# How to create a Quantum circuit to implement the generation of 3-qubit uniform superposition wavefunction

I want to know experimentally or circuit wise diagram to know how to create a circuit that will produce 3-qubit uniform superposition wave function Can somebody help me in that Thank you in advance

• Welcome. What have you done so far? Where are you needing the most help? – Mark S May 31 at 2:33

A uniformly distributed superposition can be prepared by Hadamard gate. If you apply a Hadamard on single qubit in state $$|0\rangle$$ you get state $$\frac{1}{\sqrt{2}}(|0\rangle+|1\rangle)$$. Both states $$|0\rangle$$ and $$|1\rangle$$ are measured with same probability $$50 \%$$.
To prepare uniformly distributed state having $$n$$ qubits, simply apply Hadamard on each of them. This leads to a operator $$H \otimes H \otimes \dots \otimes H = \otimes^nH$$. A state produced by this operation after application on initial state $$|00\cdots00\rangle$$ is
$$\frac{1}{\sqrt{2^n}}\big(|00\dots00\rangle+|00\dots01\rangle + |00\dots10\rangle+\cdots+|11\dots10\rangle+|11\dots11\rangle\big),$$
i.e. all combinations of $$0$$ and $$1$$ on $$n$$ qubits are presented with equal probability.