{ "cells": [ { "cell_type": "markdown", "id": "4de02100-ba7b-4ac3-8e92-f94844073337", "metadata": {}, "source": [ "# Slicing circuits using ``qiskit_addon_utils.slicing``\n", "\n", "Qiskit loosely describes [layers](https://docs.quantum.ibm.com/api/qiskit/qiskit.dagcircuit.DAGCircuit) as being depth-1 partitions of the circuit across all qubits. Some Qiskit addons make use of the term **slices** to describe layers of arbitrary depth. More concretely, slices can be defined as time-like partitions of a [QuantumCircuit](https://docs.quantum.ibm.com/api/qiskit/qiskit.circuit.QuantumCircuit) which span all qubits. Similar to layers, composing all slices of a `QuantumCircuit` produces a circuit which is semantically equivalent to the original." ] }, { "cell_type": "markdown", "id": "9f419feb-5d35-489e-909c-c8e7ea2caaec", "metadata": {}, "source": [ "The [qiskit_addon_utils.slicing](https://qiskit.github.io/qiskit-addon-utils/stubs/qiskit_addon_utils.slicing.html) module provides a few utilities for partitioning ``QuantumCircuit``s into slices. This is for example useful for [operator backpropagation](https://github.com/qiskit/qiskit-addon-obp/) We will give an overview of those tools in this guide.\n", "\n", "**Note:** Throughout this guide, we will slice the circuit and use [qiskit_addon_utils.slicing.combine_slices](https://qiskit.github.io/qiskit-addon-utils/stubs/qiskit_addon_utils.slicing.combine_slices.html) to recombine the slices with barriers to make it easier to visualize the slices." ] }, { "cell_type": "markdown", "id": "c6c74021-216c-43fd-b37a-91817e3d3978", "metadata": {}, "source": [ "First, we'll create a circuit from which we'll create slices." ] }, { "cell_type": "code", "execution_count": 1, "id": "9da8d173-8ce9-47a9-a24f-ab32e45f8337", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from qiskit import QuantumCircuit\n", "\n", "num_qubits = 9\n", "qc = QuantumCircuit(num_qubits)\n", "qc.ry(np.pi / 4, range(num_qubits))\n", "qubits_1 = [i for i in range(num_qubits) if i % 2 == 0]\n", "qubits_2 = [i for i in range(num_qubits) if i % 2 == 1]\n", "qc.cx(qubits_1[:-1], qubits_2)\n", "qc.cx(qubits_2, qubits_1[1:])\n", "qc.cx(qubits_1[-1], qubits_1[0])\n", "qc.rx(np.pi / 4, range(num_qubits))\n", "qc.rz(np.pi / 4, range(num_qubits))\n", "qc.draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "markdown", "id": "968d1e85-ab12-4383-865f-f0199308a9f2", "metadata": {}, "source": [ "In the case where there is no clear way to exploit the structure of the circuit for back-propagation, a user may wish to simply partition their circuit into slices of a given depth. Here, we'll separate this circuit into depth-1 slices." ] }, { "cell_type": "code", "execution_count": 2, "id": "f883fa2e-f943-4c49-af45-fb26cadb72b6", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_utils.slicing import combine_slices, slice_by_depth\n", "\n", "slices = slice_by_depth(qc, 1)\n", "combined_slices = combine_slices(slices, include_barriers=True)\n", "combined_slices.draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "markdown", "id": "4debef73-ba54-4eb1-887c-df6d022c9082", "metadata": {}, "source": [ "Now let's try depth-2." ] }, { "cell_type": "code", "execution_count": 3, "id": "bc5ebecb-6c8b-4f51-8199-b236a0ba3328", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slices = slice_by_depth(qc, 2)\n", "combined_slices = combine_slices(slices, include_barriers=True)\n", "combined_slices.draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "markdown", "id": "482bc11c-47a3-45ba-9633-98bcca5b44a9", "metadata": {}, "source": [ "In many cases, such as Trotter circuits, it may be advantageous to slice by gate type. Slices holding a given gate type will be further split out into depth-1 slices, as there is little downside in doing