from qiskit import QuantumCircuit
for num_qubits in [1, 3, 8]:
    response = qft_no_swaps(num_qubits)
    assert isinstance(response, QuantumCircuit)
    assert response.num_qubits == num_qubits
    assert response.count_ops().get("swap", 0) == 0

Prompt:
Using Qiskit v1.3, Return an inverse quantum Fourier transform circuit without the swap gates.
You must implement this using a function named `qft_no_swaps` with the following arguments: num_qubits.

You must define a function named `qft_no_swaps` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
for num_qubits in [1, 3, 8]:
    response = qft_no_swaps(num_qubits)
    assert isinstance(response, QuantumCircuit)
    assert response.num_qubits == num_qubits
    assert response.count_ops().get("swap", 0) == 0

Prompt:
Using Qiskit v2.0, Return an inverse quantum Fourier transform circuit without the swap gates.
You must implement this using a function named `qft_no_swaps` with the following arguments: num_qubits.

You must define a function named `qft_no_swaps` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = controlled_custom_unitary_circuit()
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 2
assert len(qc.data) > 0

Prompt:
Using Qiskit v0.43, Create a 2-qubit quantum circuit where you define a custom 1-qubit unitary gate (e.g., U3) and apply it as a controlled gate with qubit 0 as control and qubit 1 as target. Return the final circuit.
You must implement this using a function named `controlled_custom_unitary_circuit` with no arguments.

You must define a function named `controlled_custom_unitary_circuit` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = controlled_custom_unitary_circuit()
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 2
assert len(qc.data) > 0

Prompt:
Using Qiskit v1.3, Create a 2-qubit quantum circuit where you define a custom 1-qubit unitary gate (e.g., U3) and apply it as a controlled gate with qubit 0 as control and qubit 1 as target. Return the final circuit.
You must implement this using a function named `controlled_custom_unitary_circuit` with no arguments.

You must define a function named `controlled_custom_unitary_circuit` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = controlled_custom_unitary_circuit()
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 2
assert len(qc.data) > 0

Prompt:
Using Qiskit v2.0, Create a 2-qubit quantum circuit where you define a custom 1-qubit unitary gate (e.g., U3) and apply it as a controlled gate with qubit 0 as control and qubit 1 as target. Return the final circuit.
You must implement this using a function named `controlled_custom_unitary_circuit` with no arguments.

You must define a function named `controlled_custom_unitary_circuit` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = create_controlled_hgate()
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 3
assert len(qc.data) > 0

Prompt:
Using Qiskit v0.43, Construct a quantum circuit with a three-qubit controlled-Hadamard gate, using qubit 0 and qubit 1 as the control bits and qubit 2 as the target bit. Return the circuit.
You must implement this using a function named `create_controlled_hgate` with no arguments.

You must define a function named `create_controlled_hgate` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = create_controlled_hgate()
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 3
assert len(qc.data) > 0

Prompt:
Using Qiskit v1.3, Construct a quantum circuit with a three-qubit controlled-Hadamard gate, using qubit 0 and qubit 1 as the control bits and qubit 2 as the target bit. Return the circuit.
You must implement this using a function named `create_controlled_hgate` with no arguments.

You must define a function named `create_controlled_hgate` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = create_controlled_hgate()
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 3
assert len(qc.data) > 0

Prompt:
Using Qiskit v2.0, Construct a quantum circuit with a three-qubit controlled-Hadamard gate, using qubit 0 and qubit 1 as the control bits and qubit 2 as the target bit. Return the circuit.
You must implement this using a function named `create_controlled_hgate` with no arguments.

You must define a function named `create_controlled_hgate` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
candidate_circuit = create_custom_controlled()
assert isinstance(candidate_circuit, QuantumCircuit)
assert candidate_circuit.num_qubits == 4
assert len(candidate_circuit.data) > 0

Prompt:
Using Qiskit v0.43, Create a custom 2-qubit gate with an X gate on qubit 0 and an H gate on qubit 1. Then, add two control qubits to this gate. Apply this controlled gate to a 4-qubit circuit, using qubits 0 and 3 as controls and qubits 1 and 2 as targets. Return the final circuit.
You must implement this using a function named `create_custom_controlled` with no arguments.

You must define a function named `create_custom_controlled` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
candidate_circuit = create_custom_controlled()
assert isinstance(candidate_circuit, QuantumCircuit)
assert candidate_circuit.num_qubits == 4
assert len(candidate_circuit.data) > 0

Prompt:
Using Qiskit v1.3, Create a custom 2-qubit gate with an X gate on qubit 0 and an H gate on qubit 1. Then, add two control qubits to this gate. Apply this controlled gate to a 4-qubit circuit, using qubits 0 and 3 as controls and qubits 1 and 2 as targets. Return the final circuit.
You must implement this using a function named `create_custom_controlled` with no arguments.

