This circuit implements Grover's algorithm to find the |11⟩ state in a 2-qubit system.
```python
from qiskit import QuantumCircuit
# Create a quantum circuit with 2 qubits and 2 classical bits
qc = QuantumCircuit(2, 2)
# Apply Hadamard gates to both qubits to create superposition
qc.h(0)
qc.h(1)
# Oracle: Flip the sign of the |11⟩ state
qc.cz(0, 1)
# Apply Hadamard gates again
qc.h(0)
qc.h(1)
# Apply X gates to both qubits
qc.x(0)
qc.x(1)
# Apply Hadamard, CNOT, and Hadamard gates for the Grover diffuser
qc.h(1)
qc.cx(0, 1)
qc.h(1)
# Apply X gates again
qc.x(0)
qc.x(1)
# Apply Hadamard gates to complete the diffusion operator
qc.h(0)
qc.h(1)
# Measure the qubits
qc.measure([0, 1], [0, 1])
```
{
"00": 1,
"01": 9,
"10": 14,
"11": 1000
}