{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\"Note: Trusted Notebook\" width=\"500 px\" align=\"left\">" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The latest version of this notebook is available on https://github.com/Qiskit/qiskit-tutorial." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Writing a Transpiler Pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A central component of Qiskit Terra is the transpiler, which is designed for modularity and extensibility. The goal is to be able to easily write new circuit transformations (known as transpiler *passes*), and combine them with other existing passes. In this way, the transpiler opens up the door for research into aggressive optimization of quantum circuits.\n", "\n", "In this notebook, we show how to develop a simple transpiler pass. To do so, we first introduce the internal representation of quantum circuits in Qiskit, in the form of a Directed Acyclic Graph or DAG. Then, we illustrate a simple swap mapper pass, which transforms an input circuit to be compatible with a limited-connectivity quantum device." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducing the DAG" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Qiskit, we represent circuits internally using a Directed Acyclic Graph or **DAG**. The advantage of this representation over a pure list of gates (i.e. *netlist*) is that the flow of information between operations are explicit, making it easier for passes to make transformation decisions without changing the semantics of the circuit.\n", "\n", "Let's start by building a simple circuit, and examining its DAG." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
        ┌───┐     ┌─┐           \n",
       "q_0: |0>┤ H ├──■──┤M├───────────\n",
       "        └───┘┌─┴─┐└╥┘┌─────────┐\n",
       "q_1: |0>─────┤ X ├─╫─┤ Rz(0.5) ├\n",
       "             └───┘ ║ └────┬────┘\n",
       "q_2: |0>───────────╫──────┼─────\n",
       "                   ║   ┌──┴──┐  \n",
       " c_0: 0 ═══════════╩═══╡     ╞══\n",
       "                       │     │  \n",
       " c_1: 0 ═══════════════╡ = 2 ╞══\n",
       "                       │     │  \n",
       " c_2: 0 ═══════════════╡     ╞══\n",
       "                       └─────┘  
" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumRegister, ClassicalRegister, QuantumCircuit\n", "from qiskit.dagcircuit import DAGCircuit\n", "q = QuantumRegister(3, 'q')\n", "c = ClassicalRegister(3, 'c')\n", "circ = QuantumCircuit(q, c)\n", "circ.h(q[0])\n", "circ.cx(q[0], q[1])\n", "circ.measure(q[0], c[0])\n", "circ.rz(0.5, q[1]).c_if(c, 2)\n", "circ.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the DAG, there are 3 kinds of graph nodes: qubit/clbit input nodes (green), operation nodes (blue), and output nodes (red). Each edge indicates data flow (or dependency) between two nodes. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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zoGji0tmzAEVux3vfPkQt2uCtdkogu8yPu+ZE47pe+ElBP2Cm7T5LwJRiYJbR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"text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.converters import circuit_to_dag\n", "from qiskit.tools.visualization import dag_drawer\n", "dag = circuit_to_dag(circ)\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Therefore, writing a transpiler pass means using Qiskit's DAGCircuit API to analyze or transform the circuit. Let's see some examples of this." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**a. Get all op nodes in the DAG:**" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dag.op_nodes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each node is an instance of the ``DAGNode`` class. Let's examine the information stored in the second op node." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "node name: rz\n", "node op: \n", "node qargs: [(QuantumRegister(3, 'q'), 1)]\n", "node cargs: []\n", "node condition: (ClassicalRegister(3, 'c'), 2)\n" ] } ], "source": [ "node = dag.op_nodes()[3]\n", "print(\"node name: \", node.name)\n", "print(\"node op: \", node.op)\n", "print(\"node qargs: \", node.qargs)\n", "print(\"node cargs: \", node.cargs)\n", "print(\"node condition: \", node.condition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**b. Add an operation to the back:**" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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SP5vE8aQyhhIb116lVJQST1j5m7w+JVOI3TPwShdt9LGEQsJDMH/0fMJFHWDq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\nzTEv0rAPA4nDZkBGfi1FoHLlyopemV3TCuVuBJx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GdnyGXgZ/onKdcDxZpz6iImkr86CX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Wq6Z231lUyZ1nbt2rUDP85NhQoV0tFHolnt5b7C7CWLAJ3O4IUJFYMRp5Yfw/AiTxSQUCYfbnDK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\ndmoJAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.extensions.standard