State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China.
State Key Laboratory of Information Security, (Institute of Information Engineering, Chinese Academy of Sciences), Beijing, 100093, China.
Sci Rep. 2017 Jun 21;7(1):4006. doi: 10.1038/s41598-017-03885-5.
Quantum coherence plays a major role in the promotion for quantum information processing and designing quantum technology. Since coherence is rooted in superposition principle, it is vital to understand the coherence change with respect to superpositions. Here we study the bounds for coherence of quantum superpositions in high dimension. We consider three most frequently used measures of coherence, i.e. the relative entropy of coherence, l norm of coherence and robustness of coherence. For a quantum state (an arbitrary dimension) and its arbitrary decomposition, we give the upper and lower bounds for coherence of the superposition state in terms of the coherence of the states being superposed.
量子相干在促进量子信息处理和设计量子技术方面发挥着重要作用。由于相干性源于叠加原理，因此理解相干性随叠加的变化至关重要。在这里，我们研究了高维量子叠加的相干性界限。我们考虑了三种最常用的相干度量，即相干相对熵、l 范数的相干性和相干稳健性。对于一个量子态（任意维度）及其任意分解，我们给出了叠加态相干性的上界和下界，以任意叠加态的相干性为条件。
