Entanglement Cost of Antisymmetric States and Additivity of Capacity of Some Quantum Channel

Physics – Quantum Physics

Scientific paper

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revtex 4 pages, no figures, small changes in title and author's affiliation and some typo are corrected

Scientific paper

10.1088/0305-4470/37/15/L03

We study the entanglement cost of the states in the contragredient space,
which consists of $(d-1)$ $d$-dimensional systems. The cost is always $\log_2
(d-1)$ ebits when the state is divided into bipartite $\C^d \otimes
(\C^d)^{d-2}$. Combined with the arguments in \cite{Matsumoto02}, additivity of
channel capacity of some quantum channels is also shown.

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