{
 "cells": [
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   "cell_type": "markdown",
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   "source": [
    "# Design robust, configurable, parallel gates for large trapped-ion arrays\n",
    "**Obtaining control solutions for parallel and specifiable multi-qubit gates using Boulder Opal pulses**\n",
    "\n",
    "Boulder Opal provides a broad toolkit enabling the generation of [high-fidelity entangling gates with trapped ions](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/trapped-ion-quantum-computing/how-to-optimize-error-robust-molmer-sorensen-gates-for-trapped-ions).\n",
    "In particular, it is possible to engineer parallel optimized gates with arbitrary user-defined phases on large ion arrays.\n",
    "This comes from adding independent addressing and individual tuning of control parameters in order to simultaneously manipulate the phase space trajectory of multiple motional modes.\n",
    "\n",
    "In this notebook, we demonstrate control solutions for trapped ions robust to frequency-detuning and pulse-timing errors.\n",
    "We will cover:\n",
    "\n",
    "- Creating optimized, robust, parallel Mølmer–Sørensen gates over multiple ions\n",
    "- Calculating phase space trajectories for multiple modes\n",
    "- Simulating entangling phase accumulation in the gate between arbitrary ion pairs\n",
    "- Validating performance by calculating quasi-static noise susceptibility\n",
    "\n",
    "Ultimately we will demonstrate how to parallelize gates in order to speed-up quantum circuit execution in trapped-ion quantum computers, while adding robustness against common hardware error sources.\n",
    "\n",
    "For further discussion see [Numeric optimization for configurable, parallel, error-robust entangling gates in large ion registers](https://arxiv.org/abs/2005.00366), published as [Advanced Quantum Technology 3, 11 (2020)](https://doi.org/10.1002/qute.202000044)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Creating Boulder Opal pulses for parallel 2-of-5 and 3-of-5 qubit gates\n",
    "\n",
    "Using Boulder Opal, you can obtain control solutions for configurable multi-qubit gates.\n",
    "These gates can also be performed simultaneously (in parallel).\n",
    "In this example, you'll learn to perform simultaneous two-qubit and three-qubit entangling operations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import qctrlvisualizer as qv\n",
    "\n",
    "import boulderopal as bo\n",
    "\n",
    "plt.style.use(qv.get_qctrl_style())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by specifying the ion, trap, and laser characteristics, and obtaining the Lamb–Dicke parameters and relative detunings.\n",
    "These will be used in the phase and displacement calculations for ions.\n",
    "For more information, see the [How to optimize error-robust Mølmer–Sørensen gates for trapped ions](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/trapped-ion-quantum-computing/how-to-optimize-error-robust-molmer-sorensen-gates-for-trapped-ions) user guide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:28:09.885784Z",
     "start_time": "2021-07-08T04:27:59.565613Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827932\") is queued.\n",
      "Your task (action_id=\"1827932\") has started.\n",
      "Your task (action_id=\"1827932\") has completed.\n"
     ]
    }
   ],
   "source": [
    "# Define trap and laser characteristics.\n",
    "ion_count = 5\n",
    "center_of_mass_frequencies = [1.6e6, 1.5e6, 0.3e6]\n",
    "wavevector = [(2 * np.pi) / 355e-9, (2 * np.pi) / 355e-9, 0]\n",
    "maximum_rabi_rate = 2 * np.pi * 100e3\n",
    "laser_detuning = 1.6e6 + 4.7e3\n",
    "\n",
    "# Collect Lamb–Dicke parameters as an array of shape [<axis>, <collective_mode>, <ion>]\n",
    "# and relative detunings as an array of shape [<axis>, <collective_mode>].\n",
    "\n",
    "ion_chain_properties = bo.ions.obtain_ion_chain_properties(\n",
    "    atomic_mass=171,  # Yb ions\n",
    "    ion_count=ion_count,\n",
    "    center_of_mass_frequencies=center_of_mass_frequencies,\n",
    "    wavevector=wavevector,\n",
    "    laser_detuning=laser_detuning,\n",
    ")\n",
    "lamb_dicke_parameters = ion_chain_properties[\"lamb_dicke_parameters\"]\n",
    "relative_detunings = ion_chain_properties[\"relative_detunings\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To demonstrate simultaneous two- and three-qubit gates, configure the target operation by specifying target relative phases between each ion pair.\n",
