q-optimize/c3

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examples/frequency_dependent_coupling.ipynb

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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2022-06-02 11:02:03.856604: W tensorflow/stream_executor/platform/default/dso_loader.cc:60] Could not load dynamic library 'libcudart.so.11.0'; dlerror: libcudart.so.11.0: cannot open shared object file: No such file or directory\n",
      "2022-06-02 11:02:03.856632: I tensorflow/stream_executor/cuda/cudart_stub.cc:29] Ignore above cudart dlerror if you do not have a GPU set up on your machine.\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "\n",
    "# System imports\n",
    "import copy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tensorflow as tf\n",
    "\n",
    "\n",
    "# Main C3 objects\n",
    "from c3.c3objs import Quantity as Qty\n",
    "from c3.parametermap import ParameterMap as PMap\n",
    "from c3.experiment import Experiment as Exp\n",
    "from c3.model import Model as Mdl\n",
    "from c3.generator.generator import Generator as Gnr\n",
    "\n",
    "# Building blocks\n",
    "import c3.generator.devices as devices\n",
    "import c3.signal.gates as gates\n",
    "import c3.libraries.chip as chip\n",
    "import c3.signal.pulse as pulse\n",
    "\n",
    "# Libs and helpers\n",
    "import c3.libraries.hamiltonians as hamiltonians\n",
    "import c3.libraries.envelopes as envelopes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_dynamics(exp, psi_init, seq):\n",
    "        \"\"\"\n",
    "        Plotting code for time-resolved populations.\n",
    "\n",
    "        Parameters\n",
    "        ----------\n",
    "        psi_init: tf.Tensor\n",
    "            Initial state or density matrix.\n",
    "        seq: list\n",
    "            List of operations to apply to the initial state.\n",
    "        \"\"\"\n",
    "        model = exp.pmap.model\n",
    "        exp.compute_propagators()\n",
    "        dUs = exp.partial_propagators\n",
    "        psi_t = psi_init.numpy()\n",
    "        pop_t = exp.populations(psi_t, model.lindbladian)\n",
    "        for gate in seq:\n",
    "            for du in dUs[gate]:\n",
    "                psi_t = np.matmul(du.numpy(), psi_t)\n",
    "                pops = exp.populations(psi_t, model.lindbladian)\n",
    "                pop_t = np.append(pop_t, pops, axis=1)\n",
    "\n",
    "        fig, axs = plt.subplots(1, 1)\n",
    "        ts = exp.ts\n",
    "        dt = ts[1] - ts[0]\n",
    "        ts = np.linspace(0.0, dt*pop_t.shape[1], pop_t.shape[1])\n",
    "        axs.plot(ts / 1e-9, pop_t.T)\n",
    "        axs.grid(linestyle=\"--\")\n",
    "        axs.tick_params(\n",
    "            direction=\"in\", left=True, right=True, top=True, bottom=True\n",
    "        )\n",
    "        axs.set_xlabel('Time [ns]')\n",
    "        axs.set_ylabel('Population')\n",
    "        plt.legend(model.state_labels)\n",
    "        pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2022-06-02 11:02:06.132799: I tensorflow/compiler/jit/xla_cpu_device.cc:41] Not creating XLA devices, tf_xla_enable_xla_devices not set\n",
      "2022-06-02 11:02:06.133018: W tensorflow/stream_executor/platform/default/dso_loader.cc:60] Could not load dynamic library 'libcuda.so.1'; dlerror: libcuda.so.1: cannot open shared object file: No such file or directory\n",
      "2022-06-02 11:02:06.133036: W tensorflow/stream_executor/cuda/cuda_driver.cc:326] failed call to cuInit: UNKNOWN ERROR (303)\n",
