{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculating Quantum Processes\n",
    "In this example we would like to calculate the error transfer matrices (quantum processes of the error channels) of a two-qubit gateset for singlet-triplet qubits subject to $1/f$-like charge noise that are manipulated via a detuning-controlled exchange interaction. The error transfer matrix is here understood as the Liouville representation of the ensemble averaged error superpropagator $\\langle\\tilde{\\mathcal{U}}(\\tau)\\rangle$. It is completely characterized by the cumulant function,\n",
    "\n",
    "$$\n",
    "\\langle\\mathcal{\\tilde{U}}(\\tau)\\rangle = \\exp\\mathcal{K}(\\tau),\n",
    "$$\n",
    "\n",
    "where $\\mathcal{K}(\\tau)$ is a $d^2\\times d^2$ matrix ($d$ being the dimension of the quantum system) expressed in a basis of orthonormal Hermitian matrices $\\mathcal{C}=\\{C_i\\}_{i=0}^{d^2-1}$. It captures the deviation from the identity channel and can be used to extract many useful quantities that describe the channel. For instance, the entanglement infidelity of the pulse is given by\n",
    "\n",
    "$$\n",
    "\\mathcal{I}_\\mathrm{e} = 1 - \\frac{1}{d^2}\\mathrm{tr}\\,\\langle\\tilde{\\mathcal{U}}(\\tau)\\rangle \\approx -\\mathrm{tr}\\,\\mathcal{K}(\\tau),\n",
    "$$\n",
    "\n",
    "where the approximation holds for small noise, and the state fidelity (probability that a state is returned to itself) for pure input states by\n",
    "\n",
    "$$\n",
    "p_{j\\rightarrow j} = \\langle\\!\\langle\\rho_j\\rvert\\mathcal{Q}\\langle\\mathcal{\\tilde{U}}\\rangle\\lvert\\rho_j\\rangle\\!\\rangle\n",
    "$$\n",
    "\n",
    "with $\\lvert\\rho_j\\rangle\\!\\rangle = \\sum_{k=0}^{d^2-1}\\mathrm{tr}(C_k\\rho_j)\\lvert k\\rangle\\!\\rangle$ the vectorized density matrix in the basis $\\mathcal{C}$ and $\\mathcal{Q}$ the Liouville representation of the total propagator $Q$ of the control pulse.\n",
    "\n",
    "Within `filter_functions`, the cumulant function $\\mathcal{K}(\\tau)$ is calculated from first-order Magnus expansion terms alone.  These terms induce dissipation. Additional second-order terms, inducing coherent errors, can be neglected if we assume that the experimentalist has calibrated their pulses. For Gaussian noise, higher orders cancel out and the above expressions are exact. In the case of non-Gaussian noise, they become peturbative in the noise parameter $\\xi$, being of order $\\xi^2$.\n",
    "\n",
    "Again we use the optimized gates presented in [Cerfontaine et al. (2019)] and start by loading the data and setting up the control operators $A_i$.\n",
    "\n",
    "[Cerfontaine et al. (2019)]: https://arxiv.org/abs/1901.00851"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "from qutip.qip import operations\n",
    "from qutip.visualization import matrix_histogram\n",
    "from scipy import io\n",
    "\n",
    "import filter_functions as ff\n",
    "from filter_functions import numeric, util"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# use widget for interactive mode\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_path = Path(ff.__file__).parent.parent / 'examples/data'\n",
    "if not data_path.exists():\n",
    "    # RTD build\n",
    "    data_path = Path('../../../examples/data')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "gates = ['X2ID', 'Y2ID', 'CNOT']\n",
    "struct = {'X2ID': io.loadmat(str(data_path / 'X2ID.mat')),\n",
    "          'Y2ID': io.loadmat(str(data_path / 'Y2ID.mat')),\n",
    "          'CNOT': io.loadmat(str(data_path / 'CNOT.mat'))}\n",
    "eps = {key: np.asarray(struct[key]['eps'], order='C') for key in gates}\n",
