Quantum, Quantum Computing, Algebra, Logic Gates.
the same matrix M by a scalar λ. M|v⟩=λ|v⟩ Any vector |v> that has this property, is called an Eigenvector of the matrix M. Consider the following example, where: Z|0⟩=|0⟩ Z|1⟩=−|1⟩ From the results, we conclude that the qubit states |0> and |1> are Eigenvectors of the Pauli Z-matrix. Since our