Description

This circuit implements Grover's algorithm to find the |11⟩ state in a 2-qubit system.

Qiskit Circuit Code

```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])
```

Quantum Execution Results

{
  "00": 1,
  "01": 9,
  "10": 14,
  "11": 1000
}

{
  "array_shape": "(1024, 1)",
  "array_size": "1024",
  "backend": "ibm_kyiv",
  "counts": {
    "00": 1,
    "01": 9,
    "10": 14,
    "11": 1000
  },
  "execution_time": "unknown",
  "num_bits": 2,
  "num_shots": 1024
}

Download Results