Remote information concentration via W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W$$\end{document} state: reverse of ancilla-free phase-covariant telecloning

In this paper, we investigate generalized remote information concentration as the reverse process of ancilla-free phase-covariant telecloning (AFPCT) which is different from the reverse process of optimal universal telecloning. It is shown that the quantum information via 1→2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1\rightarrow 2$$\end{document} AEPCT procedure can be remotely concentrated back to a single qubit with a certain probability by utilizing (non-)maximally entangled W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W$$\end{document} states as quantum channels. Our protocols are the generalization of Wang’s scheme (Open J Microphys 3:18–21. doi:10.4236/ojm.2013.31004, 2013). And von Neumann measure and positive operator-valued measurement are performed in the maximal and non-maximal cases respectively. Relatively the former, the dimension of measurement space in the latter is greatly reduced. It makes the physical realization easier and suitable.