    "dt = {key: np.asarray(struct[key]['t'].ravel(), order='C') for key in gates}\n",
    "B = {key: np.asarray(struct[key]['B'].ravel(), order='C') for key in gates}\n",
    "B_avg = {key: struct[key]['BAvg'].ravel() for key in gates}\n",
    "infid_fast = {key: struct[key]['infid_fast'].ravel() for key in gates}\n",
    "# B_avg same for all\n",
    "B_avg = B_avg['X2ID']\n",
    "T = {key: val.sum() for key, val in dt.items()}\n",
    "\n",
    "J = {key: np.exp(eps[key]) for key in gates}\n",
    "n_dt = {key: len(dt[key]) for key in gates}\n",
    "\n",
    "d = 16\n",
    "H = np.empty((6, d, d), dtype=complex)\n",
    "\n",
    "Id, Px, Py, Pz = util.paulis\n",
    "# Exchange Hamiltonians\n",
    "H[0] = 1/4*sum(util.tensor(P, P, Id, Id) for P in (Px, Py, Pz))\n",
    "H[1] = 1/4*sum(util.tensor(Id, P, P, Id) for P in (Px, Py, Pz))\n",
    "H[2] = 1/4*sum(util.tensor(Id, Id, P, P) for P in (Px, Py, Pz))\n",
    "# Zeeman Hamiltonians\n",
    "H[3] = 1/8*(util.tensor(Pz, Id, Id, Id)*(-3) +\n",
    "            util.tensor(Id, Pz, Id, Id) +\n",
    "            util.tensor(Id, Id, Pz, Id) +\n",
    "            util.tensor(Id, Id, Id, Pz))\n",
    "H[4] = 1/4*(util.tensor(Pz, Id, Id, Id)*(-1) +\n",
    "            util.tensor(Id, Pz, Id, Id)*(-1) +\n",
    "            util.tensor(Id, Id, Pz, Id) +\n",
    "            util.tensor(Id, Id, Id, Pz))\n",
    "H[5] = 1/8*(util.tensor(Pz, Id, Id, Id)*(-1) +\n",
    "            util.tensor(Id, Pz, Id, Id)*(-1) +\n",
    "            util.tensor(Id, Id, Pz, Id)*(-1) +\n",
    "            util.tensor(Id, Id, Id, Pz)*3)\n",
    "\n",
    "# Technically there would also be H_0 (the mean magnetic field), but on the\n",
    "# m_s = 0 subspace it is zero."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining a custom basis\n",
    "Because we are interested in the fidelity of the two-qubit gates that live on the $4\\times 4$ subspace of the complete $16$-dimensional Hilbert space, we single out the $6\\times 6$ subspace with magnetic spin quantum number $m_s = 0$ in which the qubits are encoded. We have to include the leakage levels $\\bigl\\lbrace\\lvert\\downarrow\\downarrow\\uparrow\\uparrow\\rangle, \\lvert\\uparrow\\uparrow\\downarrow\\downarrow\\rangle\\bigr\\rbrace$ as they are accessible via the intermediate exchange interaction $J(\\epsilon_{23})$ during the gate sequence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "opers = list(H)\n",
    "\n",
    "# Reduce to 6x6 subspace\n",
    "zerospin_subspace_inds = ((3, 5, 6, 9, 10, 12), (3, 5, 6, 9, 10, 12))\n",
    "d_zerospin_subspace = 6\n",
    "opers = [H[np.ix_(*zerospin_subspace_inds)] for H in H]\n",
    "\n",
    "# Subtract identity to make Hamiltonian traceless (always allowed since we are\n",
    "# not interested in absolute energies)\n",
    "opers = [oper - np.trace(oper)/d_zerospin_subspace*np.eye(d_zerospin_subspace)\n",
    "         for oper in opers]\n",
    "\n",
    "# The coefficients are the exchange couplings and B-field gradients\n",
    "c_coeffs = {key: [J[key][0],\n",
    "                  J[key][1],\n",
    "                  J[key][2],\n",
    "                  B[key][0]*np.ones(n_dt[key]),\n",
    "                  B[key][1]*np.ones(n_dt[key]),\n",
    "                  B[key][2]*np.ones(n_dt[key])] for key in gates}\n",
    "# We include the exponential dependence of J on epsilon by a first-order\n",
    "# derivative (just J back) as noise sensitivity.\n",
    "n_coeffs = {key: [J[key][0],\n",
    "                  J[key][1],\n",
    "                  J[key][2],\n",
    "                  np.ones(n_dt[key]),\n",
    "                  np.ones(n_dt[key]),\n",