import HGate\n", "dag.apply_operation_back(HGate(), qargs=[q[0]])\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**c. Add an operation to the front:**" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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gHRJ1pKak4pfZ35qz3L7GUogpCsgtJAhkWQSEKRt46dl/RLUaCv7Z4V6YpSbt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1NWkD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\n", "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.extensions.standard import ToffoliGate\n", "dag.apply_operation_front(ToffoliGate(), qargs=[q[0], q[1], q[2]], cargs=[])\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**d. Substitute a node with a subcircuit:**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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+zoqtnugm/zckUYYkkI7JaV7r7v/OnwlHnjzutqLXKwElEGgE3NdSgXZHXhhP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\n6JuHBlNk7hs2bFDMn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"text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.extensions.standard import CHGate, U2Gate, CnotGate\n", "mini_dag = DAGCircuit()\n", "p = QuantumRegister(2, \"p\")\n", "mini_dag.add_qreg(p)\n", "mini_dag.apply_operation_back(CHGate(), qargs=[p[1], p[0]])\n", "mini_dag.apply_operation_back(U2Gate(0.1, 0.2), qargs=[p[1]])\n", "\n", "# substitute the cx node with the above mini-dag\n", "cx_node = dag.op_nodes(op=CnotGate).pop()\n", "dag.substitute_node_with_dag(node=cx_node, input_dag=mini_dag, wires=[p[0], p[1]])\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, after all transformations are complete, we can convert back to a regular QuantumCircuit object.\n", "This is what the transpiler does! It takes a circuit, operates on it in DAG form, and outputs a transformed circuit." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
             ┌───┐┌───┐┌─┐                  ┌───┐   \n",
       "q_0: |0>──■──┤ H ├┤ H ├┤M├──────────────────┤ H ├───\n",
       "          │  └───┘└─┬─┘└╥┘┌─────────────┐┌──┴───┴──┐\n",
       "q_1: |0>──■─────────■───╫─┤ U2(0.1,0.2) ├┤ Rz(0.5) ├\n",
       "        ┌─┴─┐           ║ └─────────────┘└────┬────┘\n",
       "q_2: |0>┤ X ├───────────╫─────────────────────┼─────\n",
       "        └───┘           ║                  ┌──┴──┐  \n",
       " c_0: 0 ════════════════╩══════════════════╡     ╞══\n",
       "                                           │     │  \n",
       " c_1: 0 ═══════════════════════════════════╡ = 2 ╞══\n",
       "                                           │     │  \n",
       " c_2: 0 ═══════════════════════════════════╡     ╞══\n",
       "                                           └─────┘  
" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.converters import dag_to_circuit\n", "circuit = dag_to_circuit(dag)\n", "circuit.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementing a BasicMapper Pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we are familiar with the DAG, let's use it to write a transpiler pass. Here we will implement a basic pass for mapping an arbitrary circuit to a device with limited qubit connectivity. We will call this the BasicMapper. This pass is included in Qiskit Terra as well.\n", "\n", "The first thing to do when writing a transpiler pass is to decide whether the pass class derives from a ``TransformationPass`` or ``AnalysisPass``. Transformation passes modify the circuit, while analysis passes only collect information about a circuit (to be used by other passes). Then, the ``run(dag)`` method is implemented which does the main task. Finally, the pass has to be registered inside the ``qiskit.transpiler.passes`` module.\n", "\n", "This pass functions as follows: it traverses the dag layer-by-layer (each layer is a group of operations that does not acts on independent qubits, so in theory all operations in a layer can be done independently). For each operation, if it does not already meet the coupling map constraints, the pass identifies a swap path and inserts swaps to bring the two qubits close to each other.\n", "\n", "Follow the comments in the code for more details." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from copy import copy\n", "\n", "from qiskit.transpiler.basepasses import TransformationPass\n", "from qiskit.transpiler import Layout\n", "from qiskit.extensions.standard import SwapGate\n", "\n", "\n", "class BasicSwap(TransformationPass):\n", " \"\"\"\n", " Maps (with minimum effort) a DAGCircuit onto a `coupling_map` adding swap gates.\n", " \"\"\"\n", "\n", " def __init__(self,\n", " coupling_map,\n", " initial_layout=None):\n", " \"\"\"\n", " Maps a DAGCircuit onto a `coupling_map` using swap gates.\n", " Args:\n", " coupling_map (CouplingMap): Directed graph represented a coupling map.