitions, where local density matrices of the
ground state change smoothly at the transition point. We then propose to use
the quantum conditional mutual information of the ground state as an indicator
to detect the discontinuity and the non-local type of quantum phase transitions
in the thermodynamic limit.
},
	doi = {10.1088/1367-2630/17/8/083019},
	url = {http://arxiv.org/abs/1406.5046v2},
	author = {Jianxin Chen and Zhengfeng Ji and Chi-Kwong Li and Yiu-Tung Poon and Yi Shen and Nengkun Yu and Bei Zeng and Duanlu Zhou}
}
