2015/03/31 by Shuanping Du, Zhaofang Bai, Yu Guo · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.91.052120
arXiv admin note: text overlap with arXiv:1311.0275 by other authors. 03.65.Ud, 03.67.Ta. in Physical Review A 2015
arxiv created 2016/05/20 · arxiv updated 2016/05/23
We build the counterpart of the celebrated Nielsen's theorem for coherence manipulation in this paper. This offers an affirmative answer to the open question: whether, given two states ρ and σ, either ρ can be transformed into σ or vice versa under incoherent operations [Phys. Rev. Lett. 113, 140401(2014)]. As a consequence, we find that there exist essentially different types of coherence. Moreover, incoherent operations can be enhanced in the presence of certain coherent states. These extra states are coherent catalysts: they allow uncertain incoherent operations to be realized, without being consumed in any way. Our main result also sheds a new light on the construction of coherence measures.