    "Element ($j$, $k$) of the target phase array is the relative phase between ions $j$ and $k$, with $k<j$.\n",
    "In the cell below, the target relative phase for the ion pair (1, 0) is set to $\\pi/4$ for maximal two-qubit entanglement.\n",
    "For the three-qubit gate, the same relative phase $\\psi = \\pi / 4$ is specified for ion pairs (3, 2), (4, 2) and (4, 3)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Operation duration.\n",
    "duration = 3e-4  # s\n",
    "\n",
    "# Target phases: element (j,k) is the relative entanglement for ions j and k (k<j).\n",
    "psi = np.pi / 4\n",
    "target = np.array(\n",
    "    [\n",
    "        [0.0, 0.0, 0.0, 0.0, 0.0],\n",
    "        [psi, 0.0, 0.0, 0.0, 0.0],\n",
    "        [0.0, 0.0, 0.0, 0.0, 0.0],\n",
    "        [0.0, 0.0, psi, 0.0, 0.0],\n",
    "        [0.0, 0.0, psi, psi, 0.0],\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimize drives (optimal control solution)\n",
    "\n",
    "To control the system, consider separately-tunable complex drives $\\gamma_j (t) = \\Omega_j e^{i \\phi_j}$ that address each ion $j$ in the trap.\n",
    "The drives are piecewise-constant with amplitude and phase modulation.\n",
    "In the optimization, the gate infidelity quantifies the solution performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def reflect_signal(graph, moduli, phases, even_total_segment_count):\n",
    "    \"\"\"\n",
    "    Reflect a drive signal about its temporal midpoint\n",
    "    and return the combined signal.\n",
    "    (Milne et al., Phys. Rev. Applied, 2020)\n",
    "    \"\"\"\n",
    "\n",
    "    if even_total_segment_count:\n",
    "        moduli_refl = graph.reverse(moduli, [0])\n",
    "        phases_refl = graph.reverse(phases, [0])\n",
    "\n",
    "    else:\n",
    "        moduli_refl = graph.reverse(moduli[:-1], [0])\n",
    "        phases_refl = graph.reverse(phases[:-1], [0])\n",
    "\n",
    "    moduli_comb = graph.concatenate([moduli, moduli_refl], 0)\n",
    "    phases_comb = graph.concatenate([phases, 2 * phases[-1] - phases_refl], 0)\n",
    "\n",
    "    return moduli_comb, phases_comb\n",
    "\n",
    "\n",
    "# Helper function for optimization with different drives for each ion.\n",
    "def optimization_with_different_drives(\n",
    "    segment_count,\n",
    "    duration,\n",
    "    maximum_rabi_rate,\n",
    "    lamb_dicke_parameters,\n",
    "    relative_detunings,\n",
    "    sample_times,\n",
    "    robust,\n",
    "    drive_names,\n",
    "):\n",
    "    graph = bo.Graph()\n",
    "\n",
    "    # Specification of free variables and combination with reflected signal.\n",
    "    free_segment_count = segment_count\n",
    "    if robust:\n",
    "        free_segment_count = (segment_count + 1) // 2\n",
    "\n",
    "    drives = []\n",
    "    for drive_name in drive_names:\n",
    "        # The drive moduli and phases are free variables here.\n",
    "        # They could also be restricted or fixed.\n",
    "        moduli = graph.optimization_variable(\n",
    "            count=free_segment_count, lower_bound=0, upper_bound=maximum_rabi_rate\n",
    "        )\n",
    "        phases = graph.optimization_variable(\n",
    "            count=free_segment_count,\n",
    "            lower_bound=0,\n",
    "            upper_bound=2 * np.pi,\n",
    "            is_lower_unbounded=True,\n",
    "            is_upper_unbounded=True,\n",
    "        )\n",
    "\n",
    "        if robust:\n",
    "            moduli, phases = reflect_signal(\n",
    "                graph, moduli, phases, segment_count % 2 == 0\n",
    "            )\n",
    "\n",
    "        drives.append(\n",
    "            graph.complex_pwc_signal(\n",
    "                moduli=moduli, phases=phases, duration=duration, name=drive_name\n",
    "            )\n",
    "        )\n",
    "\n",
    "    ms_phases = graph.ions.ms_phases(\n",
    "        drives=drives,\n",
    "        lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "        relative_detunings=relative_detunings,\n",
    "        sample_times=sample_times,\n",
    "        name=\"phases\",\n",
    "    )\n",
    "\n",
    "    ms_displacements = graph.ions.ms_displacements(\n",
    "        drives=drives,\n",
    "        lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "        relative_detunings=relative_detunings,\n",
    "        sample_times=sample_times,\n",
    "        name=\"displacements\",\n",
    "    )\n",
    "\n",
    "    infidelity = graph.ions.ms_infidelity(\n",
