{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c2ba0728",
   "metadata": {},
   "source": [
    "# Gate Family Quick Start"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4152f722",
   "metadata": {},
   "source": [
    "Let us create one pulse family that implements controlled-phase gates,\n",
    "\n",
    "$$\n",
    "\\mathrm{CP}(\\theta)=\\operatorname{diag}(1,1,1,e^{i\\theta}),\n",
    "$$\n",
    "\n",
    "for several target phases $\\theta$. We use `PulseFamilyAnsatz` so the pulse duration and ansatz parameters are smooth functions of the CP phase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9f49ace7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# %pip install -q --progress-bar off rydopt # Uncomment for installation on Colab\n",
    "\n",
    "import numpy as np\n",
    "import rydopt as ro\n",
    "import jax\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2423da4a",
   "metadata": {},
   "source": [
    "First, we choose target phases between $0.05\\pi$ and $\\pi$ that should be realized by the same family of pulses. Each phase defines one `TwoQubitGate`. We leave the single-qubit phase `phi` unspecified, so RydOpt may absorb any accompanying local $Z$ phase. The `GateFamily` combines their infidelities during optimization using a softmax reduction, which is controlled by the `reduction` parameter that sets the scale of per-gate infidelity differences that the optimizer should care about. We choose a value that is one order of magnitude smaller than the target infidelity that we will set later for the optimization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "62fb1d30",
   "metadata": {},
   "outputs": [],
   "source": [
    "target_phases = np.linspace(0.05, 1, 9) * np.pi\n",
    "\n",
    "sampled_gates = [\n",
    "    ro.gates.TwoQubitGate(\n",
    "        phi=None,\n",
    "        theta=phase,\n",
    "        Vnn=float(\"inf\"),\n",
    "        decay=0.0,\n",
    "    )\n",
    "    for phase in target_phases\n",
    "]\n",
    "\n",
    "gate_family = ro.gates.GateFamily(\n",
    "    fixed_argument_gates=sampled_gates,\n",
    "    argument_values=target_phases,\n",
    "    reduction=\"softmax\",\n",
    "    softmax_scale=1e-4,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ab0eea3",
   "metadata": {},
   "source": [
    "Then we choose a pulse family ansatz. The underlying pulse has constant detuning and a sine-CRAB laser-phase sweep with two coefficients. By default, the `PolynomialPulseMapWithCustomDuration` uses an empirical expression with three parameters for interpolating the duration as a function of the target phase. The detuning, laser-phase coefficients, and Rabi frequency amplitude are polynomial functions of the target phase. The degrees `0, 2, 0` of the polynomials keep the detuning phase-independent and make each laser-phase coefficient quadratic. The Rabi frequency amplitude remains fixed at one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "021846f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "degrees = [3, 0, 2, 0]  # duration, detuning, laser phase, Rabi amplitude\n",
    "\n",
    "pulse_map = ro.pulses.PolynomialPulseMapWithCustomDuration(degrees=degrees)\n",
    "pulse_family = ro.pulses.PulseFamilyAnsatz(\n",
    "    detuning_ansatz=ro.pulses.Const(),\n",
    "    phase_ansatz=ro.pulses.SinCrab(2),\n",
    "    pulse_map=pulse_map,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f577074",
   "metadata": {},
   "source": [
    "For multi-start optimization, we provide lower and upper bounds for random pulse-family parameters rather than a single initial guess. The bounds follow the map shapes: three duration parameters, one constant detuning coefficient, two quadratic laser-phase coefficients, and no trainable Rabi parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f167bf7e",
   "metadata": {},
   "outputs": [],
   "source": [
    "min_initial_params = ro.pulses.PulseFamilyParams(\n",
    "    [7, 16, 0.2], [[-0.1]], [[-5.0, -5.0, -5.0], [-5.0, -5.0, -5.0]], [[]]\n",
    ")\n",
    "max_initial_params = ro.pulses.PulseFamilyParams(\n",
    "    [8, 17, 0.3], [[0.0]], [[5.0, 5.0, 5.0], [5.0, 5.0, 5.0]], [[]]\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04feece6",
   "metadata": {},
   "source": [
    "Now, we optimize the pulse-family parameters with `multi_start_optimize`. The optimizer samples random initial parameter sets within the bounds, runs each candidate for up to 1000 steps, and minimizes the mean infidelity over the training CP gates. Because the widths of the initialization bounds span two orders of magnitude (from 0.1 to 10), we set `rescale=True`, which scales each parameter's update step by the width of its initialization interval. Then all parameters move a comparable fraction of their plausible range per step, improving convergence. To keep the runtime reasonable for this quick-start example, we set a target fidelity of $10^{-3}$. Higher fidelities can be achieved by using a pulse family ansatz with more parameters and increasing the number of optimization steps and initializations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d466b8cc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Started optimization using 4 processes\n",
      "\n"
