{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "skBHazUjfEwt" }, "source": [ "# Iterative Maximum Likelihood Estimation (iMLE)\n", "\n", "Shahnawaz Ahmed, Chalmers University of Technology, Sweden \n", "Email: shahnawaz.ahmed95gmail.com \n", "GitHub: quantshah\n", "\n", "### Introduction\n", "\n", "Quantum State Tomography (QST) is the process of determining an unknown quantum state by making measurements on the system and using the measurement data to reconstruct the density matrix of the state. In this notebook, we will use QuTiP for the tomography of a cavity by counting photon number statistics (see [1, 2]). The data is from a \"displace-and-measure\" method on which we apply a statistical inference technique - iterative Maximum Likelihood Estimation (iMLE) [2] to reconstruct the full density matrix of an optical quantum state.\n", "\n", "We consider a superposition of three coherent states (a three headed cat). We will use QuTiP to reproduce Fig 1(d) of Ref~[1] and reconstruct the Husimi Q function of a quantum state from measurements at the 5 marked points in the phase space.\n", "\n", "![QuTiP logo](./images/tomography-result.png)\n", "\n", "This notebook only shows an implementation of the basic iMLE which could be slow due to noise in the data (see below). We can consider other maximum likelihood methods for faster convergence such as the \"diluted\" MLE (Ref [3]) or the \"superfast\" MLE (Ref [4]). We can also consider neural-network based tomography using generative adversarial neural networks (Ref [5]).\n", "\n", "In https://github.com/quantshah/qst-cgan/blob/master/examples/qst-cgan-vs-imle.ipynb we can find an example where iMLE fails to reconstruct a state even without noise while the neural-network-based approach works successfully. This failure of iMLE seems to be due to not selecting the correct measurements for iMLE explored in other notebooks in the repository https://github.com/quantshah/qst-cgan. Note that the Husimi Q function is considered as the data in the notebooks in Ref [5] while here we consider the generalized Q function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Shen, Chao, et al. \"Optimized tomography of continuous variable systems using excitation counting.\" Physical Review A 94.5 (2016): 052327. \n", "Link: https://arxiv.org/abs/1606.07554\n", "\n", "[2] Řeháček, J., Z. Hradil, and M. Ježek. \"Iterative algorithm for reconstruction of entangled states.\" Physical Review A 63.4 (2001): 040303.\n", "Link: https://arxiv.org/abs/quant-ph/0009093\n", "\n", "[3] Řeháček, Jaroslav, et al. \"Diluted maximum-likelihood algorithm for quantum tomography.\" Physical Review A 75.4 (2007): 042108. Link: https://arxiv.org/abs/quant-ph/0611244\n", "\n", "[4] Shang, Jiangwei, Zhengyun Zhang, and Hui Khoon Ng. \"Superfast maximum-likelihood reconstruction for quantum tomography.\" Physical Review A 95.6 (2017): 062336. Link: https://arxiv.org/abs/1609.07881\n", "\n", "[5] Ahmed, Shahnawaz, et al. \"Quantum state tomography with conditional generative adversarial networks.\" arXiv preprint arXiv:2008.03240 (2020). Link: https://arxiv.org/abs/2008.03240" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# imports \n", "\n", "import numpy as np\n", "\n", "from qutip import Qobj, rand_dm, fidelity, displace, qdiags, qeye, expect\n", "from qutip.states import coherent, coherent_dm, thermal_dm, fock_dm\n", "from qutip.random_objects import rand_dm\n", "from qutip.visualization import plot_wigner, hinton, plot_wigner_fock_distribution\n", "from qutip.wigner import qfunc\n", "import qutip\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import animation, colors\n", "\n", "\n", "from IPython.display import clear_output" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Displacement operation\n", "\n", "The measurements for determining optical quantum states usually rely on finding the probability of observing a certain number of photons in the cavity, i.e., measuring the photon number operator (occupation) $|n \\rangle \\langle n|$ after displacing the state by applying the displacement operator $$ D(\\beta) = e^{\\beta a^{\\dagger} - \\beta^*a}.