|
| 1 | +import numpy as np |
| 2 | +from qiskit import QuantumCircuit, execute, Aer |
| 3 | + |
| 4 | +# Define the number of qubits |
| 5 | +num_qubits = 2 |
| 6 | + |
| 7 | +# Create a quantum circuit with the specified number of qubits |
| 8 | +qc = QuantumCircuit(num_qubits) |
| 9 | + |
| 10 | +# Apply a Hadamard gate to the first qubit to create a superposition |
| 11 | +qc.h(0) |
| 12 | + |
| 13 | +# Apply a CNOT gate to entangle the two qubits |
| 14 | +qc.cx(0, 1) |
| 15 | + |
| 16 | +# Apply a time-dependent field to the system |
| 17 | +time = np.linspace(0, 10, 101) |
| 18 | +field_strength = 0.1 * np.sin(2 * np.pi * time) |
| 19 | + |
| 20 | +for t, B in zip(time, field_strength): |
| 21 | + # Apply a rotation around the Z-axis with the time-dependent field strength |
| 22 | + qc.rz(B, 1) |
| 23 | + qc.barrier() |
| 24 | + |
| 25 | +# Measure the qubits |
| 26 | +qc.measure_all() |
| 27 | + |
| 28 | +# Execute the circuit on a simulator |
| 29 | +backend = Aer.get_backend('qasm_simulator') |
| 30 | +job = execute(qc, backend, shots=1024) |
| 31 | +result = job.result() |
| 32 | + |
| 33 | +# Get the measurement counts |
| 34 | +counts = result.get_counts(qc) |
| 35 | + |
| 36 | +# Print the measurement results |
| 37 | +print("Measurement results:") |
| 38 | +for state, count in counts.items(): |
| 39 | + print(f"{state}: {count}") |
| 40 | + |
| 41 | +""" |
| 42 | +Here's a breakdown of the code: |
| 43 | +
|
| 44 | +1. We import the necessary libraries from Qiskit, a popular open-source software development kit for working with quantum computers. |
| 45 | +2. We define the number of qubits to be 2. |
| 46 | +3. We create a quantum circuit with the specified number of qubits. |
| 47 | +4. We apply a Hadamard gate to the first qubit to create a superposition. |
| 48 | +5. We apply a CNOT gate to entangle the two qubits. |
| 49 | +6. We apply a time-dependent field to the system by rotating the second qubit around the Z-axis with a field strength that varies sinusoidally over time. |
| 50 | +7. We measure the qubits and execute the circuit on a simulator. |
| 51 | +8. We print the measurement results, showing the counts for each possible measurement outcome. |
| 52 | +
|
| 53 | +This code can be used as a starting point for quantum sensing applications, where the time-dependent field can be used to probe the environment and detect changes or anomalies. The entanglement between the qubits can enhance the sensitivity of the measurement, making it a powerful tool for various quantum sensing applications. |
| 54 | +""" |
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