    "        phases=ms_phases[-1],\n",
    "        displacements=ms_displacements[-1],\n",
    "        target_phases=target,\n",
    "        name=\"infidelity\",\n",
    "    )\n",
    "\n",
    "    if not robust:\n",
    "        cost = infidelity + 0\n",
    "    else:\n",
    "        robust_cost_term = graph.ions.ms_dephasing_robust_cost(\n",
    "            drives=drives,\n",
    "            lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "            relative_detunings=relative_detunings,\n",
    "        )\n",
    "        cost = infidelity + robust_cost_term\n",
    "\n",
    "    cost.name = \"cost\"\n",
    "\n",
    "    return bo.run_optimization(\n",
    "        graph=graph,\n",
    "        cost_node_name=\"cost\",\n",
    "        output_node_names=[\"displacements\", \"infidelity\", \"phases\"] + drive_names,\n",
    "        optimization_count=4,\n",
    "    )\n",
    "\n",
    "\n",
    "# Helper function for plotting phase space trajectories.\n",
    "def plot_phase_space_trajectories(total_displacement):\n",
    "    fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
    "    plot_range = 1.1 * np.max(np.abs(total_displacement))\n",
    "    fig.suptitle(\"Phase space trajectories\")\n",
    "\n",
    "    for k in range(2):\n",
    "        for mode in range(ion_count):\n",
    "            axs[k].plot(\n",
    "                np.real(total_displacement[:, k, mode]),\n",
    "                np.imag(total_displacement[:, k, mode]),\n",
    "                label=f\"mode {mode % ion_count}\",\n",
    "            )\n",
    "            axs[k].plot(\n",
    "                np.real(total_displacement[-1, k, mode]),\n",
    "                np.imag(total_displacement[-1, k, mode]),\n",
    "                \"kx\",\n",
    "                markersize=15,\n",
    "            )\n",
    "\n",
    "        axs[k].set_xlim(-plot_range, plot_range)\n",
    "        axs[k].set_ylim(-plot_range, plot_range)\n",
    "        axs[k].set_aspect(\"equal\")\n",
    "        axs[k].set_xlabel(\"q\")\n",
    "\n",
    "    axs[0].set_title(\"$x$-axis\")\n",
    "    axs[0].set_ylabel(\"p\")\n",
    "    axs[1].set_title(\"$y$-axis\")\n",
    "    axs[1].yaxis.set_ticklabels([])\n",
    "\n",
    "    hs, ls = axs[0].get_legend_handles_labels()\n",
    "    fig.legend(handles=hs, labels=ls, loc=\"center left\", bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827945\") is queued.\n",
      "Your task (action_id=\"1827945\") has started.\n",
      "Your task (action_id=\"1827945\") has completed.\n",
      "Cost = Infidelity = 9.473e-09\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "segment_count = 128\n",
    "sample_times = np.linspace(0, duration, segment_count)\n",
    "drive_names = [f\"ion_drive_{number}\" for number in range(ion_count)]\n",
    "\n",
    "result_optimal = optimization_with_different_drives(\n",
    "    segment_count=segment_count,\n",
    "    duration=duration,\n",
    "    maximum_rabi_rate=maximum_rabi_rate,\n",
    "    lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "    relative_detunings=relative_detunings,\n",
    "    sample_times=sample_times,\n",
    "    robust=False,\n",
    "    drive_names=drive_names,\n",
    ")\n",
    "print(f\"Cost = Infidelity = {result_optimal['output']['infidelity']['value']:.3e}\")\n",
    "qv.plot_controls({\"$\\\\gamma$\": result_optimal[\"output\"][drive_names[0]]})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The figure displays the optimized pulse modulus and phase dynamics for ion 0."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimize drives (robust control solution)\n",
    "\n",
    "To obtain robust controls, we impose symmetry on each drive and optimize such that the centre of mass of each mode's trajectory is at zero.\n",
    "This is the same procedure as for the two-qubit case described [here](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/trapped-ion-quantum-computing/how-to-optimize-error-robust-molmer-sorensen-gates-for-trapped-ions).\n",
    "In this case, the solution performance is given by the sum of the gate infidelity and the robustness cost.\n",
    "The robust option is enabled by setting the flag `robust` to True."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827960\") is queued.\n",
      "Your task (action_id=\"1827960\") has started.\n",
      "Your task (action_id=\"1827960\") has completed.\n",
      "Cost = 7.460e-08\n",
      "Infidelity = 9.690e-09\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_robust = optimization_with_different_drives(\n",