$$\n", "\n", "Let us look at the effect of a displacement on a coherent state by applying a displacement $2 + 2i$ on the vacuum state. We can use the `displace` function in QuTiP to construct our displacement operator and apply it to the state vector for vacuum using the function `coherent`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": {}, "colab_type": "code", "id": "wmzuSKdYfEwu" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hilbert_size = 32\n", "psi = coherent(hilbert_size, 0)\n", "d = displace(hilbert_size, 2+2j)\n", "\n", "fig, ax = plt.subplots(1, 4, figsize=(19, 4))\n", "\n", "plot_wigner_fock_distribution(psi, fig=fig, axes=[ax[0], ax[1]])\n", "plot_wigner_fock_distribution(d*psi, fig=fig, axes=[ax[2], ax[3]])\n", "\n", "ax[0].set_title(r\"Initial state, $\\psi_{vac} = |0 \\rangle$\")\n", "ax[2].set_title(r\"Displaced state, $D(\\alpha=2+2i )\\psi_{vac}$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Optical quantum states in the fock basis\n", "\n", "In the fock basis, we can describe optical quantum states as $|\\psi \\rangle = \\sum_n^{N_{cut}}c_n |n \\rangle$, where $N_{cut}$ is the photon number cutoff which truncates the Hilbert space and $|{c_n}|^2$ is the probability of observing $n$ photons. The coefficients $c_n$ can be complex-valued. The vaccum state $\\psi_{vac} = |0 \\rangle$ or a superposition of fock states containing two and three photons $\\psi_{fock} = \\frac{1}{\\sqrt{2}}(|2 \\rangle + |3 \\rangle$ are some examples of simple optical quantum states. The coherent state is a displaced fock state $\\psi_{\\texttt{coherent}(\\alpha)} = D(\\alpha) |0 \\rangle$ and a superposition of two such coherent states is defined as a CAT state, \n", "$$\\psi_{\\texttt{CAT}(\\alpha)} = \\frac{1}{N}[\\psi_{\\texttt{coherent}}(\\alpha) + \\psi_{\\texttt{coherent}}(-\\alpha)]$$ where $N$ is the normalization constant.\n", "\n", "### A superposition of three coherent states\n", "\n", "Let us construct a quantum state by taking the superposition of three coherent states. We first consider the state vector for the superposition of three coherent states, $\\psi$ with $\\alpha = (2, -2 - i, -2 + i)$. Note that the method `.unit()` in QuTiP gives us the normalized state. Then we find the density matrix of the state as $$ \\rho = | \\psi \\rangle \\langle \\psi |$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": {}, "colab_type": "code", "id": "om2M8513fEw0" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alpha_range = 2\n", "alphas = np.array([alpha_range, -alpha_range - 1j*alpha_range,\n", " -alpha_range + 1j*alpha_range])\n", "\n", "psi = sum([coherent(hilbert_size, a) for a in alphas])\n", "psi = psi.unit()\n", "rho = psi*psi.dag()\n", "\n", "\n", "fig, ax = plot_wigner_fock_distribution(rho, figsize=(9, 4))\n", "ax[0].set_title(\"Superposition of three coherent states\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Displace and measure - the generalized Q function\n", "\n", "The expectation value of the photon number operators after applying a displacement $D(\\beta_i)$ to the state density matrix $\\rho = |\\psi \\rangle \\langle \\psi|$ forms the so-called generalised $Q$ function:\n", "\n", "$$Q_n^{\\beta} = Tr[|n \\rangle \\langle n|D(-\\beta) \\rho D^\\dagger(-\\beta)$$\n", "\n", "This type of \"displace-and-measure\" techniques can be seen as a generalization of some of the known observables in quantum optics, e.g., Husimi Q function $\\frac{1}{\\pi}Q_0^{\\beta}$ which measures the vaccum state probability or the Wigner function which measures photon parity, $W(\\beta) = (2/\\pi)\\sum_n (-1)^n Q_n^{\\beta}$.