{ "cells": [ { "cell_type": "markdown", "id": "53419f7c", "metadata": {}, "source": [ "# 4.45 Four Methods, One Full-Wave Model" ] }, { "cell_type": "markdown", "id": "00eef8cc", "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%2F4.45-Four-methods-one-full-wave-model.ipynb)\n", "[![Binder](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/qiskit-community/qiskit-metal/main?labpath=docs%2Ftut%2F4-Analysis%2F4.45-Four-methods-one-full-wave-model.ipynb)" ] }, { "cell_type": "markdown", "id": "2d72c609", "metadata": {}, "source": [ "> 💡 **What you need.** gmsh, scikit-fem and SciPy (`pip install \"quantum-metal[skfem]\" pymetis`). About 6 minutes and 10 GB of memory: the whole 10 × 10 package is meshed, because a junction on one qubit breaks the mirror symmetry. Last of five notebooks reproducing Molavi *et al.* [1]; [4.42](4.42-Four-ways-to-measure-a-coupling.ipynb) introduced the four methods on a circuit." ] }, { "cell_type": "markdown", "id": "simulation-pathways", "metadata": {}, "source": [ "> 🧭 **Other simulation pathways.** This notebook uses the open-source gmsh + scikit-fem solver. The same quantities can come from Ansys HFSS / Q3D (tutorials 4.01–4.23) or, for capacitance, from the open-source ElmerFEM path for capacitance (tutorial 4.19); 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": "a06d153f", "metadata": {}, "source": [ "The paper's central result is its Fig. 7: four different ways of extracting the qubit–package coupling, run on the same 3D model, agree to within 5% for every qubit. This notebook reproduces that comparison with the open-source solver of notebooks 4.43 and 4.44.\n", "\n", "The four methods differ only in what sits in the junction gap — an open circuit, a fixed inductor, a swept inductor, or a port with a shunt. In the edge-element formulation (notebook 4.43) a lumped element across a junction is one rank-one term, $(\\mu_0/L)\\,c\\,c^T$, added to the stiffness matrix. The structure itself never changes. So the model is built once, as a *port reduced-order model*: its response at the 25 junctions of one quadrant plus a probe port, captured from one sparse factorization. Every method then runs on small dense matrices — the open-source equivalent of the fast frequency sweep in a commercial solver.\n", "\n", "**What you'll learn**\n", "\n", "- how to build a reduced model of a full-wave structure at its ports, and check it against direct solves;\n", "- how the four methods look on a finite-element model: avoided crossing (the paper's Fig. 5), EPR, induced EMF and the impedance-matrix fit;\n", "- how closely they agree across a quadrant of the array (Fig. 7), and where the small differences come from." ] }, { "cell_type": "code", "execution_count": 1, "id": "6935029f", "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": "226914e3", "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 time\n", "import warnings\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.optimize as opt\n", "from matplotlib.colors import LogNorm\n", "\n", "warnings.filterwarnings(\"ignore\", category=FutureWarning)\n", "\n", "MESH = dict(\n", " h_metal=0.1, h_max=1.0\n", ") # mm; add h_junction=0.05 to seed the junctions more finely\n", "P = pm.PAPER\n", "TWO_PI = 2 * np.pi\n", "design = pm.build_design()\n", "package = pm.package_from_design(design)\n", "QUADRANT = [\n", " f\"Q_{i}_{j}\" for j in range(5) for i in range(5)\n", "] # the 25 qubits of the paper's Fig. 7" ] }, { "cell_type": "markdown", "id": "575c2fc4", "metadata": {}, "source": [ "## 1. The full package and its port model\n", "\n", "The mesh covers the whole box and all 100 qubits. It carries one extra port: a vertical wire from floor to lid, 0.5 mm from the wall at $y = L_y$ — across the box from the quadrant of qubits we compare, so that none of them sits next to it. The paper replaces a sidewall by a wave port to reach the package mode in its driven simulations; this probe does the same job for the impedance-matrix method. Left open it is invisible; shunted by a small inductance it is a thin post next to the wall.