    "    segment_count=segment_count,\n",
    "    duration=duration,\n",
    "    maximum_rabi_rate=maximum_rabi_rate,\n",
    "    lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "    relative_detunings=relative_detunings,\n",
    "    sample_times=sample_times,\n",
    "    robust=True,\n",
    "    drive_names=drive_names,\n",
    ")\n",
    "print(f\"Cost = {result_robust['cost']:.3e}\")\n",
    "print(f\"Infidelity = {result_robust['output']['infidelity']['value']:.3e}\")\n",
    "qv.plot_controls({\"$\\\\gamma$\": result_robust[\"output\"][drive_names[0]]})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above figure displays the dynamics of the modulus and angle of the robust optimized pulse for ion 0.\n",
    "The symmetry in time of the modulus values can be observed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Performance validation\n",
    "#### Calculate phase space trajectories\n",
    "\n",
    "Next, we visualize the trajectory of the center of a coherent state in (rotating) optical phase space for each mode.\n",
    "Note that there are $3N$ modes in general, where $N$ is the ion number.\n",
    "We address only the $2N$ transverse modes in the trap.\n",
    "The closure of these trajectories is a necessary condition for an effective operation.\n",
    "We first examine the (non-robust) standard optimized control, followed by the robust optimized control."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sum over ion index to obtain total displacement of the mode.\n",
    "plot_phase_space_trajectories(\n",
    "    np.sum(result_optimal[\"output\"][\"displacements\"][\"value\"], axis=3)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The black cross marks the final displacement for each mode.\n",
    "These are overlapping at zero, indicating no residual state-motional entanglement and no motional heating caused by the operations.\n",
    "\n",
    "Now we visualize the phase space trajectories for the robust optimized control."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sum over ion index to obtain total displacement of the mode.\n",
    "plot_phase_space_trajectories(\n",
    "    np.sum(result_robust[\"output\"][\"displacements\"][\"value\"], axis=3)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, the black crosses at the origin indicate no residual state-motional entanglement, which arises from satisfying the center of mass and symmetry conditions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate relative phase dynamics\n",
    "\n",
    "We can also obtain the phase accumulation for each pair of ions.\n",
    "The target phases for each pair of ions should be achieved at the end of a successful operation.\n",
    "First consider the standard optimized control."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times = sample_times * 1e3\n",
    "phases = result_optimal[\"output\"][\"phases\"][\"value\"]\n",
    "\n",
    "fig, axs = plt.subplots(2, 1, figsize=(10, 10))\n",
    "fig.suptitle(\"Relative phase dynamics\")\n",
    "\n",
    "target_phases = [psi, 0]\n",
    "target_phase_names = [\"\\\\pi/4\", \"0\"]\n",
    "\n",
    "for k in range(2):\n",
    "    target_phase = target_phases[k]\n",
    "    for ion1 in range(ion_count):\n",
    "        for ion2 in range(ion1):\n",
    "            if target[ion1][ion2] == target_phase:\n",
    "                axs[k].plot(times, phases[:, ion1, ion2], label=f\"{ion2, ion1}\")\n",
    "\n",
    "    axs[k].set_yticks([0, psi])\n",
    "    axs[k].set_yticklabels([0, \"$\\\\pi/4$\"])\n",
    "    axs[k].set_ylim((-0.1, 0.9))\n",
    "    axs[k].set_ylabel(\"Relative phase\")\n",
    "    axs[k].legend(title=\"Ion pair\")\n",
    "\n",
    "    axs[k].plot([0, times[-1]], [target_phase, target_phase], \"k--\")\n",
    "    axs[k].set_title(f\"Pairs with target phase $\\\\psi = {target_phase_names[k]}$\")\n",
    "\n",
    "axs[0].xaxis.set_ticklabels([])\n",
    "axs[1].set_xlabel(\"Time (ms)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These figures display the relative phase dynamics for the duration of the gate operation.\n",
    "For clarity, different plots display the ion pairs with different target relative phases.\n",
    "The two plots are for target relative phases of $\\pi/4$ and 0, marked with black horizontal dashed lines.\n",
    "\n",
    "Next consider the phase accumulation for the robust optimized control."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x648 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times = sample_times * 1e3\n",
