{ "cells": [ { "cell_type": "markdown", "id": "f96003c3", "metadata": {}, "source": [ "# Flip-Chip Devices in Quantum Metal\n", "\n", "This notebook builds a qubit–resonator pair in a flip-chip stack and then analyzes it with the energy-participation-ratio (EPR) method.\n", "\n", "The stack has two chips facing each other a few micrometers apart. Here the readout resonator sits on the bottom chip, called the control chip (`C_chip`), and the qubit on the top chip, the qubit chip (`Q_chip`); other layouts put both on one chip or split them differently." ] }, { "cell_type": "markdown", "id": "fc-badges", "metadata": {}, "source": [ "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/qiskit-community/qiskit-metal/blob/main/docs/tut/2-From-components-to-chip/FlipChip-design-tutorial.ipynb)\n", "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/qiskit-community/qiskit-metal/main?labpath=docs%2Ftut%2F2-From-components-to-chip%2FFlipChip-design-tutorial.ipynb)" ] }, { "cell_type": "code", "id": "fc-install", "metadata": {}, "source": [ "# In Colab / Binder, uncomment to install Quantum Metal (lite, no Qt).\n", "# Locally you should already have it via `pip install quantum-metal` or\n", "# `pip install 'quantum-metal[gui]'` for the desktop GUI.\n", "# !pip install -q quantum-metal" ], "execution_count": 2, "outputs": [] }, { "cell_type": "markdown", "id": "fc-gui", "metadata": {}, "source": [ "> đŸ’¡ **Desktop GUI or inline.** `metal.gui(design)` opens the desktop `MetalGUI` when Qt and a display are available and falls back to an inline viewer (Colab, Binder, a server) with the same API, so `gui.rebuild()` and `gui.screenshot()` work in both. See [1.1 Quick start](https://qiskit-community.github.io/qiskit-metal/tut/1-Overview/1.1-Quick-start.html) and [`docs/headless-usage.rst`](https://qiskit-community.github.io/qiskit-metal/headless-usage.html).\n", ">\n", "> Section 1 (the layout) runs anywhere. Sections 2 and 3 add a material to Ansys and run an HFSS eigenmode simulation with EPR analysis; they need Ansys HFSS with pyEPR on Windows, and the cells that talk to Ansys are shown here without outputs." ] }, { "cell_type": "markdown", "id": "simulation-pathways", "metadata": {}, "source": [ "> đŸ§­ **Other simulation pathways.** This notebook uses Ansys, which needs a license. Without one, the same kind of result can come from the open-source ElmerFEM path for capacitance (tutorial 4.19) or the pip-installable gmsh + scikit-fem solver for eigenmodes, couplings and capacitance (tutorials 4.43–4.45); AWS Palace is available through SQDMetal, with a native integration in progress. [Simulation pathways](https://qiskit-community.github.io/qiskit-metal/simulation-pathways.html) summarizes what each solver computes, how to install it, and which tutorials use it." ] }, { "cell_type": "markdown", "id": "1ea0705e", "metadata": {}, "source": [ "## 1. Building a flip-chip design\n", "\n", "`DesignFlipChip` works like `DesignPlanar`, except that it has two chips and each component says which one it is drawn on with its `chip` option. The two chips are called `C_chip` and `Q_chip`." ] }, { "cell_type": "code", "execution_count": 3, "id": "1c02013c", "metadata": {}, "outputs": [], "source": [ "import qiskit_metal as metal\n", "from qiskit_metal import Dict, designs\n", "from qiskit_metal.qlibrary.qubits.transmon_cross import TransmonCross\n", "from qiskit_metal.qlibrary.resonators.readoutres_fc import ReadoutResFC" ] }, { "cell_type": "code", "execution_count": 4, "id": "88f78db4", "metadata": {}, "outputs": [], "source": [ "design = designs.DesignFlipChip()\n", "design.metadata[\"design_name\"] = \"FlipChip_Device\"\n", "# Allow re-running a cell to overwrite components with the same name\n", "design.overwrite_enabled = True\n", "\n", "gui = metal.gui(design)" ] }, { "cell_type": "markdown", "id": "a689d06b", "metadata": {}, "source": [ "Next, we draw an Xmon on the Q-chip, and a readout resonator on the C-chip." ] }, { "cell_type": "code", "execution_count": 5, "id": "1a4c6ad6", "metadata": {}, "outputs": [], "source": [ "# delete existing components\n", "design.delete_all_components()\n", "\n", "# Draw an Xmon on the Q_chip: the `chip` option selects the chip.\n", "options_cpads = Dict(\n", " connector_type=\"0\", # claw type\n", " claw_length=\"30um\",\n", " ground_spacing=\"5um\",\n", " claw_width=\"10um\",\n", " claw_gap=\"6um\",\n", ")\n", "options = Dict(\n", " chip=\"Q_chip\",\n", " cross_width=\"20um\",\n", " cross_length=\"150um\",\n", " cross_gap=\"20um\",\n", " connection_pads=Dict(claw_west=Dict(connector_location=\"180\", **options_cpads)),\n", ")\n", "\n", "# position the center of the Xmon at (0,0)\n", "q1_x = \"0.0 mm\"\n", "q1_y = \"0.0 mm\"\n", "\n", "# build the device, positioned at (q1_x, q1_y)\n", "q1 = TransmonCross(design, \"Q1\", options=Dict(pos_x=q1_x, pos_y=q1_y, **options))\n", "\n", "# rebuild in gui\n", "gui.rebuild()\n", "gui.autoscale()" ] }, { "cell_type": "code", "execution_count": 6, "id": "ddbc50d8", "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": { "image/png": { "width": 500 } }, "data": { "image/png": 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", "text/plain": "" } } ], "source": [ "# Draw a readout resonator on the C_chip (chip='C_chip').\n", "# The resonator can have any shape; this one is a lambda/4 CPW resonator.\n", "# The open-ended end of the resonator has a circular shape with a radius of readout_radius. Change this radius to change the qubit-resonator coupling strength.\n", "# The cpw_width and cpw_gap are the size of the signal line and the ground gap of the cpw transmission line.\n", "# The parameters readout_l1 ... l5, are the lengths of various parts of the cpw.\n", "# arc_step is the length of a line that approximates an arc.\n", "options = Dict(\n", " chip=\"C_chip\",\n", " readout_radius=\"20 um\",\n", " readout_cpw_width=\"10 um\",\n", " readout_cpw_gap=\"10 um\",\n", " readout_cpw_turnradius=\"50 um\",\n", " readout_l1=\"600 um\",\n", " readout_l2=\"200 um\",\n", " readout_l3=\"300 um\",\n", " readout_l4=\"150 um\",\n", " readout_l5=\"550 um\",\n", " arc_step=\"5 um\",\n", ")\n", "\n", "# the resonator is set to have its origin at the center of the circular patch.\n", "# So we set the qubit and the resonator to share the same coordinate (q1_x, q1_y)\n", "r1 = ReadoutResFC(design, \"R1\", options=Dict(pos_x=q1_x, pos_y=q1_y, **options))\n", "\n", "# rebuild in gui\n", "gui.rebuild()\n", "gui.autoscale()\n", "gui.screenshot()" ] }, { "cell_type": "markdown", "id": "17affa51", "metadata": {}, "source": [ "## 2. Preparation before rendering in Ansys" ] }, { "cell_type": "markdown", "id": "1678915d", "metadata": {}, "source": [ "As described before, we have specified two chips in the FlipChipDesign class, i.e. C_chip and Q_chip. This information is stored in the chips variables. " ] }, { "cell_type": "code", "execution_count": 7, "id": "b35cb7f9", "metadata": {}, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "{'C_chip': {'material': 'silicon',\n 'layer_start': '0',\n 'layer_end': '2048',\n 'size': {'center_x': '0.0mm',\n 