\n", " initial_layout (Layout): initial layout of qubits in mapping\n", " \"\"\"\n", " super().__init__()\n", " self.coupling_map = coupling_map\n", " self.initial_layout = initial_layout\n", "\n", " def run(self, dag):\n", " \"\"\"\n", " Runs the BasicSwap pass on `dag`.\n", " Args:\n", " dag (DAGCircuit): DAG to map.\n", "\n", " Returns:\n", " DAGCircuit: A mapped DAG.\n", "\n", " Raises:\n", " TranspilerError: if the coupling map or the layout are not\n", " compatible with the DAG\n", " \"\"\"\n", " new_dag = DAGCircuit()\n", "\n", " if self.initial_layout is None:\n", " if self.property_set[\"layout\"]:\n", " self.initial_layout = self.property_set[\"layout\"]\n", " else:\n", " self.initial_layout = Layout.generate_trivial_layout(*dag.qregs.values())\n", "\n", " if len(dag.qubits()) != len(self.initial_layout):\n", " raise TranspilerError('The layout does not match the amount of qubits in the DAG')\n", "\n", " if len(self.coupling_map.physical_qubits) != len(self.initial_layout):\n", " raise TranspilerError(\n", " \"Mappers require to have the layout to be the same size as the coupling map\")\n", "\n", " current_layout = self.initial_layout.copy()\n", "\n", " for layer in dag.serial_layers():\n", " subdag = layer['graph']\n", "\n", " for gate in subdag.twoQ_gates():\n", " physical_q0 = current_layout[gate.qargs[0]]\n", " physical_q1 = current_layout[gate.qargs[1]]\n", " if self.coupling_map.distance(physical_q0, physical_q1) != 1:\n", " # Insert a new layer with the SWAP(s).\n", " swap_layer = DAGCircuit()\n", "\n", " path = self.coupling_map.shortest_undirected_path(physical_q0, physical_q1)\n", " for swap in range(len(path) - 2):\n", " connected_wire_1 = path[swap]\n", " connected_wire_2 = path[swap + 1]\n", "\n", " qubit_1 = current_layout[connected_wire_1]\n", " qubit_2 = current_layout[connected_wire_2]\n", "\n", " # create qregs\n", " for qreg in current_layout.get_registers():\n", " if qreg not in swap_layer.qregs.values():\n", " swap_layer.add_qreg(qreg)\n", "\n", " # create the swap operation\n", " swap_layer.apply_operation_back(SwapGate(),\n", " qargs=[qubit_1, qubit_2],\n", " cargs=[])\n", "\n", " # layer insertion\n", " edge_map = current_layout.combine_into_edge_map(self.initial_layout)\n", " new_dag.compose_back(swap_layer, edge_map)\n", "\n", " # update current_layout\n", " for swap in range(len(path) - 2):\n", " current_layout.swap(path[swap], path[swap + 1])\n", "\n", " edge_map = current_layout.combine_into_edge_map(self.initial_layout)\n", " new_dag.extend_back(subdag, edge_map)\n", "\n", " return new_dag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's test this pass on a small example circuit." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "q = QuantumRegister(7, 'q')\n", "in_circ = QuantumCircuit(q)\n", "in_circ.h(q[0])\n", "in_circ.cx(q[0], q[4])\n", "in_circ.cx(q[2], q[3])\n", "in_circ.cx(q[6], q[1])\n", "in_circ.cx(q[5], q[0])\n", "in_circ.rz(0.1, q[2])\n", "in_circ.cx(q[5], q[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we construct a pass manager that contains our new pass. We pass the example circuit above to this pass manager, and obtain a new, transformed circuit." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from qiskit.transpiler import PassManager\n", "from qiskit.transpiler import CouplingMap\n", "from qiskit import BasicAer\n", "pm = PassManager()\n", "coupling = [[0, 1], [1, 2], [2, 3], [3, 4], [4, 5], [5, 6]]\n", "coupling_map = CouplingMap(couplinglist=coupling)\n", "\n", "pm.append([BasicSwap(coupling_map)])\n", "\n", "out_circ = pm.run(in_circ)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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mZmLLli2IiIhAQkKCUevx8vIyyvW+5mT+/PnYunUrxowZg+7duwMARo0ahdzc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\nog1bIiIiSyGaCVJERESWimFLREQkMIY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"text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "in_circ.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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auHHjxk0b2759+2BkZIQ+ffogMzNT9Z747bff6r22mrZ79+5h6NChMDAwwMaN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\nw/Xr12tdV21gYIDIyEgdVlW3yMjIWv8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"text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "out_circ.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that this pass only inserts the swaps necessary to make every two-qubit interaction conform to the device coupling map. It does not, for example, care about the direction of interactions, or the native gate set supported by the device. This is a design philosophy of Qiskit's transpiler: every pass performs a small, well-defined action, and the aggressive circuit optimization is achieved by the pass manager through combining multiple passes." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }