Partial transpose of a maximally entangled projector
= Partial transpose of a maximally entangled projector
{title2=$(|\Phi_d\rangle\langle\Phi_d|)^{T_B}=S/d$}
For $|\Phi_d\rangle=d^{-1/2}\sum_j|jj\rangle$, the <partial transpose> of its <pure state> projector is $S/d$, where $S$ is the <swap operator>. Expand in matrix units: $|i\rangle\langle j|\otimes|i\rangle\langle j|$ becomes $|i\rangle\langle j|\otimes|j\rangle\langle i|$.