Bad Qubits — Learn Quantum by Doing

Multiple choice

By Nielsen's theorem, a pure bipartite state

|\psi\rangle

can be deterministically converted to

|\phi\rangle

by LOCC if and only if their sorted Schmidt-coefficient vectors satisfy which relation?

$\lambda_\psi$ and $\lambda_\phi$ have equal Shannon entropy
$\lambda_\psi$ is majorized by $\lambda_\phi$ ( $\lambda_\psi \prec \lambda_\phi$ )
$\lambda_\psi$ and $\lambda_\phi$ are identical
$\lambda_\phi$ is majorized by $\lambda_\psi$ ( $\lambda_\phi \prec \lambda_\psi$ )