    "phases = result_robust[\"output\"][\"phases\"][\"value\"]\n",
    "\n",
    "fig, axs = plt.subplots(2, 1, figsize=(10, 9))\n",
    "fig.suptitle(\"Relative phase dynamics\")\n",
    "\n",
    "target_phases = [psi, 0]\n",
    "target_phase_names = [\"\\\\pi/4\", \"0\"]\n",
    "\n",
    "for k in range(2):\n",
    "    target_phase = target_phases[k]\n",
    "    for ion1 in range(ion_count):\n",
    "        for ion2 in range(ion1):\n",
    "            if target[ion1][ion2] == target_phase:\n",
    "                axs[k].plot(times, phases[:, ion1, ion2], label=f\"{ion2, ion1}\")\n",
    "\n",
    "    axs[k].set_yticks([0, psi])\n",
    "    axs[k].set_yticklabels([0, \"$\\\\pi/4$\"])\n",
    "    axs[k].set_ylim((-0.1, 0.9))\n",
    "    axs[k].set_ylabel(\"Relative phase\")\n",
    "    axs[k].legend(title=\"Ion pair\")\n",
    "\n",
    "    axs[k].plot([0, times[-1]], [target_phase, target_phase], \"k--\")\n",
    "    axs[k].set_title(f\"Pairs with target phase $\\\\psi = {target_phase_names[k]}$\")\n",
    "\n",
    "axs[0].xaxis.set_ticklabels([])\n",
    "axs[1].set_xlabel(\"Time (ms)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As above, these figures display the relative phase dynamics for the duration of the gate operation.\n",
    "The two plots are for target relative phases of $\\pi/4$ and 0, and these values are marked with black horizontal dashed lines.\n",
    "\n",
    "The optimized drives produce nontrivial relative phase dynamics for each ion pair since the ions are individually addressed.\n",
    "The entangling phase is mediated by coupling the ion pairs to shared motional modes, and the optimized drives (both standard and robust) provide the necessary degrees of freedom to achieve the different target relative phases for each ion pair."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate robustness to dephasing and pulse timing errors with quasi-static scans\n",
    "\n",
    "We can assess the robustness of the 'Robust' optimized pulses in comparison to the 'Standard' optimized pulses using 1D quasi-static scans.\n",
    "\n",
    "First, we calculate a scan of scaling factors for the pulse timings.\n",
    "The scaling factors are applied uniformly: they scale the timing for the entire operation by the same factor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827973\") is queued.\n",
      "Your task (action_id=\"1827973\") has started.\n",
      "Your task (action_id=\"1827973\") has completed.\n"
     ]
    }
   ],
   "source": [
    "scan_point_count = 21\n",
    "\n",
    "optimal_infidelity_names = [\n",
    "    f\"infidelity_{number}\" for number in range(scan_point_count)\n",
    "]\n",
    "robust_infidelity_names = [\n",
    "    f\"robust_infidelity_{number}\" for number in range(scan_point_count)\n",
    "]\n",
    "\n",
    "max_timing_shift = 0.004\n",
    "time_shifts = np.linspace(1 - max_timing_shift, 1 + max_timing_shift, scan_point_count)\n",
    "\n",
    "graph = bo.Graph()\n",
    "\n",
    "for result, infidelity_names in zip(\n",
    "    [result_optimal, result_robust], [optimal_infidelity_names, robust_infidelity_names]\n",
    "):\n",
    "    for time_shift, infidelity_name in zip(time_shifts, infidelity_names):\n",
    "        drives = [\n",
    "            graph.pwc(\n",
    "                durations=time_shift * result[\"output\"][drive_name][\"durations\"],\n",
    "                values=result[\"output\"][drive_name][\"values\"],\n",
    "            )\n",
    "            for drive_name in drive_names\n",
    "        ]\n",
    "        ms_phases = graph.ions.ms_phases(\n",
    "            drives=drives,\n",
    "            lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "            relative_detunings=relative_detunings,\n",
    "        )\n",
    "\n",
    "        ms_displacements = graph.ions.ms_displacements(\n",
    "            drives=drives,\n",
    "            lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "            relative_detunings=relative_detunings,\n",
    "        )\n",
    "\n",
    "        ms_infidelity = graph.ions.ms_infidelity(\n",
    "            phases=ms_phases,\n",
    "            displacements=ms_displacements,\n",
    "            target_phases=target,\n",
    "            name=infidelity_name,\n",
    "        )\n",
    "\n",
    "timing_scan = bo.execute_graph(\n",
    "    graph, output_node_names=optimal_infidelity_names + robust_infidelity_names\n",
    ")\n",
    "\n",
    "optimal_infidelities_timing = [\n",
    "    timing_scan[\"output\"][name][\"value\"] for name in optimal_infidelity_names\n",