     ]
    },
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       "proc00:   0%|                                                                                                 …"
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     "output_type": "display_data"
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       "proc01:   0%|                                                                                                 …"
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       "proc02:   0%|                                                                                                 …"
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       "proc03:   0%|                                                                                                 …"
      ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=== Optimization finished using multi-start Adam ===\n",
      "\n",
      "Runtime: 320.347 seconds\n",
      "Gates with infidelity below tol=1.0e-03: 9\n",
      "\n",
      "Slowest gate:\n",
      "> infidelity <= tol\n",
      "PulseFamilyParams(\n",
      "  duration_params = [16.79492764, 19.544852  , -0.03658006],\n",
      "  detuning_params = [-0.36887261],\n",
      "  phase_params =    [[-0.7136082 ,  0.54734925,  1.66779244],\n",
      "                     [-3.74666949,  3.460282  ,  2.91358954]],\n",
      "  rabi_params =     []\n",
      ")\n",
      "\n",
      "Fastest gate:\n",
      "> infidelity <= tol\n",
      "PulseFamilyParams(\n",
      "  duration_params = [ 7.64772846, 15.56779742,  0.29144484],\n",
      "  detuning_params = [-0.05752019],\n",
      "  phase_params =    [[ 0.05856142, -1.60975399,  4.25004505],\n",
      "                     [-2.47653115,  4.08420197, -1.47451204]],\n",
      "  rabi_params =     []\n",
      ")\n",
      "> one-sided bootstrap error on duration: 0.009\n"
     ]
    }
   ],
   "source": [
    "opt_result_gate_family = ro.optimization.multi_start_optimize(\n",
    "    gate_family,\n",
    "    pulse_family,\n",
    "    min_initial_params,\n",
    "    max_initial_params,\n",
    "    rescale=True,\n",
    "    tol=1e-3,\n",
    "    num_initializations=80,\n",
    "    num_steps=1000,\n",
    "    num_processes=4,\n",
    "    return_history=False,\n",
    "    learning_rate=0.02,\n",
    ")\n",
    "optimized_family_params = opt_result_gate_family.params"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af31f818",
   "metadata": {},
   "source": [
    "Finally, we inspect generated pulses on a fine phase grid. `generate_pulse_params` evaluates the polynomial map to obtain the single-pulse parameters corresponding to a target phase. Evaluating phases beyond the training points checks how well the optimized family interpolates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3451a8e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x640 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "phases = np.linspace(0, 1, 1000) * np.pi\n",
    "durations = []\n",
    "parameters = []\n",
    "infidelities = []\n",
    "\n",
    "\n",
    "@jax.jit\n",
    "def analyze_phase(\n",
    "    phase: float, family_params: ro.pulses.PulseFamilyParams\n",
    ") -> tuple[jax.Array, jax.Array, jax.Array]:\n",
    "    pulse = pulse_family.pulse_ansatz\n",
    "    params = pulse_family.generate_pulse_params(family_params, phase)\n",
    "    gate = ro.gates.TwoQubitGate(\n",
    "        phi=None,\n",
    "        theta=phase,\n",
    "        Vnn=float(\"inf\"),\n",
    "        decay=0,\n",
    "    )\n",
    "    infidelity = 1 - ro.simulation.process_fidelity(gate, pulse, params)\n",
    "    return params.duration[0], params.phase_params, infidelity\n",
    "\n",
    "\n",
    "for phase in phases:\n",
    "    duration, phase_params, infidelity = analyze_phase(phase, optimized_family_params)\n",
    "    durations.append(float(duration))\n",
    "    parameters.append(np.asarray(phase_params))\n",
    "    infidelities.append(float(infidelity))\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(4, 4), dpi=160)\n",
    "ax1.plot(phases, durations, label=\"Duration\")\n",
    "ax1.plot(\n",
    "    phases,\n",
    "    parameters,\n",
    "    label=[f\"Phase parameter {i + 1}\" for i in range(len(parameters[0]))],\n",
    ")\n",
    "ax1.set_ylabel(\"Optimized\\nparameters\")\n",
    "ax1.legend(loc=\"center right\", fontsize=7)\n",
    "ax2.plot(phases, infidelities, \"k-\")\n",
    "ax2.set_xlim(phases[0], phases[-1])\n",
    "ax2.set_ylabel(\"Infidelity\")\n",
    "ax2.set_xlabel(\"Target phase [rad]\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa3beceb",
   "metadata": {},
   "source": [
    "We can also plot the optimized phase sweeps for the target phases in `gate_family`. The detuning and Rabi functions are hidden because they are fixed or phase-independent in this ansatz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "ae00e9c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ro.characterization.plot_pulse_family(\n",
    "    pulse_family,\n",
    "    optimized_family_params,\n",
    "    gate_family,\n",
    "    plot_detuning=False,\n",
    "    plot_rabi=False,\n",
    ");"
   ]
  }
 ],
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