\n", "\n", "# Data\n", "We apply displacements $\\beta_i$ (left) marked as x on our state and measure expectation values of the photon number operators $|n \\rangle \\langle n|$. These are simply the diagonal elements of the density matrix. Note that alternatively we can just construct displaced photon number operators and measure their expectation values.\n", "\n", "$$D(-\\beta_i)|n \\rangle \\langle n| D^{\\dagger}(-\\beta_i)$$\n", "\n", "We can see $Q_n^{\\beta}$ for various values of $Q_n^{\\beta_i}$ (colored bar plots) which forms the data, $d_i$. The density matrix itself is shown as a hinton plot on the right. The size of the boxes in the hinton plot represent the magnitude of the density matrix element and the color reflects the absolute value being positive or negative." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": {}, "colab_type": "code", "id": "A53Dj0pZfEw2" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def measure_q(beta, rho):\n", " \"\"\"\n", " Measures the generalized q function values for the state density matrix.\n", " \n", " Parameters\n", " ---------- \n", " beta: np.complex\n", " A complex displacement.\n", "\n", " rho:\n", " The density matrix as a QuTiP Qobj (`qutip.Qobj`)\n", "\n", " Returns\n", " -------\n", " population: ndarray\n", " A 1D array for the probabilities for populations.\n", " \"\"\"\n", " hilbertsize = rho.shape[0]\n", " # Apply a displacement to the state and then measure the diagonals.\n", "\n", " D = displace(hilbertsize, -beta)\n", " rho_disp = D*rho*D.dag()\n", " \n", " # measure all the elements in the diagonal\n", " populations = np.real(np.diagonal(rho_disp.full()))\n", " return populations\n", "\n", "\n", "betas = [1.7, -2, 2.5j, -2.1 - 2.1j, -2 + 2j]\n", "generalized_Q = [measure_q(b, rho) for b in betas]\n", "\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(15, 4))\n", "indices = np.arange(hilbert_size)\n", "\n", "plot_wigner(rho, fig, ax[0])\n", "ax[0].scatter(np.real(betas), np.imag(betas), marker=\"x\")\n", "ax[0].set_title(r\"Measurement $\\beta$ values\")\n", "\n", "for i in range(len(betas)):\n", " ax[1].bar(indices, generalized_Q[i],\n", " label = r\"$beta = {:.2f}$\".format(betas[i]))\n", "\n", "ax[1].set_title(\"Population measurement statistics\")\n", "ax[1].set_xlabel(\"n\")\n", "ax[1].set_ylabel(\"Photon number probability\")\n", "\n", "hinton(rho, ax=ax[2])\n", "ax[2].set_xlabel(\"Hinton plot of density matrix\")\n", "ax[1].legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "AxfEf06TfEw4" }, "source": [ "### Iterative Maximum Likelihood Estimation\n", "\n", "The measurement statistics from different measurement settings, i.e., values of displacements could be made informationally complete such that they contain the full information required to reconstruct the state, (see Ref [1]). Once we have the data, the iterative Maximum Likelihood Estimation (iMLE) method [2] can be used to start from a random guess of the density matrix and determine the full density matrix by repeatedly applying an operator $R$ to a randomly initialized density matrix.\n", "\n", "$R$ is a sum of projection operators into the measured basis - the displaced photon number operator in this case, $M_i = D(-\\beta_i) |n \\rangle \\langle n| D^{\\dagger}(-\\beta_i)$. Each such operator is weighted by the ratio of observed frequency of the measurement (empirical probability from experimental data, $d_i$) and the estimate of the same from the density matrix, $Tr[M_i \\rho]$\n", "\n", "$$R = \\sum_i \\frac{d_i}{Tr[M_i \\rho]} M_i$$\n", "\n", "Then, we iteratively apply $R$ as $$\\rho_{k+1} = R \\rho_{k} R$$ until convergence (with trace normalization after each iteration) to get the density matrix from the measured data.\n", "\n", "### Constructing the R operator from current estimate of the density matrix" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def construct_R(hilbert_size, betas, ops=None):\n", " \"\"\"\n", " Calculates the set of operators R in a displace and measure method.\n", "\n", " Parameters\n", " ----------\n", " hilbert_size (int):\n", " The hilbert space size\n", " beta: list_like\n", " A list of the displacements that were applied to the state before\n", " measurement.