    "                  np.ones(n_dt[key])] for key in gates}\n",
    "\n",
    "identifiers = ['J_12', 'J_23', 'J_34', 'B_12', 'B_23', 'B_34']\n",
    "\n",
    "H_c = {key: list(zip(opers, val, identifiers))\n",
    "       for key, val in c_coeffs.items()}\n",
    "H_n = {key: list(zip(opers, val, identifiers))\n",
    "       for key, val in n_coeffs.items()}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to be able to distinguish the qubit subspace from the leakage subspace, we define a basis that exclusively has elements that only live on either by padding a two-qubit Pauli basis with zeros on the leakage subspace and letting the ``Basis`` constructor fill up the basis so that it is orthonormal and complete on the entire space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Basis orthonormal: True\n",
      "Basis complete: True\n",
      "Padded IX:\n",
      " [[0.  0.  0.  0.  0.  0. ]\n",
      " [0.  0.  0.5 0.  0.  0. ]\n",
      " [0.  0.5 0.  0.  0.  0. ]\n",
      " [0.  0.  0.  0.  0.5 0. ]\n",
      " [0.  0.  0.  0.5 0.  0. ]\n",
      " [0.  0.  0.  0.  0.  0. ]]\n"
     ]
    }
   ],
   "source": [
    "# Leakage levels are at indices 0 and 5 of the 6x6 Hamiltonian\n",
    "qubit_subspace_inds = ((1, 2, 3, 4), (1, 2, 3, 4))\n",
    "\n",
    "subspace_basis = ff.Basis.pauli(2)\n",
    "basis = ff.Basis.from_partial([np.pad(b, 1, 'constant')\n",
    "                               for b in subspace_basis],\n",
    "                              labels=subspace_basis.labels)\n",
    "\n",
    "print('Basis orthonormal:', basis.isorthonorm)\n",
    "print('Basis complete:', basis.iscomplete)\n",
    "# Print one element as an example\n",
    "print(f'Padded {basis.labels[1]}:\\n', basis[1].real)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can initialize the `PulseSequence` instances and diagonalize them to verify they give rise to the correct gates:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize the PulseSequences\n",
    "pulses = {\n",
    "    gate: ff.PulseSequence(H_c[gate], H_n[gate], dt[gate], basis=basis)\n",
    "    for gate in gates\n",
    "}\n",
    "\n",
    "# Target gates\n",
    "U_t = {\n",
    "    'X2ID': util.tensor((Id - 1j*Px)/np.sqrt(2), Id),    # sqrt X\n",
    "    'Y2ID': util.tensor((Id - 1j*Py)/np.sqrt(2), Id),    # sqrt Y\n",
    "    'CNOT': operations.cnot()\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct action of the gates:\n",
      "----------------------------\n",
      "X2ID\tTrue\n",
      "Y2ID\tTrue\n",
      "CNOT\tTrue\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Correct action of the gates:')\n",
    "print('----------------------------')\n",
    "for key, pulse in pulses.items():\n",
    "    pulse.diagonalize()\n",
    "    # Reduce to qubit subspace\n",
    "    U = pulse.total_propagator[np.ix_(*qubit_subspace_inds)]\n",
    "    # Plot the propagator\n",
    "    matrix_histogram(U, bar_style='abs', color_style='phase')\n",
    "    # Check for equality with the target unitary up to global phase\n",
    "    print(key, util.oper_equiv(U_t[key], U, eps=1e-9)[0], sep='\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Noise power spectral density\n",
    "Now that we have verified that our pulses do what they are supposed to, we can turn to calculating the error transfer matrix given a noise spectrum. As a quick reminder, the noise power spectral density $S_\\alpha(\\omega)$ is defined as the Fourier transform of the autocorrelation function of the noise variable $b_\\alpha(t)$. For *wide-sense stationary* noise the autocorrelation only depends on the time difference and we have\n",
