QCoder

Problem Statement

You are given an integer $n$ . Implement the operation of preparing the uniform superposition state $\ket{A}$ from the zero state on a quantum circuit $\mathrm{qc}$ with $n$ qubits.

The uniform superposition state $\ket{A}$ is defined as

\begin{align} \ket{A} &= \frac{1}{\sqrt{2^n}} \sum_{i=0}^{2^n-1} \ket{i} \nonumber\\ & = \frac{1}{\sqrt{2^n}} (\ket{0...0}_n + ... + \ket{1...1}_n). \nonumber \end{align}

Constraints

$1 \leq n \leq 10$
Global phase is ignored in judge.
The submitted code must follow the specified format: ((format to be added during rendering))

Sample Input

$n = 2$ : Implemented circuit $\mathrm{qc}$ should perform the following transformation.

\ket{00} \xrightarrow{\mathrm{qc}} \frac{1}{\sqrt{4}} (\ket{00} + \ket{10} + \ket{01} + \ket{11})

Hints

Open

You can apply the quantum gate $g$ to all the qubits of the quantum circuit $\mathrm{qc}$ as follows:

qc.g(range(n))

A2: Generate Uniform Superposition State

Problem Statement

Constraints

Sample Input

Hints