{ "cells": [ { "cell_type": "markdown", "id": "94e57147", "metadata": {}, "source": [ "# 4.41 The Package Mode on Paper" ] }, { "cell_type": "markdown", "id": "a0ae2842", "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%2Ftut%2F4-Analysis%2F4.41-The-package-mode-on-paper.ipynb)\n", "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/qiskit-community/qiskit-metal/main?labpath=docs%2Ftut%2F4-Analysis%2F4.41-The-package-mode-on-paper.ipynb)" ] }, { "cell_type": "markdown", "id": "7a49ca05", "metadata": {}, "source": [ "> 💡 **What you need.** Only NumPy, SciPy and matplotlib: this notebook is pure analysis, no mesher and no solver. It is the first of five that reproduce the paper by Molavi *et al.* [1] with open-source tools." ] }, { "cell_type": "markdown", "id": "edd0b839", "metadata": {}, "source": [ "A superconducting processor sits in a metal box. The box is a microwave cavity, and its lowest modes can land right among the qubit frequencies. Every qubit then couples, weakly but measurably, to the same box mode — a channel for decay and for crosstalk between qubits that are nowhere near each other on the chip. Designing a large processor means knowing these couplings, qubit by qubit.\n", "\n", "Molavi *et al.* [1] benchmark four ways of extracting them on a clean test case: a 10 × 10 array of transmons in a 30 × 30 × 3 mm box, half filled at the bottom by a silicon slab. This series reproduces their results with Quantum Metal, gmsh and scikit-fem:" ] }, { "cell_type": "markdown", "id": "c0b85ebb", "metadata": {}, "source": [ "| | Notebook | What it computes | Solver | Run time |\n", "|---|---|---|---|---|\n", "| 4.41 | [The package mode on paper](4.41-The-package-mode-on-paper.ipynb) | LSM modes, Fig. 11, the dipole estimate | analytic | seconds |\n", "| 4.42 | [Four ways to measure a coupling](4.42-Four-ways-to-measure-a-coupling.ipynb) | the four methods on the two-mode circuit, the Appendix D fit | circuit algebra | seconds |\n", "| 4.43 | [Mesh and solve the 10×10 processor](4.43-Mesh-and-solve-the-10x10-processor.ipynb) | the design in Quantum Metal, the mesh, the package eigenmode, qubit capacitance | gmsh + scikit-fem | ~5 min |\n", "| 4.44 | [Every coupling from one eigenmode](4.44-Every-coupling-from-one-eigenmode.ipynb) | induced-EMF couplings of all 100 qubits, Figs. 6, 8, 9 | gmsh + scikit-fem | ~6 min |\n", "| 4.45 | [Four methods, one full-wave model](4.45-Four-methods-one-full-wave-model.ipynb) | avoided crossing, EPR, induced EMF and impedance matrix side by side, Figs. 5, 7 | gmsh + scikit-fem | ~6 min |" ] }, { "cell_type": "markdown", "id": "42846eeb", "metadata": {}, "source": [ "This first notebook needs no simulation at all. The box and the slab alone set the package mode, and its fields can be written down in closed form (the paper's Appendix E). Those fields already predict the pattern of couplings across the array, and their size to within 10%.