\n", "\n", "`pm.PortROM` factors the finite-element matrix once at a shift near 6.35 GHz and builds a block Krylov space from the 26 port vectors. Projecting onto it matches the ports' frequency response around the shift to high order — every junction termination, every eigenfrequency, every impedance in the band follows from small dense matrices." ] }, { "cell_type": "code", "execution_count": 3, "id": "3372726f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "full package: 438,045 tetrahedra, 81,305 nodes, 200 paddles, 100 junctions, 1 probe (meshed in 3.9 s)\n", "455,656 unknowns, assembled in 15 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "port ROM: 26 ports, 104 basis vectors, built in 48 s\n" ] } ], "source": [ "start = time.time()\n", "mesh = pm.mesh_package(package, region=\"full\", probe=(15.0, 29.5), **MESH)\n", "fem = pm.MaxwellFEM(mesh)\n", "print(\n", " f\"{mesh.summary()}\\n{fem.n_dofs:,} unknowns, assembled in {fem.assembly_time:.0f} s\"\n", ")\n", "rom = pm.PortROM(fem, QUADRANT + [\"probe\"], f_center=6.35e9, n_moments=4)\n", "fem._factors.clear() # the reduced model holds everything the methods need" ] }, { "cell_type": "markdown", "id": "dce26c9a", "metadata": {}, "source": [ "## 2. The capacitance this model sees\n", "\n", "The induced-EMF method needs the capacitance across each junction. Notebook 4.43 computed it with second-order electrostatics: 174 fF. But a fair comparison of methods puts all four on the *same* discrete model, and this model's qubits are slightly different. Lowest-order edge elements contain the gradients of first-order nodal functions exactly, so the static fields of the Maxwell model — including each qubit's charge configuration — are those of *first-order* electrostatics on the same mesh. On a coarse mesh that capacitance comes out larger, because the charge that crowds onto the paddle edges is poorly resolved. `pm.Electrostatics(mesh, order=1)` computes exactly the capacitance the Maxwell model sees." ] }, { "cell_type": "code", "execution_count": 4, "id": "6a911701", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "capacitance across the junction seen by this mesh: 228 - 237 fF (14 s)\n", "converged value (notebook 4.43, second-order electrostatics on a finer mesh): 174 fF\n" ] } ], "source": [ "start = time.time()\n", "es1 = pm.Electrostatics(mesh, order=1)\n", "C_port = {q: es1.port_capacitance(f\"{q}.pad_left\", f\"{q}.pad_right\") for q in QUADRANT}\n", "del es1\n", "print(\n", " f\"capacitance across the junction seen by this mesh: {min(C_port.values()) * 1e15:.0f} - \"\n", " f\"{max(C_port.values()) * 1e15:.0f} fF ({time.time() - start:.0f} s)\"\n", ")\n", "print(\n", " \"converged value (notebook 4.43, second-order electrostatics on a finer mesh): 174 fF\"\n", ")" ] }, { "cell_type": "markdown", "id": "648ee5ff", "metadata": {}, "source": [ "Trust, but verify: one direct eigensolve of the full model, with every junction open, against the reduced model." ] }, { "cell_type": "code", "execution_count": 5, "id": "6e07bed9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "package mode: direct 6.486131 GHz, reduced 6.486131 GHz\n", "voltage across the open junction of Q_1_1: direct -6373.92 V, reduced -6373.92 V (20 s)\n" ] } ], "source": [ "start = time.time()\n", "(direct,) = fem.eigenmodes(6.5e9)\n", "f_rom, V_rom = rom.eigenmodes(fmin=6e9, fmax=7e9)\n", "k = rom._index(\"Q_1_1\")\n", "sign = np.sign(V_rom[0, k] * direct.voltage(\"Q_1_1\"))\n", "print(\n", " f\"package mode: direct {direct.f / 1e9:.6f} GHz, reduced {f_rom[0] / 1e9:.6f} GHz\"\n", ")\n", "print(\n", " f\"voltage across the open junction of Q_1_1: direct {direct.voltage('Q_1_1'):.2f} V,\"\n", " f\" reduced {sign * V_rom[0, k]:.2f} V ({time.time() - start:.0f} s)\"\n", ")\n", "del direct" ] }, { "cell_type": "markdown", "id": "cc9700ae", "metadata": {}, "source": [ "## 3. Induced EMF\n", "\n", "All junctions open, one mode, 25 voltages, Eq. (11), with the capacitance of Sec. 2:" ] }, { "cell_type": "code", "execution_count": 6, "id": "80114697", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "g_EMF/2pi (MHz): 0_0 -2.68, 1_0 -2.41, 2_0 -2.12, 3_0 -1.16, 4_0 -0.26, 0_1 -7.89 ...\n" ] } ], "source": [ "f_m = f_rom[0]\n", "V_open = sign * V_rom[0]\n", "g_emf = {q: pm.emf_coupling(f_m, V_open[rom._index(q)], C_port[q]) for q in QUADRANT}\n", "print(\n", " \"g_EMF/2pi (MHz):\",\n", " \", \".join(f\"{q[2:]} {g / 1e6:+.2f}\" for q, g in list(g_emf.items())[:6]),\n", " \"...\",\n", ")" ] }, { "cell_type": "markdown", "id": "7fab30b6", "metadata": {}, "source": [ "## 4. Avoided crossing (Fig. 5)\n", "\n", "Put an inductor $L_{\\rm qubit}$ across one junction, leave the rest open, and sweep it. In the reduced model each value of $L_{\\rm qubit}$ is a dense eigenproblem of a hundred-odd unknowns — milliseconds. For qubit (1,1), the paper's example:" ] }, { "cell_type": "code", "execution_count": 7, "id": "1017baf8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def two_modes(q, L):\n", " \"\"\"The two eigenfrequencies nearest the package mode with inductor L on junction q.\"\"\"\n", " f, V = rom.eigenmodes(inductors={q: L}, fmin=1e9, fmax=12e9)\n", " k = np.argsort(np.abs(f - f_m))[:2]\n", " return np.sort(f[k])\n", "\n", "\n", "def splitting(L, q):\n", " f = two_modes(q, L)\n", " return f[1] - f[0]\n", "\n", "\n", "def min_splitting(q):\n", " \"\"\"Scan, then refine: the inductance where the two branches come closest.\"\"\"\n", " grid = np.linspace(1.5e-9, 4.5e-9, 61)\n", " k = np.argmin([splitting(L, q) for L in grid])\n", " return opt.minimize_scalar(\n", " splitting,\n", " bounds=(grid[max(k - 1, 0)], grid[min(k + 1, 60)]),\n", " args=(q,),\n", " method=\"bounded\",\n", " options=dict(xatol=1e-16),\n", " )\n", "\n", "\n", "res = min_splitting(\"Q_1_1\")\n", "two_g = res.fun\n", "Ls = np.linspace(res.x - 0.35e-9, res.x + 0.35e-9, 300)\n", "branches = np.array([two_modes(\"Q_1_1\", L) for L in Ls])\n", "\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "ax.plot(Ls * 1e9, branches[:, 0] / 1e9, color=\"tab:blue\", label=r\"$\\omega_-$\")\n", "ax.plot(Ls * 1e9, branches[:, 1] / 1e9, color=\"tab:red\", label=r\"$\\omega_+$\")\n", "ax.axhline(f_m / 1e9, color=\"k\", ls=\":\", lw=1, label=\"package mode, junctions open\")\n", "ax.set(\n", " xlabel=r\"$L_{\\rm qubit}$ (nH)\",\n", " ylabel=\"frequency (GHz)\",\n", " ylim=(f_m / 1e9 - 0.04, f_m / 1e9 + 0.04),\n", " title=f\"qubit (1,1): 2|g|/2π = {two_g / 1e6:.2f} MHz (paper: {P['two_g_q11'] / 1e6:.1f} MHz) — cf. Fig. 5\",\n", ")\n", "ax.legend(fontsize=8)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "04ef5bc8", "metadata": {}, "source": [ "What do the two modes look like at the bottom of the anticrossing? `rom.modes` returns full finite-element fields from the reduced model. Next to the package mode with every junction open, the two hybrid modes both carry the package field *and* the qubit's own dipole field around qubit (1,1) — one excitation shared between the qubit and the box. The color scale is logarithmic: near