    "]\n",
    "robust_infidelities_timing = [\n",
    "    timing_scan[\"output\"][name][\"value\"] for name in robust_infidelity_names\n",
    "]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, calculate the robustness of the optimized pulses using a systematic scan of the relative detunings (which corresponds to shifting the laser detuning)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827976\") has started.\n",
      "Your task (action_id=\"1827976\") has completed.\n"
     ]
    }
   ],
   "source": [
    "max_dephasing_shift = 0.04 * np.min(np.abs(relative_detunings))\n",
    "dephasing_shifts = np.linspace(\n",
    "    -max_dephasing_shift, max_dephasing_shift, scan_point_count\n",
    ")\n",
    "\n",
    "graph = bo.Graph()\n",
    "\n",
    "for result, infidelity_names in zip(\n",
    "    [result_optimal, result_robust], [optimal_infidelity_names, robust_infidelity_names]\n",
    "):\n",
    "    for dephasing_shift, infidelity_name in zip(dephasing_shifts, infidelity_names):\n",
    "        drives = [\n",
    "            graph.pwc(**result[\"output\"][drive_name]) for drive_name in drive_names\n",
    "        ]\n",
    "\n",
    "        ms_phases = graph.ions.ms_phases(\n",
    "            drives=drives,\n",
    "            lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "            relative_detunings=relative_detunings + dephasing_shift,\n",
    "        )\n",
    "        ms_displacements = graph.ions.ms_displacements(\n",
    "            drives=drives,\n",
    "            lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "            relative_detunings=relative_detunings + dephasing_shift,\n",
    "        )\n",
    "        ms_infidelity = graph.ions.ms_infidelity(\n",
    "            phases=ms_phases,\n",
    "            displacements=ms_displacements,\n",
    "            target_phases=target,\n",
    "            name=infidelity_name,\n",
    "        )\n",
    "\n",
    "dephasing_scan = bo.execute_graph(\n",
    "    graph, output_node_names=optimal_infidelity_names + robust_infidelity_names\n",
    ")\n",
    "\n",
    "optimal_infidelities_dephasing = [\n",
    "    dephasing_scan[\"output\"][name][\"value\"] for name in optimal_infidelity_names\n",
    "]\n",
    "robust_infidelities_dephasing = [\n",
    "    dephasing_scan[\"output\"][name][\"value\"] for name in robust_infidelity_names\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(15, 5))\n",
    "fig.suptitle(\"Quasi-static scans\", y=1.1)\n",
    "\n",
    "axs[0].set_title(\"Timing noise\")\n",
    "axs[0].plot(time_shifts, robust_infidelities_timing, label=\"Robust\")\n",
    "axs[0].plot(time_shifts, optimal_infidelities_timing, label=\"Standard\")\n",
    "axs[0].set_xlabel(\"Pulse timing scaling factor\")\n",
    "axs[0].set_ylabel(\"Infidelity\")\n",
    "\n",
    "axs[1].set_title(\"Dephasing noise\")\n",
    "axs[1].plot(dephasing_shifts / 1e3, robust_infidelities_dephasing, label=\"Robust\")\n",
    "axs[1].plot(dephasing_shifts / 1e3, optimal_infidelities_dephasing, label=\"Standard\")\n",
    "axs[1].set_xlabel(\"Laser detuning shift $\\\\Delta \\\\delta$ (kHz)\")\n",
    "axs[1].set_ylabel(\"Infidelity\")\n",
    "\n",
    "hs, ls = axs[0].get_legend_handles_labels()\n",
    "fig.legend(handles=hs, labels=ls, loc=\"center\", bbox_to_anchor=(0.5, 1.0), ncol=2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The broader high-fidelity regions indicate the benefit of the robust optimized pulses when there is quasi-static dephasing noise or noise in the control pulse timings.\n",
    "The additional robustness for this more general gate is in agreement with published [experimental results](https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.13.024022), using related robustness methodology."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: Creating smoothed parallel gates with user-defined entangling phases\n",
    "\n",
    "In this example we highlight the flexibility of our graph-based computational framework to add several substantial constraints on top of our optimization:\n",
    "\n",
    "- We generate six parallel pairwise \"2-of-12\" entangling operations on a 12-ion chain\n",
    "- Each pair is assigned a different target entangling phase, increasing in steps of 0.2 for each pair\n",
    "- The high-frequency components of the drive are removed using a sinc filter within the optimizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:28:31.817736Z",