You must define a function named `create_custom_controlled` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
candidate_circuit = create_custom_controlled()
assert isinstance(candidate_circuit, QuantumCircuit)
assert candidate_circuit.num_qubits == 4
assert len(candidate_circuit.data) > 0

Prompt:
Using Qiskit v2.0, Create a custom 2-qubit gate with an X gate on qubit 0 and an H gate on qubit 1. Then, add two control qubits to this gate. Apply this controlled gate to a 4-qubit circuit, using qubits 0 and 3 as controls and qubits 1 and 2 as targets. Return the final circuit.
You must implement this using a function named `create_custom_controlled` with no arguments.

You must define a function named `create_custom_controlled` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
pauli_strings = ["X", "Y", "Z"]
times = [1.0, 2.0, 3.0]
reps = 1
candidate_circuit = create_product_formula_circuit(pauli_strings, times, reps)
assert isinstance(candidate_circuit, QuantumCircuit)
assert candidate_circuit.num_qubits == 1
assert len(candidate_circuit.data) > 0

Prompt:
Using Qiskit v0.43, Create a quantum circuit using LieTrotter for a list of Pauli strings and times. Each Pauli string is associated with a corresponding time in the 'times' list. The function should return the resulting QuantumCircuit.
You must implement this using a function named `create_product_formula_circuit` with the following arguments: pauli_strings, times, reps.

You must define a function named `create_product_formula_circuit` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
pauli_strings = ["X", "Y", "Z"]
times = [1.0, 2.0, 3.0]
reps = 1
candidate_circuit = create_product_formula_circuit(pauli_strings, times, reps)
assert isinstance(candidate_circuit, QuantumCircuit)
assert candidate_circuit.num_qubits == 1
assert len(candidate_circuit.data) > 0

Prompt:
Using Qiskit v1.3, Create a quantum circuit using LieTrotter for a list of Pauli strings and times. Each Pauli string is associated with a corresponding time in the 'times' list. The function should return the resulting QuantumCircuit.
You must implement this using a function named `create_product_formula_circuit` with the following arguments: pauli_strings, times, reps.

You must define a function named `create_product_formula_circuit` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
pauli_strings = ["X", "Y", "Z"]
times = [1.0, 2.0, 3.0]
reps = 1
candidate_circuit = create_product_formula_circuit(pauli_strings, times, reps)
assert isinstance(candidate_circuit, QuantumCircuit)
assert candidate_circuit.num_qubits == 1
assert len(candidate_circuit.data) > 0

Prompt:
Using Qiskit v2.0, Create a quantum circuit using LieTrotter for a list of Pauli strings and times. Each Pauli string is associated with a corresponding time in the 'times' list. The function should return the resulting QuantumCircuit.
You must implement this using a function named `create_product_formula_circuit` with the following arguments: pauli_strings, times, reps.

You must define a function named `create_product_formula_circuit` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = synthesize_evolution_gate("X", 1.0)
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 1
assert len(qc.data) > 0

Prompt:
Using Qiskit v0.43, Synthesize an evolution gate using MatrixExponential for a given Pauli string and time.
The Pauli string can be any combination of 'I', 'X', 'Y', and 'Z'.
Return the resulting QuantumCircuit.
You must implement this using a function named `synthesize_evolution_gate` with the following arguments: pauli_string, time.

You must define a function named `synthesize_evolution_gate` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = synthesize_evolution_gate("X", 1.0)
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 1
assert len(qc.data) > 0

Prompt:
Using Qiskit v1.3, Synthesize an evolution gate using MatrixExponential for a given Pauli string and time.
The Pauli string can be any combination of 'I', 'X', 'Y', and 'Z'.
Return the resulting QuantumCircuit.
You must implement this using a function named `synthesize_evolution_gate` with the following arguments: pauli_string, time.

You must define a function named `synthesize_evolution_gate` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.


from qiskit import QuantumCircuit
qc = synthesize_evolution_gate("X", 1.0)
assert isinstance(qc, QuantumCircuit)
assert qc.num_qubits == 1
assert len(qc.data) > 0

Prompt:
Using Qiskit v2.0, Synthesize an evolution gate using MatrixExponential for a given Pauli string and time.
The Pauli string can be any combination of 'I', 'X', 'Y', and 'Z'.
Return the resulting QuantumCircuit.
You must implement this using a function named `synthesize_evolution_gate` with the following arguments: pauli_string, time.

You must define a function named `synthesize_evolution_gate` as described above. Return only a complete, runnable Python code block with all necessary imports. Do not include explanations outside the code. Use only standard library imports and the Qiskit SDK.