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Physical Review A

Boundary effect of deterministic dense coding (3 pages)

Mengyun Ying, Ran Duan, Yongxiang Feng, Zhiqiang Ji

Published Jan 1, 2006• 0 citations

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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.

arXiv:quant-ph/0601136•Physical Review A•Mar 20, 2006•17 citations

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.