\n", "\n", "**What you'll learn**\n", "\n", "- why a silicon slab pulls the lowest box mode from 7.07 GHz down to 6.49 GHz, and what the mode looks like through the thickness of the box (Fig. 11 of the paper);\n", "- why a qubit couples to the box through the *in-plane* field at the chip surface, not the vertical field that dominates the mode;\n", "- how to estimate every qubit's coupling from its electric dipole moment, and what pattern that predicts across the array." ] }, { "cell_type": "code", "execution_count": 1, "id": "a0f47c85", "metadata": {}, "outputs": [], "source": [ "# In Colab, uncomment to install the dependencies of the whole series.\n", "# Colab only (not needed locally): gmsh's Linux wheel needs system graphics libraries Colab lacks.\n", "# !apt-get -qq update && apt-get -qq install -y libglu1-mesa libgl1 libxcursor1 libxft2 libxinerama1 libxfixes3 libxrender1 libxext6 libfontconfig1 > /dev/null\n", "# !pip install -q \"quantum-metal[skfem]\" pymetis" ] }, { "cell_type": "code", "execution_count": 2, "id": "c6092aa5", "metadata": {}, "outputs": [], "source": [ "import sys\n", "import urllib.request\n", "from pathlib import Path\n", "\n", "# The solver code shared by tutorials 4.41-4.45 lives in docs/tut/resources/package_modes/.\n", "RES = Path(\"../resources/package_modes\")\n", "if not (\n", " RES / \"package_modes.py\"\n", ").exists(): # e.g. in Colab: fetch it next to the notebook\n", " RES = Path(\"package_modes\")\n", " RES.mkdir(exist_ok=True)\n", " urllib.request.urlretrieve(\n", " \"https://raw.githubusercontent.com/qiskit-community/qiskit-metal/main/\"\n", " \"docs/tut/resources/package_modes/package_modes.py\",\n", " RES / \"package_modes.py\",\n", " )\n", "sys.path.insert(0, str(RES))\n", "\n", "import package_modes as pm\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.constants import c as C0, epsilon_0 as EPS0" ] }, { "cell_type": "markdown", "id": "2bb230e3", "metadata": {}, "source": [ "## 1. The device\n", "\n", "The validation device of the paper (its Fig. 4): a perfectly conducting box, a silicon slab on its floor, and 100 bare transmons on the silicon — each two rectangular paddles with a Josephson junction across the gap between them. There is no ground plane on the chip, which makes every coupling larger than in a real processor and easier to compute." ] }, { "cell_type": "code", "execution_count": 3, "id": "804a3fc3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Lx = 30.0\n", " Ly = 30.0\n", " Lz = 3.0\n", " t = 0.5\n", " eps_r = 11.9\n", " n = 10\n", " pitch = 3.0\n", " pad_w = 0.5\n", " pad_h = 1.0\n", " gap = 0.2\n" ] } ], "source": [ "d = pm.DEVICE\n", "for key, value in d.items():\n", " print(f\"{key:>6} = {value}\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "12abc66a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (top, side) = plt.subplots(\n", " 1, 2, figsize=(11, 4.2), gridspec_kw=dict(width_ratios=[1, 1.35])\n", ")\n", "\n", "# top view: the array\n", "for (i, j), (x, y) in pm.qubit_centers().items():\n", " for sign in (-1, 1):\n", " x0 = x + sign * (d[\"gap\"] / 2 + d[\"pad_w\"] / 2) - d[\"pad_w\"] / 2\n", " top.add_patch(\n", " plt.Rectangle(\n", " (x0, y - d[\"pad_h\"] / 2), d[\"pad_w\"], d[\"pad_h\"], color=\"tab:blue\"\n", " )\n", " )\n", "top.set(\n", " xlim=(0, d[\"Lx\"]),\n", " ylim=(0, d[\"Ly\"]),\n", " aspect=\"equal\",\n", " xlabel=\"x (mm)\",\n", " ylabel=\"y (mm)\",\n", " title=\"top view: 10 × 10 transmons\",\n", ")\n", "top.text(1.5, 1.5 - 1.2, \"(0,0)\", ha=\"center\", fontsize=8)\n", "top.text(28.5, 1.5 - 1.2, \"(9,0)\", ha=\"center\", fontsize=8)\n", "\n", "# side view: box, slab, paddles\n", "side.add_patch(\n", " plt.Rectangle((0, 0), d[\"Lx\"], d[\"t\"], color=\"0.8\", label=\"silicon, ε$_r$ = 11.9\")\n", ")\n", "side.plot(\n", " [0, d[\"Lx\"], d[\"Lx\"], 0, 0],\n", " [0, 0, d[\"Lz\"], d[\"Lz\"], 0],\n", " \"k\",\n", " lw=2,\n", " label=\"metal box\",\n", ")\n", "for (i, j), (x, y) in pm.qubit_centers().items():\n", " if j == 0:\n", " for sign in (-1, 1):\n", " xc = x + sign * (d[\"gap\"] + d[\"pad_w\"]) / 2\n", " side.plot(\n", " [xc - d[\"pad_w\"] / 2, xc + d[\"pad_w\"] / 2],\n", " [d[\"t\"], d[\"t\"]],\n", " color=\"tab:blue\",\n", " lw=3,\n", " )\n", "side.set(\n", " xlim=(-0.5, d[\"Lx\"] + 0.5),\n", " ylim=(-0.3, d[\"Lz\"] + 0.3),\n", " xlabel=\"x (mm)\",\n", " ylabel=\"z (mm)\",\n", " title=\"side view (not to scale in z)\",\n", ")\n", "side.legend(loc=\"upper right\", fontsize=8)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "fa46be52", "metadata": {}, "source": [ "## 2. The empty box\n", "\n", "Without the slab, the lowest mode of a box with $L_z < L_x, L_y$ is $\\mathrm{TM}_{110}$. Its electric field points straight up and has the shape of the lowest drum mode,\n", "\n", "$$E_z = E_0 \\sin(\\pi x/L_x)\\,\\sin(\\pi y/L_y), \\qquad f_{110} = \\frac{c}{2}\\sqrt{L_x^{-2}+L_y^{-2}} .$$" ] }, { "cell_type": "code", "execution_count": 5, "id": "34b4c913", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "empty box, TM110: 7.066 GHz (paper: 7.07 GHz)\n" ] } ], "source": [ "f_empty = C0 / 2 * np.hypot(1 / (d[\"Lx\"] * 1e-3), 1 / (d[\"Ly\"] * 1e-3))\n", "print(\n", " f\"empty box, TM110: {f_empty / 1e9:.3f} GHz (paper: {pm.PAPER['f_empty'] / 1e9:.2f} GHz)\"\n", ")" ] }, { "cell_type": "markdown", "id": "6d8cd436", "metadata": {}, "source": [ "## 3. Add the slab: the LSM$_{110}$ mode\n", "\n", "The silicon changes two things. The field now crosses an interface where the permittivity jumps by 11.9, and the mode slows down: some of its energy sits in a region where light is 3.4 times slower. The mode that grows out of $\\mathrm{TM}_{110}$ keeps the same in-plane shape, $\\sin(\\pi x/L_x)\\sin(\\pi y/L_y)$, and gains a vertical profile — a cosine in the silicon and a hyperbolic cosine in the vacuum above it:\n", "\n", "$$E_z^{\\rm Si} = E_{0,z}\\cos(k_z^{\\rm Si} z), \\qquad\n", "E_z^{\\rm air} = \\varepsilon_r E_{0,z}\\,\\frac{\\cos(k_z^{\\rm Si} t)}{\\cosh\\!\\big(k_z^{\\rm air}(L_z-t)\\big)}\\,\\cosh\\!\\big(k_z^{\\rm air}(L_z-z)\\big) .$$\n", "\n", "The factor $\\varepsilon_r$ makes the vertical *displacement* field $D_z$ continuous across the interface. Requiring the in-plane field to be continuous too fixes the frequency, through the transcendental equation (E3) of the paper,\n", "\n", "$$k_z^{\\rm Si}\\tan(k_z^{\\rm Si} t) = \\varepsilon_r k_z^{\\rm air}\\tanh\\!