'center_y': '0.0mm',\n 'center_z': '0.0mm',\n 'size_x': '9mm',\n 'size_y': '9mm',\n 'size_z': '-280um',\n 'sample_holder_top': '890um',\n 'sample_holder_bottom': '1650um'}},\n 'Q_chip': {'material': 'silicon',\n 'layer_start': '0',\n 'layer_end': '2048',\n 'size': {'center_x': '0.0mm',\n 'center_y': '0.0mm',\n 'center_z': '20 um',\n 'size_x': '9mm',\n 'size_y': '9mm',\n 'size_z': '280um',\n 'sample_holder_top': '890um',\n 'sample_holder_bottom': '1650um'}}}" }, "execution_count": 7 } ], "source": [ "design.chips" ] }, { "cell_type": "markdown", "id": "3d7929e4", "metadata": {}, "source": [ "It is important to note that in terms of component rendering in ANSYS, the components are drawn on an XY plane with its Z-coordinate being defined by 'center_z'. For the design object we just created, C_chip components are drawn at z=0, and the Q_chip components are drawn at 20 um." ] }, { "cell_type": "code", "execution_count": 8, "id": "f566f85f", "metadata": {}, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "'0.0mm'" }, "execution_count": 8 } ], "source": [ "design.chips[\"C_chip\"][\"size\"][\"center_z\"]" ] }, { "cell_type": "code", "execution_count": 9, "id": "9007cb94", "metadata": {}, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "'20 um'" }, "execution_count": 9 } ], "source": [ "design.chips[\"Q_chip\"][\"size\"][\"center_z\"]" ] }, { "cell_type": "markdown", "id": "a05eeba7", "metadata": {}, "source": [ "Next, we set the Q_chip to be at a distance of, say 10 um, from the C_chip." ] }, { "cell_type": "code", "execution_count": 10, "id": "dd6060f0", "metadata": {}, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "'10 um'" }, "execution_count": 10 } ], "source": [ "design.chips[\"Q_chip\"][\"size\"][\"center_z\"] = \"10 um\"\n", "design.chips[\"Q_chip\"][\"size\"][\"center_z\"]" ] }, { "cell_type": "markdown", "id": "5f8e095c", "metadata": {}, "source": [ "You may want a different substrate material. Rather than modifying an existing material, define a new one in the Ansys material library. If you don't need this, skip to the next section.\n", "\n", "For example, silicon with a dielectric constant of 11.45 instead of the default 11.9, called `Si_11.45`. First add it to the Ansys material library (by hand, or with the script below, which needs a running Ansys HFSS), then assign it to the chips in the design." ] }, { "cell_type": "code", "execution_count": 11, "id": "025e0bfa", "metadata": {}, "outputs": [], "source": [ "# new material properties\n", "newMaterial_name = \"Si_11.45\"\n", "newMaterial_permittivity = \"11.45\"\n", "newMaterial_losstangent = \"1e-7\"" ] }, { "cell_type": "code", "execution_count": null, "id": "6eb99015", "metadata": { "tags": [ "requires-ansys" ] }, "outputs": [], "source": [ "# Add the new material to the open Ansys project (needs Ansys HFSS).\n", "from pyEPR import ansys, project_info\n", "\n", "# get the handles to the ANSYS system\n", "ans_prj = project_info.ProjectInfo()\n", "oProject = ans_prj.project._project\n", "defmanager = oProject.GetDefinitionManager()\n", "# check if the material exists\n", "if not defmanager.DoesMaterialExist(newMaterial_name):\n", " defmanager.AddMaterial(\n", " [\n", " \"NAME:%s\" % (newMaterial_name),\n", " \"CoordinateSystemType:=\",\n", " \"Cartesian\",\n", " \"BulkOrSurfaceType:=\",\n", " 1,\n", " [\"NAME:PhysicsTypes\", \"set:=\", [\"Electromagnetic\"]],\n", " \"permittivity:=\",\n", " \"%s\" % (newMaterial_permittivity),\n", " \"dielectric_loss_tangent:=\",\n", " \"%s\" % (newMaterial_losstangent),\n", " ]\n", " )\n", "# release