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A5: Generate state 13(∣0⟩+∣1⟩+∣2⟩))\frac{1}{\sqrt{3}} (\ket{0} + \ket{1} + \ket{2})) II

Time Limit: 3 seconds

Memory Limit: 512 MiB

Score: 100 points

Problem Statement

Implement the operation of preparing the state ∣ψ⟩\ket{\psi} from the zero state on a quantum circuit qc\mathrm{qc} with 22 qubits.

The state ∣ψ⟩\ket{\psi} is defined as

∣ψ⟩=13(∣0⟩+∣1⟩+∣2⟩)=13(∣00⟩+∣10⟩+∣01⟩).\begin{equation} \ket{\psi} = \frac{1}{\sqrt{3}} (\ket{0} + \ket{1} + \ket{2}) = \frac{1}{\sqrt{3}} (\ket{00} + \ket{10} + \ket{01}). \nonumber \end{equation}

Constraints

  • Global phase is ignored in judge.
  • The submitted code must follow the specified format:
from qiskit import QuantumCircuit
 
 
def solve() -> QuantumCircuit:
    qc = QuantumCircuit(2)
    # Write your code here:
 
    return qc

Hints

Open
  • You can import the math library if necessary. Please refer to the Q&A for available libraries.
import math

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