In this paper, we first define quantum Jensen-Shannon divergence (QJSD) between quantum states in infinite-dimensional case and discuss its properties. Then, using the probabilistic coupling technique, we further propose the notion of quantum Jensen- Shannon divergence (QJSD) between quantum ensembles. Some fundamental properties of this quantity are also discussed.
Wu, Zhaoqi; Zhang, Shifang; and Zhu, Chuanxi
"Quantum Jensen-Shannon divergence between quantum ensembles,"
Applied Mathematics & Information Sciences: Vol. 06:
3, Article 18.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss3/18