its paddles the qubit's field is a hundred times the package field." ] }, { "cell_type": "code", "execution_count": 8, "id": "0f3fcc00", "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "L_star = res.x\n", "open_mode = rom.modes(fmin=f_m - 1e6, fmax=f_m + 1e6)[0]\n", "hybrids = rom.modes(inductors={\"Q_1_1\": L_star}, fmin=f_m - 0.05e9, fmax=f_m + 0.05e9)\n", "zx, zy = np.meshgrid(np.linspace(0.05, 9, 240), np.linspace(0.05, 9, 240))\n", "pts = np.vstack([zx.ravel(), zy.ravel(), np.full(zx.size, package.t + 1e-6)])\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(16, 5.2))\n", "for a, m, title in zip(\n", " ax,\n", " [open_mode] + hybrids,\n", " [\n", " \"package mode, junctions open\",\n", " r\"$\\omega_-$ at the anticrossing\",\n", " r\"$\\omega_+$ at the anticrossing\",\n", " ],\n", "):\n", " E = m.field(pts)\n", " mag = np.hypot(E[0], E[1]).reshape(zx.shape) / 1e6\n", " im = a.pcolormesh(\n", " zx, zy, mag, cmap=\"magma\", norm=LogNorm(vmin=2, vmax=600), shading=\"auto\"\n", " )\n", " for poly in package.metals.values():\n", " a.fill(poly[:, 0], poly[:, 1], facecolor=\"none\", edgecolor=\"w\", lw=0.5)\n", " a.set(\n", " xlim=(0.05, 9),\n", " ylim=(0.05, 9),\n", " aspect=\"equal\",\n", " xlabel=\"x (mm)\",\n", " title=f\"{title}\\n{m.f / 1e9:.4f} GHz\",\n", " )\n", "plt.colorbar(\n", " im, ax=ax, shrink=0.8, label=r\"|E$_\\parallel$| at the silicon surface (MV/m, 1 J)\"\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cee5423b", "metadata": {}, "source": [ "On this coarse full-box mesh the splitting comes out larger than the paper's 12.6 MHz: the qubits of this discrete model carry the larger capacitance of Sec. 2. The converged induced-EMF couplings of notebook 4.44, $|A|/2\\pi \\approx$ 15.6 MHz, give $2|g|/2\\pi = 2|A|\\cos(0.15\\pi)\\sin(0.15\\pi) \\approx$ 12.6 MHz for this qubit — the paper's value." ] }, { "cell_type": "markdown", "id": "7c7e5524", "metadata": {}, "source": [ "The same minimization, automated over the quadrant:" ] }, { "cell_type": "code", "execution_count": 9, "id": "1203c14b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "25 avoided crossings in 42 s\n" ] } ], "source": [ "start = time.time()\n", "g_ac = {}\n", "for q in QUADRANT:\n", " g_ac[q] = (\n", " min_splitting(q).fun / 2 * np.sign(g_emf[q])\n", " ) # the splitting gives |g|; the sign is copied for plotting\n", "print(f\"25 avoided crossings in {time.time() - start:.0f} s\")" ] }, { "cell_type": "markdown", "id": "aeab9fc1", "metadata": {}, "source": [ "## 5. Energy participation\n", "\n", "Fix the inductor so the qubit sits about 0.23 GHz below the package mode (the paper uses 6.25 GHz), solve for the package-like mode, and read the voltage across the inductor. With the mode normalized to $E_m$ = 1 J, Eq. (9) and Eq. (10) give\n", "\n", "$$g = \\frac{\\omega_m^2-\\omega_n^2}{2\\sqrt{\\omega_m\\omega_n}}\\;\\frac{V_{n}}{\\omega_m\\sqrt{2E_mL_{\\rm qubit}}}\\;\\sqrt{\\frac{\\omega_m}{\\omega_n}} ,$$\n", "\n", "with $\\omega_n$ the qubit-like mode of the same solve. The sign of $V_n$ is the sign of $g$." ] }, { "cell_type": "code", "execution_count": 10, "id": "2d3322f2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "L_qubit = 2.542 - 2.639 nH; 25 EPR extractions in 5 s\n" ] } ], "source": [ "F_QUBIT = 6.25e9\n", "\n", "\n", "def qubit_frequency(q, L):\n", " \"\"\"Frequency of the qubit-like mode: the one with the largest junction voltage relative to the probe.\"\"\"\n", " f, V = rom.eigenmodes(inductors={q: L}, fmin=1e9, fmax=12e9)\n", " ratio = np.abs(V[:, rom._index(q)]) / np.abs(V[:, rom._index(\"probe\")])\n", " return f[np.argmax(ratio)]\n", "\n", "\n", "def inductance_for(q, f_target):\n", " \"\"\"The junction inductance that puts qubit q's mode at f_target.