\\big(k_z^{\\rm air}(L_z-t)\\big), \\quad\n", "k_z^{\\rm Si}=\\sqrt{\\varepsilon_r k_0^2-\\gamma^2},\\quad k_z^{\\rm air}=\\sqrt{\\gamma^2-k_0^2},$$\n", "\n", "with $k_0 = \\omega/c$ and $\\gamma^2 = (\\pi/L_x)^2 + (\\pi/L_y)^2$. The mode has $H_z = 0$ everywhere: a *longitudinal-section magnetic* (LSM) mode [3]. `pm.lsm_mode` solves (E3) with a bracketing root finder; the cell below shows the function whose root it finds." ] }, { "cell_type": "code", "execution_count": 6, "id": "842ca33b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mode = pm.lsm_mode(1, 1)\n", "\n", "t, Lz, er = mode.t, mode.Lz, mode.eps_r\n", "f = np.linspace(\n", " C0 * mode.gamma / np.sqrt(er) / (2 * np.pi) * 1.001,\n", " C0 * mode.gamma / (2 * np.pi) * 0.999,\n", " 800,\n", ")\n", "k0 = 2 * np.pi * f / C0\n", "ks, ka = np.sqrt(er * k0**2 - mode.gamma**2), np.sqrt(mode.gamma**2 - k0**2)\n", "lhs, rhs = ks * np.tan(ks * t), er * ka * np.tanh(ka * (Lz - t))\n", "\n", "fig, ax = plt.subplots(figsize=(6.5, 3.5))\n", "ax.plot(f / 1e9, lhs, label=r\"$k_z^{\\rm Si}\\tan(k_z^{\\rm Si} t)$\")\n", "ax.plot(f / 1e9, rhs, label=r\"$\\varepsilon_r k_z^{\\rm air}\\tanh(k_z^{\\rm air}(L_z-t))$\")\n", "ax.axvline(mode.f / 1e9, color=\"k\", ls=\":\", lw=1)\n", "ax.set(\n", " xlabel=\"frequency (GHz)\",\n", " ylabel=\"1/m\",\n", " ylim=(0, 2 * rhs.max()),\n", " title=f\"the two sides of (E3) cross at {mode.f / 1e9:.3f} GHz\",\n", ")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "4a0f885d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " exact (E3) closed form paper\n", " f_110 (GHz) 6.493 6.504 6.490\n", " k_z Si (1/m) 445.447 446.340 445.400\n", " k_z air (1/m) 58.440 57.864 58.400\n", " E0x for 1 J (MV/m) 25.561 25.116 25.560\n" ] } ], "source": [ "approx = pm.lsm_mode_approx(1, 1)\n", "P = pm.PAPER\n", "rows = [\n", " (\"f_110 (GHz)\", mode.f / 1e9, approx[\"f\"] / 1e9, P[\"f_si\"] / 1e9),\n", " (\"k_z Si (1/m)\", mode.kz_si, approx[\"kz_si\"], P[\"kz_si\"]),\n", " (\"k_z air (1/m)\", mode.kz_air, approx[\"kz_air\"], P[\"kz_air\"]),\n", " (\"E0x for 1 J (MV/m)\", mode.E0x / 1e6, approx[\"E0x\"] / 1e6, P[\"E0x_110\"] / 1e6),\n", "]\n", "print(f\"{'':>20} {'exact (E3)':>11} {'closed form':>12} {'paper':>8}\")\n", "for name, a, b, p in rows:\n", " print(f\"{name:>20} {a:11.3f} {b:12.3f} {p:8.3f}\")" ] }, { "cell_type": "markdown", "id": "d0afbdbc", "metadata": {}, "source": [ "The closed-form column uses the approximations at the end of Appendix E, valid because $k_z t$ and $k_z^{\\rm air}(L_z-t)$ are small (0.22 and 0.15): the slab and the vacuum act like two capacitors in series, with an effective permittivity $\\varepsilon_{\\rm eff} = [\\varepsilon_r^{-1}(t/L_z) + (1-t/L_z)]^{-1} \\approx 1.18$, and $f \\approx f_{\\rm empty}/\\sqrt{\\varepsilon_{\\rm eff}}$.\n", "\n", "## 4. The mode through the thickness (Fig. 11)\n", "\n", "Because $k_z$ is small in both layers, the fields barely vary with height: the displacement field $D_z$ is nearly uniform from floor to lid, and $E_z$ is 11.9 times larger in the vacuum than in the silicon." ] }, { "cell_type": "code", "execution_count": 8, "id": "e00f3b10", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "E_z jumps by 11.90 at the silicon surface\n" ] } ], "source": [ "z = np.linspace(0, Lz, 600)\n", "Ez = mode.Ez(z)\n", "Dz = np.where(z <= t, er, 1.0) * EPS0 * Ez\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 3.6), sharey=True)\n", "ax[0].plot(Dz / Dz.max(), z * 1e3, color=\"tab:green\")\n", "ax[0].set(\n", " xlabel=r\"$D_z / D_z^{\\max}$\",\n", " ylabel=\"z (mm)\",\n", " title=\"displacement field\",\n", " xlim=(0, 1.05),\n", ")\n", "ax[1].plot(Ez / 1e6, z * 1e3, color=\"tab:red\")\n", "ax[1].set(xlabel=r\"$E_z$ (MV/m, for 1 J)\", title=\"electric field\")\n", "for a in ax:\n", " a.axhspan(0, t * 1e3, color=\"0.85\", zorder=0)\n", " a.text(0.02, t * 1e3 / 2, \"silicon\", transform=a.get_yaxis_transform(), va=\"center\")\n", "plt.suptitle(\"LSM$_{110}$ at the center of the box (paper Fig. 11)\")\n", "plt.tight_layout()\n", "plt.show()\n", "print(\n", " f\"E_z jumps by {mode.Ez(t + 1e-12) / mode.Ez(t - 1e-12):.2f} at the silicon surface\"\n", ")" ] }, { "cell_type": "markdown", "id": "3440ffc0", "metadata": {}, "source": [ "## 5. What the qubits feel: the in-plane field\n", "\n", "A transmon's two paddles sit flat on the silicon, side by side along $x$. In the qubit mode their charges are equal and opposite, so the qubit is a small electric dipole pointing along $x$, and it responds to $E_x$ — not to $E_z$, which pushes both paddles the same way.\n", "\n", "In an empty box $\\mathrm{TM}_{110}$ has no $E_x$ at all. The slab creates one. The field lines of $E_z$ bend at the interface, and at the silicon surface the mode acquires (Eqs. E7, E8)\n", "\n", "$$E_x\\big|_{z=t} = a\\,E_{0,x}\\cos(a\\pi x/L_x)\\,\\sin(b\\pi y/L_y), \\qquad E_x = \\gamma^{-2}\\,\\partial_x\\partial_z E_z ,$$\n", "\n", "with $E_{0,x} = -E_{0,z}(\\pi/L_x)\\,k_z^{\\rm Si}\\sin(k_z^{\\rm Si}t)/\\gamma^2$ (Eq. E9) — negative where $E_z > 0$, because $E_z$ falls with height in the silicon. The paper quotes its magnitude, and so does `mode.E0x`. The field is proportional to $\\partial_x E_z$: it vanishes where $E_z$ peaks, at the center of the box, and is largest along the walls $x = 0$ and $x = L_x$, with opposite signs on the two sides." ] }, { "cell_type": "code", "execution_count": 9, "id": "d1dbafcf", "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, mode.Lx, 201)\n", "y = np.linspace(0, mode.Ly, 201)\n", "X, Y = np.meshgrid(x, y)\n", "Ez_top = (\n", " mode.Ez(np.array([t]))[0]\n", " * np.sin(np.pi * X / mode.Lx)\n", " * np.sin(np.pi * Y / mode.Ly)\n", ")\n", "Ex_top = mode.Ex_surface(X, Y)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(11, 4.4))\n", "for a, F, name, cmap in (\n", " (ax[0], Ez_top, \"$E_z$\", \"Reds\"),\n", " (ax[1], Ex_top, \"$E_x$\", \"RdBu_r\"),\n", "):\n", " lim = np.abs(F).max() / 1e6\n", " im = a.pcolormesh(\n", " X * 1e3,\n", " Y * 1e3,\n", " F / 1e6,\n", " cmap=cmap,\n", " vmin=-lim if cmap == \"RdBu_r\" else 0,\n", " vmax=lim,\n", " shading=\"auto\",\n", " )\n", " xs = [q[0] for q in pm.qubit_centers().values()]\n", " ys = [q[1] for q in pm.qubit_centers().values()]\n", " a.plot(xs, ys, \"k.