    "\n",
    "$$\n",
    "    \\langle b_\\alpha(t_1)b_\\alpha(t_2)\\rangle = \\int_{-\\infty}^\\infty\\frac{\\mathrm{d}\\omega}{2\\pi}S_\\alpha(\\omega)e^{-i\\omega(t_1 - t_2)}\n",
    "$$\n",
    "\n",
    "where $S_\\alpha(\\omega)$ is the two-sided power spectral density for noise source $\\alpha$. Since the spectrum is classical, it is symmetric about $\\omega=0$ (corresponding to equal rates of excitation from and emission to the environment). We can therefore consider only positive frequencies. \n",
    "\n",
    "Here we use $1/f$-like noise with a one-sided spectrum of\n",
    "\n",
    "$$\n",
    "    S_\\epsilon(f) = A f^{-0.7}, \\quad S_\\epsilon(f=1\\,\\text{MHz}) = 4\\times 10^{-20}\\,\\text{V}^2/\\text{Hz}\n",
    "$$\n",
    "\n",
    "as reported by [Dial et al. (2013)].\n",
    "\n",
    "[Dial et al. (2013)]: https://doi.org/10.1103/PhysRevLett.110.146804"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Voltages are in units of eps0 and energies in units of inverse nanoseconds\n",
    "# (see Cerfontaine et al. (2019))\n",
    "eps0 = 2.7241e-4\n",
    "alpha = 0.7\n",
    "# S(f) = A f^{-\\alpha}\n",
    "# At f = 1 MHz = 1e-3 GHz, S = S_0 = 4e-20 V^2/Hz = 4e-11/eps0^2 1/GHz\n",
    "# Correspondingly, S(\\omega) = A \\omega^{-\\alpha} such that at\n",
    "# \\omega = 2\\pi 10^{-3} GHz, S_0 = 4e-11/eps0^2 1/GHz\n",
    "S_0 = 4e-11/eps0**2\n",
    "A = S_0*(2*np.pi*1e-3)**alpha"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Error transfer matrices\n",
    "We are now ready to calculate the error transfer matrix $\\langle\\tilde{\\mathcal{U}}(\\tau)\\rangle$. Since it is completely characterized by the cumulant function $\\mathcal{K}_\\epsilon(\\tau)$, we will deal with the latter. This has the advantage that we can inspect contributions from different noise sources separately. Because the error transfer matrix is given by the exponential of $\\mathcal{K}(\\tau)$, contributions from different noise operators will mix due to non-commutativity and a separate discussion of the contributions will neglect terms of order $\\xi^4$.\n",
    "\n",
    "The cumulant function for Gaussian noise sources $(\\alpha,\\beta)$ is given by\n",
    "\n",
    "$$\n",
    "\\mathcal{K}_{\\alpha\\beta}(\\tau) = -\\frac{1}{2}\\sum_{kl}(f_{ijkl}\\Delta_{\\alpha\\beta,kl} + g_{ijkl}\\Gamma_{\\alpha\\beta,kl})\n",
    "$$\n",
    "\n",
    "where $f,g$ are trivial functions of the trace tensor $T$ and $\\Gamma$ $(\\Delta)$ are the decay amplitudes (frequency shifts) capturing decoherence (unitary errors). The decay amplitudes (frequency shifts) are computed from the first (second) order of the Magnus expansion and most of our discussion deals with the former. This is because unitary errors can usually be calibrated out to a large degree and furthermore do not contribute to experimentally accessible quantities like the gate fidelity to leading order.\n",
    "\n",
    "The decay amplitudes $\\Gamma$ can be calculated from the generalized filter function and are thus amenable to the concatenation property of the control matrices. As the second order of the Magnus expansion involves a double time integral, such a simplification is not possible in the case of the frequency shifts $\\Delta$. However, we can define a filter function for them just the same:\n",
    "\n",
    "\\begin{align}\n",
    "\\Gamma_{\\alpha\\beta,kl} &= \\int\\frac{\\mathrm{d}\\omega}{2\\pi}S_{\\alpha\\beta}(\\omega) F_{\\alpha\\beta,kl}^{(\\Gamma)}(\\omega) \\\\\n",
    "\\Delta_{\\alpha\\beta,kl} &= \\int\\frac{\\mathrm{d}\\omega}{2\\pi}S_{\\alpha\\beta}(\\omega) F_{\\alpha\\beta,kl}^{(\\Delta)}(\\omega)\n",
    "\\end{align}\n",
