Quantum Computing.
Hadamard gate acting on just one qbit. The unitary transformation describing this gate is just the sum of two Pauli gates U_H = (√2)-1 (σ_X + σ_Z) = (√2)-1((|0⟩+|1⟩) ⟨0| + (|0⟩-|1⟩)⟨1|)) with this circuit symbol If the input qbit state is |0⟩ the Hadamard gate evolves the qbit state to U_H |0⟩ =