\"\"\"\n", " return opt.brentq(\n", " lambda L: qubit_frequency(q, L) - f_target, 1.0e-9, 8.0e-9, xtol=1e-16\n", " )\n", "\n", "\n", "def epr(q):\n", " L = inductance_for(q, F_QUBIT)\n", " f, V = rom.eigenmodes(inductors={q: L}, fmin=1e9, fmax=12e9)\n", " m = np.argmin(np.abs(f - f_m)) # the package-like mode\n", " n = np.argmin(np.abs(f - F_QUBIT)) # the qubit-like mode\n", " wm, wn = TWO_PI * f[m], TWO_PI * f[n]\n", " Vq = V[m, rom._index(q)] * sign\n", " lhs = (wm**2 - wn**2) / (2 * np.sqrt(wm * wn)) * Vq / (wm * np.sqrt(2 * 1.0 * L))\n", " return lhs * np.sqrt(wm / wn) / TWO_PI, L\n", "\n", "\n", "start = time.time()\n", "g_epr, L_epr = {}, {}\n", "for q in QUADRANT:\n", " g_epr[q], L_epr[q] = epr(q)\n", "print(\n", " f\"L_qubit = {min(L_epr.values()) * 1e9:.3f} - {max(L_epr.values()) * 1e9:.3f} nH;\"\n", " f\" 25 EPR extractions in {time.time() - start:.0f} s\"\n", ")" ] }, { "cell_type": "markdown", "id": "776b4f0d", "metadata": {}, "source": [ "## 6. Impedance matrix\n", "\n", "Shunt the junction of one qubit and the probe, leave the other qubits open, and compute the 2 × 2 impedance matrix from 6 to 7 GHz with 0.1 MHz resolution, as in the paper — refined around the two poles, because for a weakly coupled qubit the package pole sits within a kHz of a zero. The reduced model knows where the poles are, and evaluating it on a fine grid costs nothing: an adaptive frequency sweep. The paper's 3.6 nH shunt put its qubit 0.39 GHz below the package mode; our qubit has a larger capacitance on this mesh (Sec. 2), so the shunt is chosen for the same detuning. The paper shunts its wall port with 1 pH; our probe reaches the package mode more weakly than a whole wall, and with 1 pH its pole and the zero beside it fall within one 0.1 MHz step, so it gets 0.1 nH. Then fit with the procedure of Appendix D (notebook 4.42) and compute $g$ from the fitted circuit." ] }, { "cell_type": "code", "execution_count": 11, "id": "c385485b", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "shunt 2.74 nH; poles [6.09613078 6.48907592] GHz, relative misfit 9.7e-05\n", " this fit paper\n", " L'_n (nH) 2.738 3.630\n", " C_n (fF) 231.133 173.800\n", "dL'_n (nH) 0.211 0.320\n", "g/2pi (MHz) 2.680 2.420\n" ] } ], "source": [ "L_PROBE = 0.1e-9 # probe shunt\n", "\n", "\n", "def impedance_fit(q):\n", " L = inductance_for(q, f_m - 0.39e9)\n", " shunts = {q: L, \"probe\": L_PROBE}\n", " # 0.1 MHz steps from 6 to 7 GHz, as in the paper, refined to 0.1 kHz around the two poles:\n", " # the reduced model knows where they are, as an adaptive frequency sweep would\n", " poles, _ = rom.eigenmodes(inductors=shunts, fmin=6e9, fmax=7e9)\n", " fine = [\n", " np.linspace(p - 0.2e6, p + 0.2e6, 4001) + 37.3 for p in poles\n", " ] # 100 Hz steps, offset so none lands on a pole\n", " f = np.union1d(np.linspace(6.0e9, 7.0e9, 10001), np.concatenate(fine))\n", " Z = rom.impedance(f, inductors=shunts, ports=[\"probe\", q])\n", " return pm.fit_impedance(TWO_PI * f, Z), Z, L, f\n", "\n", "\n", "fit00, Z00, L00, f_grid = impedance_fit(\"Q_0_0\")\n", "fig, ax = plt.subplots(1, 3, figsize=(12, 3.3), sharex=True)\n", "for a, (r, c_), name in zip(\n", " ax, ((0, 0), (1, 1), (0, 1)), (\"probe\", \"qubit (0,0)\", \"transfer\")\n", "):\n", " a.semilogy(f_grid / 1e9, np.abs(Z00[:, r, c_]))\n", " a.set(title=f\"|Z| {name} (Ω)\", xlabel=\"frequency (GHz)\")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "gC, gL, g00 = fit00.couplings()\n", "print(\n", " f\"shunt {L00 * 1e9:.2f} nH; poles {fit00.poles / TWO_PI / 1e9} GHz, relative misfit {fit00.rms_error:.1e}\"\n", ")\n", "print(f\"{'':>10} {'this fit':>9} {'paper':>8}\")\n", "for name, ours, theirs, s in (\n", " (\"L'_n (nH)\", fit00.Lp[1, 1], P[\"zfit_q00\"][\"Lp_n\"], 1e9),\n", " (\"C_n (fF)\", fit00.C[1, 1] + fit00.C[0, 1], P[\"zfit_q00\"][\"C_n\"], 1e15),\n", " (\"dL'_n (nH)\", fit00.dL[1, 1], P[\"zfit_q00\"][\"dL_n\"], 1e9),\n", " (\"g/2pi (MHz)\", abs(g00), P[\"zfit_q00\"][\"g\"], 1e-6),\n", "):\n", " print(f\"{name:>10} {ours * s:9.3f} {theirs * s:8.3f}\")" ] }, { "cell_type": "markdown", "id": "7c9a6f76", "metadata": {}, "source": [ "The fit returns the shunt we put in, and the qubit's capacitance and geometric inductance as *this* model has them: the capacitance of Sec. 2 rather than the converged 174 fF, and a geometric inductance of a few tenths of a nH, like the paper's 0.32 nH. The package side of the circuit need not match the paper at all: our probe is not the paper's wave port, and a different port reaches the same distributed mode through different $C_c$, $M$ and $\\delta L'_m$ (the paper's own warning about separating $g_C$ from $g_L$). Only $g$ is port-independent. Now the quadrant:" ] }, { "cell_type": "code", "execution_count": 12, "id": "7152c9b9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "25 impedance fits in 16 s\n" ] } ], "source": [ "start = time.time()\n", "g_z = {}\n", "for q in QUADRANT:\n", " fit, _, _, _ = impedance_fit(q)\n", " g_z[q] = fit.couplings()[2]\n", "print(f\"25 impedance fits in {time.time() - start:.0f} s\")" ] }, { "cell_type": "markdown", "id": "d355c840", "metadata": {}, "source": [ "## 7. Side by side (Fig. 7)\n", "\n", "The qubits are numbered 1 to 25 row by row from the corner, (0,0) = 1, (4,0) = 5, (0,1) = 6, and so on. The sign convention is that of the induced EMF; the avoided crossing gives magnitudes only." ] }, { "cell_type": "code", "execution_count": 13, "id": "de6b9c84", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "largest relative difference between methods: 4.1% (paper: 4.8%)\n", "EPR below the other three by 3.7% on average; counting only the junction's share of the qubit inductance predicts 3.6% (notebook 4.42)\n", "average relative difference: 3.8% (paper: 2.9%)\n", " EPR: mean ratio to the four-method average 0.972\n", " avoided crossing: mean ratio to the four-method average 1.009\n", " induced EMF: mean ratio to the four-method average 1.009\n", " impedance matrix: mean ratio to the four-method average 1.010\n" ] } ], "source": [ "methods = {\n", " \"EPR\": g_epr,\n", " \"avoided crossing\": g_ac,\n", " \"induced EMF\": g_emf,\n", " \"impedance matrix\": g_z,\n", "}\n", "G = np.array([[abs(methods[m][q]) for q in QUADRANT] for m in methods]) # (4, 25), Hz\n", "number = np.arange(1, 26)\n", "\n", "fig, ax = plt.subplots(figsize=(11, 4))\n", "for k, (name, marker) in enumerate(zip(methods, \"os^D\")):\n", " ax.plot(number + (k - 1.5) * 0.12, G[k] / 1e6, marker, ms=5, label=name)\n", "ax.set(\n", " xlabel=\"qubit number\",\n", " ylabel=\"|g|/2π (MHz)\",\n", " xticks=number,\n", " title=\"four methods, one full-wave model — cf. paper Fig. 7\",\n", ")\n", "ax.legend(ncol=4, fontsize=9, loc=\"upper center\", bbox_to_anchor=(0.5, -0.14))\n", "inset = ax.inset_axes([0.02, 0.52, 0.16, 0.42])\n", "for q, nmb in zip(QUADRANT, number):\n", " i, j = pm.Package.qubit_index(q)\n", " inset.text(i, j, str(nmb), ha=\"center\", va=\"center\", fontsize=6)\n", "inset.set(xlim=(-0.5, 4.5), ylim=(-0.5, 4.5), xticks=[], yticks=[])\n", "inset.set_title(\"numbering\", fontsize=7)\n", "plt.show()\n", "\n", "spread = (G.max(axis=0) - G.min(axis=0)) / G.mean(axis=0)\n", "print(\n", " f\"largest relative difference between methods: {spread.max():.1%} (paper: {P['max_rel_diff']:.1%})\"\n", ")\n", "ratio_epr = np.mean(G[0] / G[1:].mean(axis=0))\n", "print(\n", " f\"EPR below the other