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

Abstract

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.

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

References in corpus (1)

• Entanglement Cost of Three-Level Antisymmetric States

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