\", ms=3)\n", " a.set(\n", " aspect=\"equal\",\n", " xlabel=\"x (mm)\",\n", " ylabel=\"y (mm)\",\n", " title=f\"{name} at the silicon surface (MV/m, 1 J)\",\n", " )\n", " plt.colorbar(im, ax=a, shrink=0.85)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "67bac419", "metadata": {}, "source": [ "## 6. The electric-dipole estimate of every coupling\n", "\n", "Treat each qubit as a dipole $p_x$ in the field $E_x$ of the package mode. The interaction energy $p_x E_x$, with both mode energies set to 1 J and rms instead of peak amplitudes, gives the capacitive coupling efficiency (Eq. 16 of the paper)\n", "\n", "$$k_C(x,y) = \\frac{p_x\\,E_x|_{z=t}(x,y)}{2\\sqrt{E_m E_n}}, \\qquad g = \\tfrac12 k_C\\,\\omega_m \\ \\text{on resonance}.$$\n", "\n", "The paper takes $p_x = 3.41\\times10^{-10}$ C·m for a qubit with 1 J of energy from its HFSS eigenmode (notebook 4.43 computes it with our own electrostatics). Then every coupling follows the single pattern\n", "\n", "$$g(x, y) = A\\,\\cos(\\pi x/L_x)\\,\\sin(\\pi y/L_y).$$" ] }, { "cell_type": "code", "execution_count": 10, "id": "d4b41adb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "k_C at the field maximum = 4.358e-03\n", "A/2pi = 14.15 MHz (paper, dipole estimate: 14.2 MHz; full-wave fit: 15.6 MHz)\n" ] } ], "source": [ "kC, A = pm.dipole_coupling(P[\"px\"], mode)\n", "print(f\"k_C at the field maximum = {kC:.3e}\")\n", "print(\n", " f\"A/2pi = {A / 1e6:.2f} MHz (paper, dipole estimate: {P['A_110_dipole'] / 1e6:.1f} MHz;\"\n", " f\" full-wave fit: {P['A_110'] / 1e6:.1f} MHz)\"\n", ")" ] }, { "cell_type": "markdown", "id": "88a99ade", "metadata": {}, "source": [ "The prediction for the array: couplings antisymmetric about the middle column, largest in the outer columns and toward the middle rows, and — because the dipoles point along $x$ — a different pattern along $x$ than along $y$. Notebook 4.44 compares this map with the full-wave result." ] }, { "cell_type": "code", "execution_count": 11, "id": "e08602b6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g_pred = np.zeros((10, 10))\n", "for (i, j), (xq, yq) in pm.qubit_centers().items():\n", " g_pred[j, i] = (\n", " A * mode.Ex_surface(xq * 1e-3, yq * 1e-3) / mode.E0x\n", " ) # the sign of g follows E_x\n", "\n", "fig, ax = plt.subplots(figsize=(6.2, 5.2))\n", "lim = np.abs(g_pred).max() / 1e6\n", "im = ax.imshow(g_pred / 1e6, origin=\"lower\", cmap=\"RdBu_r\", vmin=-lim, vmax=lim)\n", "for i, j in pm.qubit_centers():\n", " ax.text(i, j, f\"{g_pred[j, i] / 1e6:.1f}\", ha=\"center\", va=\"center\", fontsize=7)\n", "ax.set(\n", " xlabel=\"column i\",\n", " ylabel=\"row j\",\n", " title=\"dipole estimate of g/2π (MHz)\",\n", " xticks=range(10),\n", " yticks=range(10),\n", ")\n", "plt.colorbar(im, ax=ax, shrink=0.85)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0c6172f1", "metadata": {}, "source": [ "### The second mode: LSM$_{210}$\n", "\n", "The same reasoning applies to every LSM$_{ab0}$ mode. For LSM$_{210}$ the in-plane field carries an extra factor $a = 2$, the frequency is higher, and $E_{0,x}$ is nearly unchanged, so the model predicts a coupling amplitude larger by about $2\\,\\omega_{210}/\\omega_{110}$." ] }, { "cell_type": "code", "execution_count": 12, "id": "f797c3ca", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LSM210: f = 10.24 GHz (paper 10.23), E0x = 26.25 MV/m (paper 26.25)\n", "A_210/2pi = 