three by {1 - ratio_epr:.1%} on average; counting only the junction's share of the\"\n", " f\" qubit inductance predicts {1 - np.sqrt(L00 / (L00 + fit00.dL[1, 1])):.1%} (notebook 4.42)\"\n", ")\n", "print(f\"average relative difference: {spread.mean():.1%} (paper: 2.9%)\")\n", "for name, row in zip(methods, G):\n", " print(\n", " f\"{name:>17}: mean ratio to the four-method average {np.mean(row / G.mean(axis=0)):.3f}\"\n", " )" ] }, { "cell_type": "markdown", "id": "a8673ad0", "metadata": {}, "source": [ "The same data as maps of the quadrant, one per method, on a common color scale, and the spread between methods qubit by qubit:" ] }, { "cell_type": "code", "execution_count": 14, "id": "3e96dcb4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 5, figsize=(18, 3.8))\n", "vmax = G.max() / 1e6\n", "for a, name, row in zip(ax, methods, G):\n", " im = a.imshow(\n", " row.reshape(5, 5) / 1e6, origin=\"lower\", cmap=\"viridis\", vmin=0, vmax=vmax\n", " )\n", " a.set(\n", " title=name, xlabel=\"column i\", ylabel=\"row j\", xticks=range(5), yticks=range(5)\n", " )\n", "plt.colorbar(im, ax=ax[:4], shrink=0.8, label=\"|g|/2π (MHz)\")\n", "im = ax[4].imshow(spread.reshape(5, 5) * 100, origin=\"lower\", cmap=\"Greys\", vmin=0)\n", "for k, v in enumerate(spread):\n", " ax[4].text(\n", " k % 5,\n", " k // 5,\n", " f\"{v * 100:.1f}\",\n", " ha=\"center\",\n", " va=\"center\",\n", " fontsize=8,\n", " color=\"tab:red\",\n", " )\n", "ax[4].set(\n", " title=\"spread between methods (%)\",\n", " xlabel=\"column i\",\n", " xticks=range(5),\n", " yticks=range(5),\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2b5413c2", "metadata": {}, "source": [ "## What this tells you\n", "\n", "- **They agree.** Four simulations that put four different things in the junction — nothing, a fixed inductor, a swept inductor, a port — return the same coupling for every qubit, within a few percent. The choice of method is a matter of convenience, as the paper concludes.\n", "- **Agreement is not convergence.** All four run on the same coarse full-box mesh and share its discretization error; the converged couplings are those of notebook 4.44 (|A|/2π ≈ 15.6 MHz). Refining the paddle edges moves all four together.\n", "- **The spread has a structure.** EPR sits lowest, as in the paper, and by the amount notebook 4.42 predicts: Eq. (8) counts only the junction's share of the qubit's inductance and leaves out the geometric inductance of the paddles — here part of the field around the junction, a few tenths of a nH according to the impedance fit.\n", "- **Cost decides.** The induced EMF needs one eigenmode for all qubits and one capacitance per qubit. EPR and the avoided crossing need a solve per qubit (per inductance, for the crossing); the impedance matrix needs a driven sweep and a fit per qubit. Here the reduced model makes the extra solves nearly free — a direct approach would need 25 separate factorizations for EPR alone.\n", "\n", "## Where to go next\n", "\n", "- **Tighten the mesh** around the junctions (`h_junction=0.05` in `MESH`) and watch all four methods move together — the agreement between methods is not a substitute for convergence (notebook 4.44, Sec. 4).\n", "- **Qubit–qubit couplings.** The same port model holds all 25 junctions: put inductors on two neighboring qubits and look for their avoided crossing — the paper notes the methods apply to qubit–qubit couplings unchanged.\n", "- **A real processor** adds a ground plane, readout resonators and couplers; each is more geometry for the same mesher and solver, and more ports for the same reduced model." ] }, { "cell_type": "markdown", "id": "2f6cca11", "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 }