    "\n",
    "### Performance considerations\n",
    "For the computation of the error transfer matrix it is beneficial for the basis used to be sparse since the elements of the matrix are sums of terms proportional to traces of four basis elements of the form $\\mathrm{tr}(C_i C_j C_k C_l)$. These traces are inherently mostly zero since the basis elements form an orthonormal set. If the elements themselves are sparse, the entire calculation can be performed quite efficiently. The Generalized Gell-Mann bases are sparse bases as most of their elements only have two non-zero entries. The Pauli bases have filling factor $1/2$ on the other hand and thus take longer to compute.\n",
    "\n",
    "Since the traces are cached, this only applies for the first time the error transfer matrix is computed.\n",
    "\n",
    "### Calculation using `filter_functions`\n",
    "The calculation is implemented in the `numeric.calculate_cumulant_function()` function, which takes a `PulseSequence` instance, a noise spectrum and a list of frequencies as arguments. Optionally, we may also pass a list of identifiers corresponding to the noise operators whose contributions we are interested in. In our case we use the exchange terms affected by charge noise. The function will return an array with the separate noise operator contributions on the first axis. Visualization of the cumulant function is implemented by ``plotting.plot_cumulant_function()``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
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      "text/plain": [
       "Calculating control matrix:   0%|          | 0/100 [00:00<?, ?it/s]"
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      "text/plain": [
       "Calculating second order FF:   0%|          | 0/100 [00:00<?, ?it/s]"
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      "text/plain": [
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      "text/plain": [
       "Calculating second order FF:   0%|          | 0/100 [00:00<?, ?it/s]"
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      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3f89c84229964f44b2f1d518a06e11c9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Calculating second order FF:   0%|          | 0/250 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x1500 with 14 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from itertools import product\n",
    "import matplotlib.pyplot as plt\n",
    "from filter_functions import plotting\n",
    "\n",
    "fig = plt.figure(figsize=(11, 15))\n",
    "\n",
    "cumulant_functions = {}\n",
    "for i, (key, pulse) in enumerate(pulses.items(), 1):\n",
    "    omega = np.geomspace(1/T[key], 1e2, 400)\n",
    "    spectrum = A/omega**alpha\n",
    "\n",
    "    if key == 'CNOT':\n",
    "        identifiers = ['J_12', 'J_23', 'J_34']\n",
    "    else:\n",
    "        # For single qubit pulses intermediate exchange is turned off\n",
    "        identifiers = ['J_12', 'J_34']\n",
    "        \n",
    "    cumulant_functions[key] = numeric.calculate_cumulant_function(\n",
    "        pulse, spectrum, omega, n_oper_identifiers=identifiers,\n",
    "        show_progressbar=True, second_order=True\n",
    "    )\n",
    "\n",
    "    # We can call plot_cumulant_function with the same arguments as\n",
    "    # error_transfer_matrix in which case the transfer matrix is calculated on\n",
    "    # the fly, or pass a pre-computed transfer matrix to the function\n",
    "    fig, grid = plotting.plot_cumulant_function(\n",
    "        pulse, cumulant_function=cumulant_functions[key],\n",
