Which one of the following are stabilizer states of X⊗Z⊗Z𝑋⊗𝑍⊗𝑍 ?Group of answer choices|+00⟩|+00⟩ |+01⟩|+01⟩ |−10⟩|−10⟩ |−11⟩|−11⟩

The stabilizer states of X⊗Z⊗Z are |+00⟩ and |-00⟩.

Here's why:

The X operator flips the sign of the state it acts on, while the Z operator leaves the sign of the state unchanged. Therefore, the states that are stabilized by X⊗Z⊗Z are those that remain unchanged when the X operator acts on the first qubit and the Z operator acts on the second and third qubits.

The state |+00⟩ is stabilized because the X operator flips the sign of the first qubit, resulting in |-00⟩, and the Z operators leave the sign of the second and third qubits unchanged.

Similarly, the state |-00⟩ is stabilized because the X operator flips the sign of the first qubit, resulting in |+00⟩, and the Z operators leave the sign of the second and third qubits unchanged.

The states |+01⟩, |-01⟩, |+10⟩, |-10⟩, |+11⟩, and |-11⟩ are not stabilized by X⊗Z⊗Z because the Z operator would flip the sign of the second and/or third qubits in these states.