Phase boundaries in deterministic dense coding

Details Phase boundaries in deterministic dense coding Phase boundaries in deterministic dense coding

2008-10-20

arxiv.org/abs/0810.3608v1

Physics

Quantum Physics

7 pages, 1 figure

Scientific paper

10.1103/PhysRevA.79.032307

We consider dense coding with partially entangled states on bipartite systems of dimension $d\times d$, studying the conditions under which a given number of messages, $N$, can be deterministically transmitted. It is known that the largest Schmidt coefficient, $\lambda_0$, must obey the bound $\lambda_0\le d/N$, and considerable empirical evidence points to the conclusion that there exist states satisfying $\lambda_0=d/N$ for every $d$ and $N$ except the special cases $N=d+1$ and $N=d^2-1$. We provide additional conditions under which this bound cannot be reached -- that is, when it must be that $\lambda_0

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