    "        n_oper_identifiers=identifiers, grid_kw=dict(rect=10*31+i),\n",
    "        figsize=(11, 4), fig=fig, cbar_label=key, colorscale='log'\n",
    "    )\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, for the single-qubit gates the computational and leakage subspaces are sufficiently decoupled and the structure of the error transfer matrix reveals a nice symmetry of noise processes on the two qubits. For the CNOT, this symmetry is not as pronounced and the error transfer matrix for the intermediate exchange $J_{23}$ mixes the computational and leakage subspaces to a small degree."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deriving quantities\n",
    "With the cumulant function calculated, we can now derive different quantities from the error transfer matrix $\\langle\\tilde{\\mathcal{U}}\\rangle = \\exp\\mathcal{K}$. Here we take a look at the state fidelity of the computational basis states for the CNOT gate and the entanglement fidelities of the gates.\n",
    "\n",
    "### State fidelity\n",
    "The state fidelity is given by (see above)\n",
    "\n",
    "$$\n",
    "p_{j\\rightarrow j} = \\langle\\!\\langle\\rho_j\\rvert\\mathcal{Q}\\langle\\mathcal{\\tilde{U}}\\rangle\\lvert\\rho_j\\rangle\\!\\rangle.\n",
    "$$\n",
    "\n",
    "We can calculate the vectorized density matrices $\\lvert\\rho_j\\rangle\\!\\rangle$ using `ff.basis.expand()` and the Liouville representation of the total propagator of the pulse using `ff.liouville_representation()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "p(00->00) = 9.9992e-01\n",
      "p(01->01) = 9.9992e-01\n",
      "p(10->10) = 2.3184e-05\n",
      "p(11->11) = 2.3184e-05\n"
     ]
    }
   ],
   "source": [
    "# ff.error_transfer_matrix can also be called with a PulseSequence, spectrum\n",
    "# and list of frequencies to compute the error transfer matrix directly instead\n",
    "# of from a cumulant function\n",
    "transfer_matrices = {gate: ff.error_transfer_matrix(cumulant_function=K)\n",
    "                     for gate, K in cumulant_functions.items()}\n",
    "\n",
    "pulse = pulses['CNOT']\n",
    "basis = pulse.basis\n",
    "# Also exists as pulse.total_propagator_liouville\n",
    "total_propagator_liouville = ff.liouville_representation(pulse.total_propagator, basis)\n",
    "# Sum up the individual noise operator contributions for simplicity\n",
    "U_tilde = transfer_matrices['CNOT']\n",
    "ket_00, ket_01, ket_10, ket_11 = np.zeros((4, 6, 1))\n",
    "ket_00[1] = 1\n",
    "ket_01[2] = 1\n",
    "ket_10[3] = 1\n",
    "ket_11[4] = 1\n",
    "rhoket_00 = ff.basis.expand(np.outer(ket_00, ket_00), basis, hermitian=True)\n",
    "rhoket_01 = ff.basis.expand(np.outer(ket_01, ket_01), basis, hermitian=True)\n",
    "rhoket_10 = ff.basis.expand(np.outer(ket_10, ket_10), basis, hermitian=True)\n",
    "rhoket_11 = ff.basis.expand(np.outer(ket_11, ket_11), basis, hermitian=True)\n",
    "rhokets = (rhoket_00, rhoket_01, rhoket_10, rhoket_11)\n",
    "labels = ('00', '01', '10', '11')\n",
    "\n",
    "for label, rhoket in zip(labels, rhokets):\n",
    "    F = rhoket.T @ total_propagator_liouville @ U_tilde @ rhoket\n",
    "    print('p({l}->{l}) = {v:.4e}'.format(l=label, v=F.real))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The probabilities are not exactly one and zero but differ from the target outcome by $\\sim 10^{-5}$ due to the influence of the noise."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Entanglement fidelity <a id='fidelity'></a>\n",
    "The entanglement fidelity is given by (see above)\n",
    "\n",
    "$$\n",
    "\\mathcal{I}_\\mathrm{e} = 1 - \\frac{1}{d^2}\\mathrm{tr}\\,\\langle\\mathcal{\\tilde{U}}\\rangle.\n",