\n", "\n", " op: list of :class:`qutip.Qobj`\n", " Measurement operators such as photon occupation |n>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xvec = np.linspace(-7.5, 7.5, 100)\n", "yvec = np.linspace(-7.5, 7.5, 100)\n", "\n", "q_state = qfunc(rho, xvec, yvec)\n", "q_reconstruction = qfunc(rho_reconstructed, xvec, yvec)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 3))\n", "norm = colors.TwoSlopeNorm(vmin=-1e-9, vcenter=0, vmax=np.max(q_state))\n", "\n", "ax[0].pcolor(xvec, yvec, q_state, norm=norm, cmap=\"RdBu_r\", shading='auto')\n", "im = ax[1].pcolor(xvec, yvec, q_reconstruction, norm=norm, cmap=\"RdBu_r\", shading='auto')\n", "\n", "ax[0].scatter(np.real(betas), np.imag(betas), marker=\"x\", s=20)\n", "ax[0].set_title(r\"Target state ($Q$ function)\")\n", "\n", "ax[1].set_title(\"Reconstructed state ($Q$ function)\")\n", "\n", "ax[0].set_xlabel(r\"Re($\\beta$)\", fontsize=13)\n", "ax[0].set_ylabel(r\"Im($\\beta$)\", fontsize=13)\n", "ax[1].set_xlabel(r\"Re($\\beta$)\", fontsize=13)\n", "plt.colorbar(im, ax=[ax[0], ax[1]])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# We can also look at the density matrix of the states using Hinton plots\n", "\n", "The Hinton plot for the complex-valued density matrix visualizes the density matrix elements. The size and shading of a blob in the plot is proportional to the magnitude of the density matrix and the color red (blue) is determined by whether the real part of the density matrix element is positive (negative). Let us look at the first 16 elements only of the reconstructed density matrix in comparison to the target." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = hinton(Qobj(rho[:16, :16]))\n", "ax.set_title(\"Target state\")\n", "plt.show()\n", "hinton(Qobj(rho_t[-1][:16, :16]))\n", "ax.set_title(\"Reconstructed state\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Discussion\n", "\n", "In this tutorial, we have considered ideal measurements and have not introduced any noise in the data. In a real experiment, there will be noise both due to experimental errors as well as repetitions of measurements. A simple way to test the effects of noise is to include some Gaussian noise (with zero mean) in the data as follows:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "generalized_Q_noisy = generalized_Q + np.abs(np.random.normal(loc=0, scale=0.05, size = [len(betas), hilbert_size]))\n", "\n", "plt.figure(figsize=(5,3))\n", "\n", "for i in range(1):\n", " plt.bar(indices, generalized_Q_noisy[i],\n", " label = \"noisy\")\n", " plt.bar(indices, generalized_Q[i], fill=False,\n", " label = \"ideal\")\n", "plt.xlabel(\"n\")\n", "plt.ylabel(\"p(n)\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Let us construct an iMLE function that we can reuse" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 199; Fidelity: 0.6147424388544597\n" ] } ], "source": [ "def imle(data, r_ops, initial_rho=None, max_iter=200):\n", " \"\"\"\n", " Implements the iterative maximum likelihood estimation algorithm.\n", " \n", " Args:\n", " data (array): An array representing measured data for a set of operators.\n", " r_ops (list of `qutip.Qobj`): The list of iterative operators applied\n", " for state reconstruction computed using the \n", " set of measurement operators.\n", " initial_rho (`qutip.Qobj`): Initial density matrix estimate\n", " default: maximally mixed state (I/n).\n", " max_iter (int): The number of iterations to run .