When applying the Hadamard gate to a qubit in the |0⟩ state, what is the resulting state vector?

Applying the Hadamard gate to a qubit in the |0⟩ state results in the state vector 1/sqrt(2)|0⟩ + 1/sqrt(2)|1⟩. The Hadamard gate is a fundamental quantum logic gate that creates a state of superposition, where the qubit exists as both 0 and 1 simultaneously. The state |0⟩ represents the qubit's ground state, often vis....