Boundary effect of deterministic dense coding
Zhengfeng Ji, Yuan Feng, Runyao Duan, Mingsheng Ying · Physical Review A · 2006
We present a rigorous proof of an interesting boundary effect of deterministic dense coding first observed by S. Mozes, J. Oppenheim, and B. Reznik [Phys. Rev. A 71, 012311 (2005)]. Namely, it is shown that ${d}^{2}\ensuremath{-}1$ cannot be the maximal alphabet size of any isometric deterministic dense coding schemes utilizing $d$-level partial entanglement.