45.8 MHz (paper, dipole estimate: 45.7 MHz)\n", "A_210/A_110 = 3.238; 2 w_210 / w_110 = 3.153\n" ] } ], "source": [ "mode2 = pm.lsm_mode(2, 1)\n", "kC2, A2 = pm.dipole_coupling(P[\"px\"], mode2)\n", "print(\n", " f\"LSM210: f = {mode2.f / 1e9:.2f} GHz (paper {P['f_lsm210'] / 1e9:.2f}),\"\n", " f\" E0x = {mode2.E0x / 1e6:.2f} MV/m (paper {P['E0x_210'] / 1e6:.2f})\"\n", ")\n", "print(\n", " f\"A_210/2pi = {A2 / 1e6:.1f} MHz (paper, dipole estimate: {P['A_210_dipole'] / 1e6:.1f} MHz)\"\n", ")\n", "print(f\"A_210/A_110 = {A2 / A:.3f}; 2 w_210 / w_110 = {2 * mode2.f / mode.f:.3f}\")" ] }, { "cell_type": "markdown", "id": "9025b03f", "metadata": {}, "source": [ "## Summary\n", "\n", "| Quantity | This notebook | Paper |\n", "|---|---|---|\n", "| empty box, TM$_{110}$ | 7.07 GHz | 7.07 GHz |\n", "| with silicon, LSM$_{110}$ | 6.49 GHz | 6.49 GHz |\n", "| $k_z^{\\rm Si}$, $k_z^{\\rm air}$ | 445.4, 58.4 m$^{-1}$ | 445.4, 58.4 m$^{-1}$ |\n", "| $E_{0,x}$ (1 J) | 25.56 MV/m | 25.56 MV/m |\n", "| dipole estimate of $A/2\\pi$ | 14.2 MHz | 14.2 MHz |\n", "| dipole estimate of $A_{210}/2\\pi$ | 45.8 MHz | 45.7 MHz |\n", "\n", "The whole coupling map rests on one mechanism: the slab tilts the package field at the chip surface, and each transmon's dipole picks up the tilt.\n", "\n", "## Where to go next\n", "\n", "- **4.42 Four ways to measure a coupling** — the four extraction methods of the paper, first on a two-mode circuit where every answer is known exactly.\n", "- **4.43 Mesh and solve the 10 × 10 processor** — the same box, now with the paddles, as a Quantum Metal design meshed with gmsh and solved with a finite-element Maxwell solver.\n", "- Change the slab thickness in `pm.lsm_mode(1, 1, t=0.25)` and watch $E_{0,x}$ — and with it every coupling — scale almost linearly with $t$ (Eq. E15)." ] }, { "cell_type": "markdown", "id": "c73d06a9", "metadata": {}, "source": [ "## References\n", "\n", "1. R. Molavi, E. Forati, Y. Zhang, A. R. Klots, J. Atalaya, B. W. Langley, D. A. Timucin, M. Nazari, G. Khan, Z. K. Minev, A. N. Korotkov, M. H. Devoret, \"Extracting electromagnetic bare mode couplings in large superconducting quantum processors,\" [arXiv:2609.22442](https://arxiv.org/abs/2609.22442) (2026).\n", "2. Z. K. Minev, Z. Leghtas, S. O. Mundhada, L. Christakis, I. M. Pop, M. H. Devoret, \"Energy-participation quantization of Josephson circuits,\" *npj Quantum Inf.* **7**, 131 (2021). [doi:10.1038/s41534-021-00461-8](https://doi.org/10.1038/s41534-021-00461-8)\n", "3. C. A. Balanis, *Advanced Engineering Electromagnetics*, 2nd ed. (Wiley, 2012) — LSM modes of a partially filled waveguide.\n", "4. C. Geuzaine, J.-F. Remacle, \"Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities,\" *Int. J. Numer. Methods Eng.* **79**, 1309–1331 (2009). [doi:10.1002/nme.2579](https://doi.org/10.1002/nme.2579)\n", "5. T. Gustafsson, G. D. McBain, \"scikit-fem: A Python package for finite element assembly,\" *J. Open Source Softw.* **5**, 2369 (2020). [doi:10.21105/joss.02369](https://doi.org/10.21105/joss.02369)" ] } ], "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": "3.11.14" } }, "nbformat": 4, "nbformat_minor": 5 }