diff --git a/docs/how_tos/5_how_to_run_circuits_on_Braket_local_backend.ipynb b/docs/how_tos/5_how_to_run_circuits_on_Braket_local_backend.ipynb new file mode 100644 index 00000000..921d2884 --- /dev/null +++ b/docs/how_tos/5_how_to_run_circuits_on_Braket_local_backend.ipynb @@ -0,0 +1,128 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# How-to: run circuit on Braket local backend\n", + "\n", + "This notebook demonstrates running a quantum circuit on the local Braket backend using the Qiskit Braket Provider. It shows the process of defining the backend, creating a simple quantum circuit, running the circuit, and retrieving results.\n", + "\n", + "First let's create a circuit for a Bell state." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qiskit import QuantumCircuit\n", + "from qiskit.visualization import plot_histogram, plot_state_city\n", + "from qiskit_braket_provider import BraketLocalBackend\n", + "\n", + "# Create a Local Backend\n", + "backend = BraketLocalBackend(name=\"default\")\n", + "\n", + "# Create a simple circuit\n", + "circuit = QuantumCircuit(2)\n", + "circuit.h(0)\n", + "circuit.cx(0, 1)" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then we can run the circuit for `shots` times like we do in AWS backends: the difference is that the simulation is running on your computer." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result = backend.run(circuit, shots=2000).result()\n", + "plot_histogram(result.get_counts())" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Setting `shots=0` we are able to get the exact resulting state vector." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result = backend.run(circuit, shots=0).result()\n", + "plot_state_city(result.get_statevector())" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "qiskit-braket-env", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.3" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/qiskit_braket_provider/providers/braket_backend.py b/qiskit_braket_provider/providers/braket_backend.py index a39f79e3..70ae66df 100644 --- a/qiskit_braket_provider/providers/braket_backend.py +++ b/qiskit_braket_provider/providers/braket_backend.py @@ -101,12 +101,13 @@ def control_channel(self, qubits: Iterable[int]): def run( self, run_input: Union[QuantumCircuit, List[QuantumCircuit]], **options ) -> AWSBraketJob: - convert_input = ( [run_input] if isinstance(run_input, QuantumCircuit) else list(run_input) ) circuits: List[Circuit] = list(convert_qiskit_to_braket_circuits(convert_input)) shots = options["shots"] if "shots" in options else 1024 + if shots == 0: + circuits = list(map(lambda x: x.state_vector(), circuits)) tasks = [] try: for circuit in circuits: diff --git a/qiskit_braket_provider/providers/braket_job.py b/qiskit_braket_provider/providers/braket_job.py index 80204d69..fd2a472f 100644 --- a/qiskit_braket_provider/providers/braket_job.py +++ b/qiskit_braket_provider/providers/braket_job.py @@ -41,16 +41,28 @@ def _get_result_from_aws_tasks( for task in tasks: if task.state() in AwsQuantumTask.RESULTS_READY_STATES: result: GateModelQuantumTaskResult = task.result() - counts = { - k[::-1]: v for k, v in dict(result.measurement_counts).items() - } # convert to little-endian - data = ExperimentResultData( - counts=counts, - memory=[ - "".join(shot_result[::-1].astype(str)) - for shot_result in result.measurements - ], - ) + + if result.task_metadata.shots == 0: + statevector = result.values[ + result._result_types_indices[ + "{'type': }" + ] + ] + data = ExperimentResultData( + statevector=statevector, + ) + else: + counts = { + k[::-1]: v for k, v in dict(result.measurement_counts).items() + } # convert to little-endian + + data = ExperimentResultData( + counts=counts, + memory=[ + "".join(shot_result[::-1].astype(str)) + for shot_result in result.measurements + ], + ) else: return None diff --git a/qiskit_braket_provider/providers/braket_provider.py b/qiskit_braket_provider/providers/braket_provider.py index 153b33c7..9862644d 100644 --- a/qiskit_braket_provider/providers/braket_provider.py +++ b/qiskit_braket_provider/providers/braket_provider.py @@ -29,7 +29,6 @@ class AWSBraketProvider(ProviderV1): """ def backends(self, name=None, **kwargs): - if kwargs.get("local"): return [BraketLocalBackend(name="default")] names = [name] if name else None diff --git a/tests/providers/test_braket_backend.py b/tests/providers/test_braket_backend.py index c5ba17d1..61f1b769 100644 --- a/tests/providers/test_braket_backend.py +++ b/tests/providers/test_braket_backend.py @@ -123,6 +123,22 @@ def test_local_backend_circuit(self): _11 = results[1].get_counts()["11"] self.assertEqual(_00 + _11, 1024) + def test_local_backend_circuit_shots0(self): + """Tests local backend with circuit with shots=0.""" + backend = BraketLocalBackend(name="default") + + circuit = QuantumCircuit(2) + circuit.x(0) + circuit.cx(0, 1) + + result = backend.run(circuit, shots=0).result() + + statevector = result.get_statevector() + self.assertEqual(statevector[0], 0.0 + 0.0j) + self.assertEqual(statevector[1], 0.0 + 0.0j) + self.assertEqual(statevector[2], 0.0 + 0.0j) + self.assertEqual(statevector[3], 1.0 + 0.0j) + def test_vqe(self): """Tests VQE.""" local_simulator = BraketLocalBackend(name="default")