True / False
On 3 qubits, a stabilizer code has generators g1 = Z0 Z1 and g2 = Z1 Z2. Proposed logical operators are Xbar = X0 X1 X2 and Zbar = Z0. Two Paulis commute iff their symplectic inner product is even. A valid logical pair must commute with every stabilizer generator while anticommuting with each other. Does this pair (Xbar, Zbar) qualify as valid logical operators?