Bad Qubits — Learn Quantum by Doing

|q⟩ Bad Qubits

Multiple choice

Under the ket-to-bra correspondence, if a ket is scaled as

|\psi\rangle \to \alpha|\psi\rangle

with

\alpha

a complex number, how does its dual bra transform?

$\langle\psi| \to (1/\alpha) \langle\psi|$
$\langle\psi| \to \alpha \langle\psi|$ (linear)
$\langle\psi| \to \overline{\alpha} \langle\psi|$ (conjugate-linear)
$\langle\psi| \to |\alpha|^2 \langle\psi|$