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Boundary effect of deterministic dense coding

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arxiv quant-ph/0601136 v1 pith:ZOBIINFV submitted 2006-01-20 quant-ph

Boundary effect of deterministic dense coding

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keywords codingdensedeterministicboundaryeffectalphabetcannotentanglement
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We present a rigorous proof of an interesting boundary effect of deterministic dense coding first observed by Mozes et al. [Phys. Rev. A 71, 012311 (2005)]. Namely, it is shown that $d^2-1$ cannot be the maximal alphabet size of any isometric deterministic dense coding schemes utilizing $d$-level partial entanglement.

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