Coherence of Assistance and Regularized Coherence of Assistance

Ming-Jing Zhao, Teng Ma, and Shao-Ming Fei

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Submission date: 06. Feb. 2018
Pages: 14
published in: Physical review / A, 96 (2017) 6, art-no. 062332 
DOI number (of the published article): 10.1103/PhysRevA.96.062332
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Abstract:
We study the relation between the coherence of assistance and the regularized coherence of assistance introduced in [Phys. Rev. Lett. 116, 070402 (2016)]. The necessary and sufficient conditions that these two quantities coincide are provided. Detailed examples are analyzed and the optimal pure state decompositions such that the coherence of assistance equals to the regularized coherence of assistance are derived. Moreover, we present the protocol for obtaining the maximal relative entropy coherence, assisted by another party under local measurement and one-way communication in one copy setting.