|q⟩
Bad Qubits
Play
Quest
Questions
Learn
Playground
☕
← Question Bank
Multiple choice
An operator
A
A
A
is linear when it satisfies
A
(
α
∣
ψ
⟩
+
β
∣
ϕ
⟩
)
=
α
A
∣
ψ
⟩
+
β
A
∣
ϕ
⟩
A(\alpha|\psi\rangle + \beta|\phi\rangle) = \alpha A|\psi\rangle + \beta A|\phi\rangle
A
(
α
∣
ψ
⟩
+
β
∣
ϕ
⟩)
=
α
A
∣
ψ
⟩
+
β
A
∣
ϕ
⟩
. The operation 'take the complex conjugate of every amplitude' is best described as which of the following?
Antilinear: it satisfies additivity but fails homogeneity over the complex numbers
Hermitian: it equals its own adjoint with real eigenvalues
Unitary: it preserves all inner products
Linear: it satisfies both additivity and homogeneity
Check answer