    "$$\n",
    "\n",
    "We are only interested in the dynamics on the qubit subspace and thus do not care about contributions from basis elements on the leakage subspace, so that we only trace over the first 16 elements of the error transfer matrix. We will compare the results to the Monte Carlo results for fast noise from the reference.\n",
    "\n",
    "Because the fidelity is an often-employed figure of merit, its calculation is also implemented in a separate function, `ff.infidelity()`, that is much faster than deriving the fidelity from the error transfer matrix because it only calculates the leading order approximation. Its interface is very similiar to that of `ff.error_transfer_matrix()` and is thus not discussed here. Only note that some subtleties apply if calculating the fidelity in the presence of leakage levels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gate\tTransfer Matrix\tMonte Carlo\tRelative deviation\n",
      "----------------------------------------------------------\n",
      "X2ID\t7.08e-05\t7.17e-05\t-1.3e-02\n",
      "Y2ID\t6.95e-05\t7.03e-05\t-1.2e-02\n",
      "CNOT\t7.84e-05\t7.89e-05\t-6.9e-03\n"
     ]
    }
   ],
   "source": [
    "print('Gate', 'Transfer Matrix', 'Monte Carlo', 'Relative deviation', sep='\\t')\n",
    "print('----------------------------------------------------------')\n",
    "for key, pulse in pulses.items():\n",
    "    infidelity = 1 - abs(transfer_matrices[key][:16, :16].trace())/4**2\n",
    "    rel_div = (infidelity.sum() - infid_fast[key][1])/infid_fast[key][1]\n",
    "    print(key,\n",
    "          '{:.2e}'.format(infidelity.sum()),\n",
    "          '{:.2e}'.format(infid_fast[key][1]),\n",
    "          '{:.1e}'.format(rel_div),\n",
    "          sep='\\t')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Complete positivity\n",
    "For a map $\\mathcal{U}:\\rho\\rightarrow\\mathcal{U}(\\rho)\\equiv\\rho'$ to be physical, i.e. map density operators to density operators, it needs to be completely positive (CP). Mathematically, this is given iff\n",
    "\n",
    "$$\n",
    "    \\text{choi}(\\mathcal{U}) \\geq 0\n",
    "$$\n",
    "\n",
    "with $\\text{choi}(\\mathcal{U}) = (\\mathcal{U}\\otimes\\mathbb{I})(|\\Omega\\rangle\\langle\\Omega|)$ the Choi matrix representation of the map $\\mathcal{U}$ and $|\\Omega\\rangle$ any maximally entangled state. This is known as the Choi-Jamiołkowski isomorphism of quantum channels and states. As can be shown, the error transfer matrix $\\langle\\mathcal{\\tilde{U}}\\rangle = \\exp\\mathcal{K}$ is CP, and thus constitutes a valid quantum operation, when taking the decay amplitudes $\\Gamma$ and/or frequency shifts $\\Delta$ into account for the cumulant function. However, when approximating $\\langle\\mathcal{\\tilde{U}}\\rangle\\approx\\mathbb{1} + \\mathcal{K}$, this need in general not be true anymore. Since simplified expressions for derived quantites, as discussed above, can be obtained in the approximation, complete positivity (or the degree of violation thereof) of the approximated map can hence - in addition to convergence and smallness criteria for the perturbative expansion - serve as a figure of merit of the approximation.\n",
    "\n",
    "Functions related to this topic are collected in the `superoperator` module. For instance, we can check if $\\langle\\mathcal{\\tilde{U}}\\rangle$ is CP using `superoperator.liouville_is_CP` as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "----\n",
      "X2ID\n",
      "----\n",
      "Error transfer matrix CP: True\n",
      "Smallest Choi eigenvalue: -7.45e-16\n",
      "Approximate error transfer matrix CP: True\n",
