A4: Generate state $\frac{1}{\sqrt{3}} (\ket{0} + \ket{1} + \ket{2}))$ I

Problem Statement

Implement the operation of preparing the state $\ket{\psi}$ from the zero state on a quantum circuit $\mathrm{qc}$ with $2$ qubits.
The state $\ket{\psi}$ is defined as

where $a_0$, $a_1$, and $a_2$ denote arbitrary non-zero probability amplitudes (any values are permitted).

Constraints

• Changes in the global phase are ignored.
  
• The submitted code must follow the specified format:

from qiskit import QuantumCircuit
 
 
def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
 
    return qc