\n", " \"\"\"\n", " if initial_rho is not None:\n", " rho_reconstructed = initial_rho\n", " else:\n", " rho_reconstructed = qeye(hilbert_size)/hilbert_size\n", "\n", " rho_t = []\n", " rho_t.append(rho_reconstructed)\n", "\n", " for iterations in range(max_iter):\n", " R = 0*qeye(hilbert_size)\n", "\n", " for i in range(len(r_ops)):\n", " # for all the n photons \n", " for n in range(hilbert_size):\n", " r = r_ops[i][n]\n", " R += (data[i][n]/(expect(r, rho_reconstructed) + 1e-20))*r\n", "\n", " rho_reconstructed = R*rho_reconstructed*R\n", "\n", " # Trace renorm\n", " rho_reconstructed = rho_reconstructed/rho_reconstructed.tr()\n", " rho_t.append(rho_reconstructed)\n", "\n", " # Compute fidelity\n", " f = fidelity(rho_reconstructed, rho)\n", " print(r\"Iteration {}; Fidelity: {}\".format(iterations, f))\n", " clear_output(wait=True)\n", " \n", " return rho_t\n", "\n", "\n", "rho_t_noisy = imle(generalized_Q_noisy, r_ops)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing the state reconstructed from noisy data\n", "\n", "We find that adding a small amount of Gaussian noise to the data leads to a poorer reconstruction using 200 iterations. The general features of the state are present in the reconstruction, however the fidelity is very low." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q_reconstruction_noisy = qfunc(rho_t_noisy[-1], xvec, yvec)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 3))\n", "norm = colors.TwoSlopeNorm(vmin=-1e-9, vcenter=0, vmax=np.max(q_state))\n", "\n", "ax[0].pcolor(xvec, yvec, q_state, norm=norm, cmap=\"RdBu_r\", shading='auto')\n", "im = ax[1].pcolor(xvec, yvec, q_reconstruction_noisy, norm=norm, cmap=\"RdBu_r\", shading='auto')\n", "\n", "ax[0].scatter(np.real(betas), np.imag(betas), marker=\"x\", s=20)\n", "ax[0].set_title(r\"Target state ($Q$ function)\")\n", "\n", "ax[1].set_title(\"Reconstructed state ($Q$ function)\")\n", "\n", "ax[0].set_xlabel(r\"Re($\\beta$)\", fontsize=13)\n", "ax[0].set_ylabel(r\"Im($\\beta$)\", fontsize=13)\n", "ax[1].set_xlabel(r\"Re($\\beta$)\", fontsize=13)\n", "plt.colorbar(im, ax=[ax[0], ax[1]])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# More iterations\n", "\n", "Let us now use 1000 iterations and run iMLE again. We find that the fidelity improves slightly but the increase in fidelity is very small compared to the number of iterations. We can consider other maximum likelihood methods for faster convergence such as the \"diluted\" MLE (Ref [3]) or the \"superfast\" MLE (Ref [4]). We can also consider neural-network based tomography using generative adversarial neural networks (Ref [5]). " ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration 999; Fidelity: 0.6310074791923832\n" ] } ], "source": [ "rho_t_noisy = imle(generalized_Q_noisy, r_ops, max_iter=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP details" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "QuTiP: Quantum Toolbox in Python\n", "================================\n", "Copyright (c) QuTiP team 2011 and later.\n", "Current admin team: Alexander Pitchford, Nathan Shammah, Shahnawaz Ahmed, Neill Lambert, Eric Giguère, Boxi Li, Jake Lishman and Simon Cross.\n", "Board members: Daniel Burgarth, Robert Johansson, Anton F. Kockum, Franco Nori and Will Zeng.\n", "Original developers: R. J. Johansson & P. D. Nation.\n", "Previous lead developers: Chris Granade & A. Grimsmo.\n", "Currently developed through wide collaboration. See https://github.com/qutip for details.\n", "\n", "QuTiP Version: 4.6.1\n", "Numpy Version: 1.19.2\n", "Scipy Version: 1.5.2\n", "Cython Version: 0.29.23\n", "Matplotlib Version: 3.4.2\n", "Python Version: 3.7.6\n", "Number of CPUs: 6\n", "BLAS Info: Generic\n", "OPENMP Installed: False\n", "INTEL MKL Ext: False\n", "Platform Info: Darwin (x86_64)\n", "Installation path: /Users/shahnawaz/miniconda3/lib/python3.7/site-packages/qutip\n", "================================================================================\n", "Please cite QuTiP in your publication.\n", "================================================================================\n", "For your convenience a bibtex reference can be easily generated using `qutip.cite()`\n" ] } ], "source": [ "qutip.about()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "imle-qutip-example.ipynb", "provenance": [], "version": "0.3.2" }, "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 1 }