From 02a571f3dd05750e942a92e9b80b1a6bae76ca38 Mon Sep 17 00:00:00 2001 From: Ryan Hill Date: Wed, 10 Jan 2024 22:25:03 -0600 Subject: [PATCH] add qiskit braket transpiler example --- .../qbraid_sdk_transpiler_braket_qiskit.ipynb | 264 ++++++++++++++++++ 1 file changed, 264 insertions(+) create mode 100644 qbraid_sdk/qbraid_sdk_transpiler_braket_qiskit.ipynb diff --git a/qbraid_sdk/qbraid_sdk_transpiler_braket_qiskit.ipynb b/qbraid_sdk/qbraid_sdk_transpiler_braket_qiskit.ipynb new file mode 100644 index 0000000..5d93252 --- /dev/null +++ b/qbraid_sdk/qbraid_sdk_transpiler_braket_qiskit.ipynb @@ -0,0 +1,264 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "a1e4eca6-7b18-4252-b79a-dc3d511ff2c0", + "metadata": {}, + "outputs": [], + "source": [ + "!pip install qiskit-braket-provider --quiet" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "06a5e7a7-9d41-4a2e-857d-1144e365467c", + "metadata": {}, + "outputs": [], + "source": [ + "from qbraid.transpiler import Conversion, ConversionGraph, convert_to_package" + ] + }, + { + "cell_type": "markdown", + "id": "86f797c9-240f-4b15-a8fd-2916728840b3", + "metadata": {}, + "source": [ + "The qBraid SDK does not support direct conversions between all supported packages. Instead, some conversions, like braket to qiskit, require multiple conversions within the default graph model, e.g. braket $\\rightarrow$ qasm3 $\\rightarrow$ qiskit." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "093bb3cf-f09e-43bc-9869-388482f66b0a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph = ConversionGraph()\n", + "\n", + "graph.plot()" + ] + }, + { + "cell_type": "markdown", + "id": "5ba73198-3ea9-46d2-888d-733f05dad7f2", + "metadata": {}, + "source": [ + "While the qiskit-braket-provider package offers direct conversions, this comes with a trade-off. It eliminates intermediate steps but tends to be more prone to errors, particularly with unsupported gates, compared to the qBraid transpiler. To leverage the best of both, you can integrate the qiskit-braket-provider's direct conversion into the qBraid transpiler's conversion graph. Consequently, when converting from Braket to Qiskit, the transpiler will first try the direct conversion through the qiskit-braket-provider. If this conversion fails, it will automatically revert to one of the other native qBraid conversion paths" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c8a35555-027b-4bf7-a8e3-5175d88efdee", + "metadata": {}, + "outputs": [], + "source": [ + "import logging\n", + "\n", + "logger = logging.getLogger()\n", + "\n", + "logger.setLevel(logging.INFO)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "369d4232-de92-42dd-9475-2e5b6263a6d3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
     ┌───┐     \n",
+       "q_0: ┤ H ├──■──\n",
+       "     └───┘┌─┴─┐\n",
+       "q_1: ─────┤ X ├\n",
+       "          └───┘
" + ], + "text/plain": [ + " ┌───┐ \n", + "q_0: ┤ H ├──■──\n", + " └───┘┌─┴─┐\n", + "q_1: ─────┤ X ├\n", + " └───┘" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from qiskit import QuantumCircuit\n", + "\n", + "qiskit_circuit = QuantumCircuit(2)\n", + "\n", + "qiskit_circuit.h(0)\n", + "qiskit_circuit.cx(0, 1)\n", + "\n", + "qiskit_circuit.draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "db7a6f7a-30ac-4134-9172-a22bc893143b", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:root:\n", + "Successfully transpiled using conversions: qiskit -> qasm3 -> braket\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "T : |0|1|\n", + " \n", + "q0 : -H-C-\n", + " | \n", + "q1 : ---X-\n", + "\n", + "T : |0|1|\n" + ] + } + ], + "source": [ + "braket_circuit = convert_to_package(qiskit_circuit, \"braket\", conversion_graph=graph)\n", + "\n", + "print(braket_circuit)" + ] + }, + { + "cell_type": "markdown", + "id": "b1d0656c-7674-4f6a-9211-e96d20a87a70", + "metadata": {}, + "source": [ + "And now, we can try the same example, but with the direct conversion as a new shortest path" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "b2a3c265-3257-473e-8699-498d83c37ced", + "metadata": {}, + "outputs": [], + "source": [ + "from qiskit_braket_provider.providers.adapter import convert_qiskit_to_braket_circuit" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9e93c97a-ed72-486a-9f48-bf91205d0b55", + "metadata": {}, + "outputs": [], + "source": [ + "conversion = Conversion(\"qiskit\", \"braket\", convert_qiskit_to_braket_circuit)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "24b4186f-658b-4778-80b6-9d902c42d716", + "metadata": {}, + "outputs": [], + "source": [ + "graph.add_conversion(conversion)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "7e29c7b9-5820-49a5-9d36-7bfab5c05440", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "graph.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "241bd084-570d-4a0d-86d4-264dbe97cad2", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:root:\n", + "Successfully transpiled using conversions: qiskit -> braket\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "T : |0|1|\n", + " \n", + "q0 : -H-C-\n", + " | \n", + "q1 : ---X-\n", + "\n", + "T : |0|1|\n" + ] + } + ], + "source": [ + "braket_circuit = convert_to_package(qiskit_circuit, \"braket\", conversion_graph=graph)\n", + "\n", + "print(braket_circuit)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}