      "Smallest Choi eigenvalue: -1.04e-15\n",
      "----\n",
      "Y2ID\n",
      "----\n",
      "Error transfer matrix CP: True\n",
      "Smallest Choi eigenvalue: -6.23e-16\n",
      "Approximate error transfer matrix CP: True\n",
      "Smallest Choi eigenvalue: -1.40e-15\n",
      "----\n",
      "CNOT\n",
      "----\n",
      "Error transfer matrix CP: True\n",
      "Smallest Choi eigenvalue: 2.09e-13\n",
      "Approximate error transfer matrix CP: True\n",
      "Smallest Choi eigenvalue: 4.97e-15\n"
     ]
    }
   ],
   "source": [
    "from filter_functions import superoperator\n",
    "\n",
    "for key, pulse in pulses.items():\n",
    "    print('----', key, '----', sep='\\n')\n",
    "    # CP is boolean, D and V are eigenvalues and -vectors of the Choi matrix\n",
    "    CP, (D, V) = superoperator.liouville_is_CP(transfer_matrices[key],\n",
    "                                               pulse.basis, return_eig=True)\n",
    "    print(f'Error transfer matrix CP: {CP}')  # all(D >= 0) up to floating point error\n",
    "    print(f'Smallest Choi eigenvalue: {np.min(D):.2e}')\n",
    "    \n",
    "    # Check CPness of approximation:\n",
    "    approximation = np.eye(pulse.d**2) + cumulant_functions[key].sum(0)\n",
    "    CP, (D, V) = superoperator.liouville_is_CP(approximation, pulse.basis,\n",
    "                                               return_eig=True)\n",
    "    print(f'Approximate error transfer matrix CP: {CP}')\n",
    "    print(f'Smallest Choi eigenvalue: {np.min(D):.2e}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Convergence of the frequency integral\n",
    "Since we are integrating numerically, we should also perform a convergence test in order to see if the frequency resolution is large enough. This is also implemented in `ff.infidelity()`. In this case, the function arguments `S` and `omega` take on a different meaning; `spectrum` should be a `Callable` function handle for computing the spectrum from a list of frequencies, and `omega` should be a dictionary with entries defining the boundary conditions for the convergence test, e.g. the minimum and maximum number of frequency points $n_\\omega$ for the convergence test. For brevity, we only show the convergence for the CNOT."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(11, 6)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0.98, 'CNOT convergence')"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def spectrum(omega): return A/omega**alpha\n",
    "\n",
    "# Define the boundary conditions (all of these values also have sensible\n",
    "# defaults)\n",
    "omega = {\n",
    "    'omega_IR': 1e-2/T['CNOT'],\n",
    "    'omega_IV': 100,\n",
    "    'spacing': 'log',\n",
    "    'n_min': 100,\n",
    "    'n_max': 500,\n",
    "    'n_points': 10\n",
    "}\n",
    "\n",
    "n_omega, infids = ff.infidelity(pulses['CNOT'], spectrum, omega,\n",
    "                                test_convergence=True)\n",
    "print(infids.shape)\n",
    "fig, ax = plotting.plot_infidelity_convergence(n_omega, infids.sum(axis=1))\n",
    "fig.suptitle('CNOT convergence')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, the integral converges for around $n_\\omega = 300$ already. Note that the value of the infidelity here is not consistent with the one computed in [the section above](#fidelity) since `ff.infidelity()` computes the infidelity of the pulse on the complete Hilbert space, not only the computational subspace. Concretely, `ff.infidelity()` computes `transfer_matrices['CNOT'].trace()/6**2`."
   ]
  }
 ],
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