  This report gives a lower bound of entanglement cost for antisymmetric states
of bipartite d-level systems to be log_2 (d/(d-1)) ebit (for d=3, E_c >=
0.585...). The paper quant-ph/0112131 claims that the value is equal to one
ebit for d=3, since all of the eigenvalues of reduced matrix of any pure states
living in N times tensor product of antisymmetric space is not greater than
2^(-N) thus the von Neumann entropy is not less than N, but the proof is not
true. Hence whether the value is equal to or less than one ebit is not clear at
this moment.
