B5: Reflection Operator II

Problem Statement

You are given an integer $n$. Implement the operation defined by the following matrix $A$ on a quantum circuit $\mathrm{qc}$ with $n$ qubits:

where $I$ denotes the $2^n \times 2^n$ identity matrix and $\ket{\psi}$ is defined by

Constraints

• $2 \leq n \leq 10$
• Integers must be encoded by little-endian notation, i.e., $\ket{100} = 1 \neq \ket{001}$.
• Global phase is ignored in judge.
• The submitted code must follow the specified format:

from qiskit import QuantumCircuit
 
 
def solve(n: int) -> QuantumCircuit:
    qc = QuantumCircuit(n)
    # Write your code here:
 
    return qc

Sample Input

• $n=2,\ \ket{\psi} = \frac{1}{\sqrt{4}} ( \ket{00} + \ket{10} + \ket{01} + \ket{11})$: The matrix $A$ is calculated as follows.