     "start_time": "2021-07-08T04:28:28.112512Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827980\") has started.\n",
      "Your task (action_id=\"1827980\") has completed.\n"
     ]
    }
   ],
   "source": [
    "# Define trap and laser characteristics.\n",
    "ion_count = 12\n",
    "center_of_mass_frequencies = [1.6e6, 1.5e6, 0.25e6]\n",
    "wavevector = [(2 * np.pi) / 355e-9, (2 * np.pi) / 355e-9, 0]\n",
    "maximum_rabi_rate = 2 * np.pi * 100e3\n",
    "laser_detuning = 1.6e6 + 4.7e3\n",
    "\n",
    "# Calculate Lamb–Dicke parameters and relative detunings.\n",
    "ion_chain_properties = bo.ions.obtain_ion_chain_properties(\n",
    "    atomic_mass=171,  # Yb ions\n",
    "    ion_count=ion_count,\n",
    "    center_of_mass_frequencies=center_of_mass_frequencies,\n",
    "    wavevector=wavevector,\n",
    "    laser_detuning=laser_detuning,\n",
    ")\n",
    "lamb_dicke_parameters = ion_chain_properties[\"lamb_dicke_parameters\"]\n",
    "relative_detunings = ion_chain_properties[\"relative_detunings\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:28:34.480586Z",
     "start_time": "2021-07-08T04:28:34.476352Z"
    }
   },
   "outputs": [],
   "source": [
    "# Operation duration.\n",
    "duration = 3e-4  # s\n",
    "\n",
    "# Define target phases: element (j,k) is the relative entanglement for ions j and k (k<j).\n",
    "target = np.zeros((ion_count, ion_count))\n",
    "for ion1 in range(1, ion_count, 2):\n",
    "    ion2 = ion1 - 1\n",
    "    target[ion1][ion2] = ion1 / 10"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generating optimized pulses\n",
    "\n",
    "Consider separately-tunable complex drives $\\gamma_j (t) = \\Omega_j e^{i \\phi_j}$ that address each ion $j$ in the trap.\n",
    "The drives are piecewise-constant with amplitude and phase modulation.\n",
    "Additionally, a low-pass (sinc) filter is incorporated into the optimizer to smooth the pulse, as required for many practical implementations.\n",
    "\n",
    "You can set the number of optimized pulse segments and resampling segments for the smoothed pulse, as well as the sinc cutoff frequency in the cell below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:28:40.502161Z",
     "start_time": "2021-07-08T04:28:40.469139Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827983\") has started.\n",
      "Your task (action_id=\"1827983\") has completed.\n",
      "Cost = Infidelity = 4.023e-06\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "segment_count = 32\n",
    "sample_count = 128\n",
    "sample_times = np.linspace(0, duration, sample_count)\n",
    "cutoff_frequency = 2 * np.pi * 0.05e6\n",
    "drive_names = [f\"ion_drive_{number}\" for number in range(ion_count)]\n",
    "\n",
    "graph = bo.Graph()\n",
    "\n",
    "drives = []\n",
    "\n",
    "for drive_name in drive_names:\n",
    "    drive_raw_real = graph.real_optimizable_pwc_signal(\n",
    "        segment_count=segment_count,\n",
    "        duration=duration,\n",
    "        maximum=maximum_rabi_rate,\n",
    "        minimum=-maximum_rabi_rate,\n",
    "    )\n",
    "    drive_raw_imag = graph.real_optimizable_pwc_signal(\n",
    "        segment_count=segment_count,\n",
    "        duration=duration,\n",
    "        maximum=maximum_rabi_rate,\n",
    "        minimum=-maximum_rabi_rate,\n",
    "    )\n",
    "    drives.append(\n",
    "        graph.filter_and_resample_pwc(\n",
    "            pwc=drive_raw_real + 1j * drive_raw_imag,\n",
    "            kernel=graph.sinc_convolution_kernel(cutoff_frequency),\n",
    "            segment_count=sample_count,\n",
    "            name=drive_name,\n",
    "        )\n",
    "    )\n",
    "\n",
    "ms_phases = graph.ions.ms_phases(\n",
    "    drives=drives,\n",
    "    lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "    relative_detunings=relative_detunings,\n",
    ")\n",
    "\n",
    "ms_displacements = graph.ions.ms_displacements(\n",
    "    drives=drives,\n",
    "    lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "    relative_detunings=relative_detunings,\n",
    ")\n",
    "\n",
    "infidelity = graph.ions.ms_infidelity(\n",
    "    phases=ms_phases,\n",
    "    displacements=ms_displacements,\n",
    "    target_phases=target,\n",
    "    name=\"infidelity\",\n",
    ")\n",
    "\n",
    "result = bo.run_optimization(\n",
    "    graph=graph,\n",
    "    cost_node_name=\"infidelity\",\n",
    "    output_node_names=[\"infidelity\"] + drive_names,\n",
    "    optimization_count=4,\n",
    ")\n",
    "print(f\"Cost = Infidelity = {result['output']['infidelity']['value']:.3e}\")\n",
