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

Keiji Matsumoto·Fumitaka Yura
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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.

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Keiji Matsumoto, Fumitaka Yura. 2003-06-04. Entanglement Cost of Antisymmetric States and Additivity of Capacity of Some Quantum Channel. https://doi.org/10.1088/0305-4470/37/15/l03

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