the handle to ANSYS\n", "ans_prj.project.release()\n", "ans_prj.desktop.release()\n", "ans_prj.app.release()\n", "ansys.release()" ] }, { "cell_type": "code", "execution_count": 12, "id": "1b1af6d6", "metadata": {}, "outputs": [], "source": [ "# Specify the new material assignment for the chip\n", "design.chips[\"C_chip\"][\"material\"] = newMaterial_name\n", "design.chips[\"Q_chip\"][\"material\"] = newMaterial_name" ] }, { "cell_type": "markdown", "id": "2493e788", "metadata": {}, "source": [ "## 3. Run EPR analysis\n", "\n", "The EPR analysis follows tutorial [4.02 Eigenmode and EPR](../4-Analysis/4.02-Eigenmode-and-EPR.ipynb). First create an `EPRanalysis` object and update the HFSS simulation setup; this part runs without Ansys." ] }, { "cell_type": "code", "execution_count": 13, "id": "548873c3", "metadata": {}, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "{'name': 'Setup',\n 'reuse_selected_design': True,\n 'reuse_setup': True,\n 'min_freq_ghz': 1,\n 'n_modes': 1,\n 'max_delta_f': 0.5,\n 'max_passes': 10,\n 'min_passes': 1,\n 'min_converged': 1,\n 'pct_refinement': 30,\n 'basis_order': 1,\n 'vars': {'Lj': '10 nH', 'Cj': '0 fF'}}" }, "execution_count": 13 } ], "source": [ "from qiskit_metal.analyses.quantization import EPRanalysis\n", "\n", "eig_fc = EPRanalysis(design, \"hfss\")\n", "eig_fc.sim.setup" ] }, { "cell_type": "code", "execution_count": 14, "id": "ac123d75", "metadata": {}, "outputs": [ { "output_type": "execute_result", "metadata": {}, "data": { "text/plain": "{'name': 'Setup',\n 'reuse_selected_design': True,\n 'reuse_setup': True,\n 'min_freq_ghz': 1.5,\n 'n_modes': 2,\n 'max_delta_f': 1,\n 'max_passes': 20,\n 'min_passes': 1,\n 'min_converged': 1,\n 'pct_refinement': 30,\n 'basis_order': 1,\n 'vars': {'Lj': '10 nH', 'Cj': '0 fF'}}" }, "execution_count": 14 } ], "source": [ "# update setup setting\n", "eig_fc.sim.setup.max_passes = 20\n", "eig_fc.sim.setup.vars.Lj = \"10 nH\"\n", "# since we are analysing both the qubit and the resonator, we set the number of modes to be 2\n", "eig_fc.sim.setup.n_modes = 2\n", "# if there is not enough computational power, you can set a less stringent max_delta_f\n", "eig_fc.sim.setup.max_delta_f = 1\n", "eig_fc.sim.setup.min_freq_ghz = 1.5\n", "# pass the name of the junction (for the EPR analysis purpose)\n", "eig_fc.setup.junctions.jj.rect = \"JJ_rect_Lj_Q1_rect_jj\"\n", "eig_fc.setup.junctions.jj.line = \"JJ_Lj_Q1_rect_jj_\"\n", "\n", "eig_fc.sim.setup" ] }, { "cell_type": "markdown", "id": "32351948", "metadata": {}, "source": [ "Then run the HFSS simulation and the EPR analysis. These cells need Ansys HFSS and are shown without outputs." ] }, { "cell_type": "code", "execution_count": null, "id": "491db648", "metadata": { "tags": [ "requires-ansys" ] }, "outputs": [], "source": [ "eig_fc.sim.run(\n", " name=\"qubitres\", components=[\"Q1\", \"R1\"], open_terminations=[], box_plus_buffer=True\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "b973d2bc", "metadata": { "tags": [ "requires-ansys" ] }, "outputs": [], "source": [ "eig_fc.setup.dissipatives.dielectrics_bulk = [\"Q_chip\", \"C_chip\"]\n", "eig_fc.run_epr()" ] }, { "cell_type": "code", "execution_count": null, "id": "6f56cc50", "metadata": { "tags": [ "requires-ansys" ] }, "outputs": [], "source": [ "eig_fc.sim.close()" ] } ], "metadata": { "kernelspec": { "display_name": "Quantum Metal (uv py3.11)", "language": "python", "name": "qmetal-dev" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.14" } }, "nbformat": 4, "nbformat_minor": 5 }