    "qv.plot_controls({\"$\\\\gamma$\": result[\"output\"][\"ion_drive_0\"]})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above figure displays the optimized smooth pulse modulus and phase dynamics for ion 0, as an example of the ion-specific drives."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Performance validation\n",
    "#### Calculate phase space trajectories\n",
    "\n",
    "For a system as large as this, you can separate the simulation of the displacement from the optimization to increase the efficiency.\n",
    "This procedure is demonstrated in the [How to calculate system dynamics for arbitrary Mølmer–Sørensen gates](https://docs.q-ctrl.com/boulder-opal/toolkit/apply/trapped-ion-quantum-computing/how-to-calculate-system-dynamics-for-arbitrary-molmer-sorensen-gates) user guide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:31:49.634315Z",
     "start_time": "2021-07-08T04:31:43.169954Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827986\") has started.\n",
      "Your task (action_id=\"1827986\") has completed.\n"
     ]
    }
   ],
   "source": [
    "graph = bo.Graph()\n",
    "\n",
    "drives = [graph.pwc(**result[\"output\"][drive_name]) for drive_name in drive_names]\n",
    "\n",
    "ms_displacements = graph.ions.ms_displacements(\n",
    "    drives=drives,\n",
    "    lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "    relative_detunings=relative_detunings,\n",
    "    sample_times=sample_times,\n",
    "    name=\"displacements\",\n",
    ")\n",
    "\n",
    "displacement_simulation = bo.execute_graph(graph, \"displacements\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sum over ion index to obtain total displacement of the mode.\n",
    "plot_phase_space_trajectories(\n",
    "    np.sum(displacement_simulation[\"output\"][\"displacements\"][\"value\"], axis=3)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The black cross marks the final displacement for each mode.\n",
    "These are overlapping at zero, indicating no residual state-motional entanglement and no motional heating caused by the operations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate relative phase dynamics\n",
    "\n",
    "The target phases for each pair of ions should be achieved at the end of a successful operation.\n",
    "Again, for a system as large as this, you can separate the simulation of the phases from the optimization, to increase the efficiency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:32:33.547830Z",
     "start_time": "2021-07-08T04:32:20.391081Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Your task (action_id=\"1827989\") is queued.\n",
      "Your task (action_id=\"1827989\") has started.\n",
      "Your task (action_id=\"1827989\") has completed.\n"
     ]
    }
   ],
   "source": [
    "graph = bo.Graph()\n",
    "\n",
    "drives = [graph.pwc(**result[\"output\"][drive_name]) for drive_name in drive_names]\n",
    "\n",
    "ms_phases = graph.ions.ms_phases(\n",
    "    drives=drives,\n",
    "    lamb_dicke_parameters=lamb_dicke_parameters,\n",
    "    relative_detunings=relative_detunings,\n",
    "    sample_times=sample_times,\n",
    "    name=\"phases\",\n",
    ")\n",
    "\n",
    "phase_simulation = bo.execute_graph(graph, \"phases\")\n",
    "\n",
    "phases = phase_simulation[\"output\"][\"phases\"][\"value\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-07-08T04:44:38.221395Z",
     "start_time": "2021-07-08T04:44:37.991955Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "times = sample_times * 1e3\n",
    "\n",
    "for ion1, color in zip(range(1, ion_count, 2), qv.QCTRL_STYLE_COLORS):\n",
    "    ion2 = ion1 - 1\n",
    "    plt.plot(times, phases[:, ion1, ion2], label=f\"{ion2, ion1}\", color=color)\n",
    "    plt.plot(\n",
    "        [0, times[-1]], [target[ion1][ion2], target[ion1][ion2]], \"--\", color=color\n",
    "    )\n",
    "\n",
    "plt.xlabel(\"Time (ms)\")\n",
    "plt.ylabel(\"Relative phase\")\n",
    "plt.legend(title=\"Ion pair\", loc=\"center left\", bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The figure displays the relative phase dynamics for each entangled ion pair, with a color matched to the pair's target relative phase (dashed).\n",
    "Note that by the end of the operation, each ion pair achieves its specified, distinct relative phase target."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": false,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": true,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
