MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Coherence Concurrence for X States

Ming-Jing Zhao, Teng Ma, Zhen Wang, Shao-Ming Fei and Rajesh Pereira


We study the properties of coherence concurrence and present a physical explanation analogous to the coherence of assistance. We give an optimal pure state decomposition which attains the coherence concurrence for qubit states. We prove the additivity of coherence concurrence under direct sum operations in another way. Based on these, we calculate analytically the coherence concurrence for X states and show its optimal decompositions. Moreover, we show that the coherence concurrence is exactly twice the convex roof extended negativity of the Schmidt correlated states, thus establishing a direct relation between coherence concurrence and quantum entanglement.


Related publications

2020 Repository Open Access
Ming-Jing Zhao, Teng Ma, Zhen Wang, Shao-Ming Fei and Rajesh Pereira

Coherence concurrence for X states

In: Quantum information processing, 19 (2020) 3, p. 104