so." ] }, { "cell_type": "code", "execution_count": 4, "id": "1a5d5aff-f988-4f14-ad25-9f0105202b77", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_utils.slicing import slice_by_gate_types\n", "\n", "slices = slice_by_gate_types(qc)\n", "combined_slices = combine_slices(slices, include_barriers=True)\n", "combined_slices.draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "markdown", "id": "5e389e7e-1d29-4e9c-b44e-a5182da5cb5b", "metadata": {}, "source": [ "If your circuit was designed to exploit the physical qubit connectivity, you may want to create slices based on an edge coloring. Here, we will assign a 3-coloring to the circuit edges and slice the circuit with respect to the edge coloring. This only affects non-local gates. Single qubit gates will be added to their own slices by gate type." ] }, { "cell_type": "code", "execution_count": 5, "id": "110b5844-972e-46d1-bfc5-20a30b69f814", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_utils.slicing import slice_by_coloring\n", "\n", "# Assign a color to each set of connected qubits\n", "coloring = {}\n", "for i in range(num_qubits - 1):\n", " coloring[(i, i + 1)] = i % 3\n", "coloring[(num_qubits - 1, 0)] = 2\n", "\n", "# Create a circuit with operations added in order of color\n", "qc = QuantumCircuit(num_qubits)\n", "qc.ry(np.pi / 4, range(num_qubits))\n", "edges = [edge for color in range(3) for edge in coloring if coloring[edge] == color]\n", "for edge in edges:\n", " qc.cx(edge[0], edge[1])\n", "qc.rx(np.pi / 4, range(num_qubits))\n", "qc.rz(np.pi / 4, range(num_qubits))\n", "\n", "# Create slices by edge color\n", "slices = slice_by_coloring(qc, coloring=coloring)\n", "combined_slices = combine_slices(slices, include_barriers=True)\n", "combined_slices.draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "markdown", "id": "d05b0cad-bbed-48cd-8520-3e2904cde058", "metadata": {}, "source": [ "For more custom slicing strategies a user may wish to place barriers in the locations they want to slice and use the [slice_by_barriers](https://qiskit.github.io/qiskit-addon-utils/stubs/qiskit_addon_utils.slicing.slice_by_barriers.html) function. Here, we will create 3 slices, one for each rotation layer and one for the entangling layer." ] }, { "cell_type": "code", "execution_count": 6, "id": "948aa715-22e8-41e1-943d-de7eb0aa379c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(num_qubits)\n", "qc.ry(np.pi / 4, range(num_qubits))\n", "qc.barrier()\n", "qubits_1 = [i for i in range(num_qubits) if i % 2 == 0]\n", "qubits_2 = [i for i in range(num_qubits) if i % 2 == 1]\n", "qc.cx(qubits_1[:-1], qubits_2)\n", "qc.cx(qubits_2, qubits_1[1:])\n", "qc.cx(qubits_1[-1], qubits_1[0])\n", "qc.barrier()\n", "qc.rx(np.pi / 4, range(num_qubits))\n", "qc.rz(np.pi / 4, range(num_qubits))\n", "qc.draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "markdown", "id": "6511c580-bcc6-462c-9d17-2435adae311a", "metadata": {}, "source": [ "We will not draw the re-combined slices as a single circuit since it would look identical to the input circuit. Instead, below we draw each slice on its own." ] }, { "cell_type": "code", "execution_count": 7, "id": "9f766d69-e10c-4aa8-a3bc-2057dab7a69a", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_utils.slicing import slice_by_barriers\n", "\n", "slices = slice_by_barriers(qc)\n", "slices[0].draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "code", "execution_count": 8, "id": "a00c8743-f3b9-460c-ba2c-ffc634e99e0e", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slices[1].draw(\"mpl\", scale=0.6)" ] }, { "cell_type": "code", "execution_count": 9, "id": "791bd07b-739a-45ec-a3e9-2d068f8bd960", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slices[2].draw(\"mpl\", scale=0.6)" ] } ], "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 5 }