      "2022-06-02 11:02:06.133059: I tensorflow/stream_executor/cuda/cuda_diagnostics.cc:156] kernel driver does not appear to be running on this host (max-laptop): /proc/driver/nvidia/version does not exist\n",
      "2022-06-02 11:02:06.133375: I tensorflow/core/platform/cpu_feature_guard.cc:142] This TensorFlow binary is optimized with oneAPI Deep Neural Network Library (oneDNN) to use the following CPU instructions in performance-critical operations:  AVX2 FMA\n",
      "To enable them in other operations, rebuild TensorFlow with the appropriate compiler flags.\n",
      "2022-06-02 11:02:06.133717: I tensorflow/compiler/jit/xla_gpu_device.cc:99] Not creating XLA devices, tf_xla_enable_xla_devices not set\n"
     ]
    }
   ],
   "source": [
    "# One fixed frequency qubit coupled to a frequency tunable qubit\n",
    "\n",
    "qubit_lvls = 3\n",
    "freq_q1 = 5e9\n",
    "anhar_q1 = -210e6\n",
    "\n",
    "q1 = chip.Qubit(\n",
    "    name=\"Q1\",\n",
    "    freq=Qty(value=freq_q1, min_val=4.995e9, max_val=5.005e9, unit='Hz 2pi'),\n",
    "    anhar=Qty(value=anhar_q1, min_val=-380e6, max_val=-120e6, unit='Hz 2pi'),\n",
    "    hilbert_dim=qubit_lvls,\n",
    ")\n",
    "\n",
    "freq_q2 = 5.6e9\n",
    "anhar_q2 = -240e6\n",
    "phi_0 = Qty(1)\n",
    "phi = Qty(0.3)\n",
    "d = Qty(0.5)\n",
    "\n",
    "q2 = chip.Transmon(\n",
    "    name=\"Q2\",\n",
    "    freq=Qty(value=freq_q2, min_val=5.595e9, max_val=5.605e9, unit='Hz 2pi'),\n",
    "    anhar=Qty(value=anhar_q2, min_val=-380e6, max_val=-120e6, unit='Hz 2pi'),\n",
    "    hilbert_dim=qubit_lvls,\n",
    "    d=d,\n",
    "    phi=phi,\n",
    "    phi_0=phi_0,\n",
    ")\n",
    "\n",
    "\n",
    "coupling_strength = 50e6\n",
    "q1q2 = chip.Coupling(\n",
    "    name=\"Q1-Q2\",\n",
    "    connected=[\"Q1\", \"Q2\"],\n",
    "    strength=Qty(\n",
    "        value=coupling_strength,\n",
    "        min_val=-1 * 1e3 ,\n",
    "        max_val=200e6 ,\n",
    "        unit='Hz 2pi'\n",
    "    ),\n",
    "    hamiltonian_func=hamiltonians.int_YY\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Frequency drive on qubit 2\n",
    "Z_drive2 = chip.Drive(\n",
    "    name=\"Zd2\",\n",
    "    connected=[\"Q2\"],\n",
    "    hamiltonian_func=hamiltonians.z_drive\n",
    ")\n",
    "\n",
    "# Drive on coupling\n",
    "Coup_drive = chip.Coupling_Drive(\n",
    "    name=\"Cd\",\n",
    "    connected=[\"Q1\", \"Q2\"],\n",
    "    hamiltonian_func=hamiltonians.int_YY\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = Mdl(\n",
    "    [q1, q2], # Individual, self-contained components\n",
    "    [Z_drive2, q1q2, Coup_drive],  # Interactions between components\n",
    ")\n",
    "model.set_lindbladian(False)\n",
    "model.set_dressed(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/max/anaconda3/envs/c3-dev/lib/python3.8/site-packages/tensorflow/python/framework/constant_op.py:98: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return ops.EagerTensor(value, ctx.device_name, dtype)\n"
     ]
    }
   ],
   "source": [
    "sim_res = 100e9 # Resolution for numerical simulation\n",
    "awg_res = 2e9 # Realistic, limited resolution of an AWG\n",
    "\n",
    "# Standard devices\n",
    "lo = devices.LO(name='lo', resolution=sim_res)\n",
    "awg = devices.AWG(name='awg', resolution=awg_res)\n",
    "mixer = devices.Mixer(name='mixer')\n",
    "dig_to_an = devices.DigitalToAnalog(name=\"dac\", resolution=sim_res)\n",
    "\n",
    "\n",
    "# Frequency tuning of seconf qubit\n",
    "flux_tuning = devices.FluxTuning(name=\"flux_tuning\", phi_0=phi_0, phi=phi, d=d, omega_0=Qty(freq_q2, unit='Hz 2pi'), anhar=Qty(anhar_q2, unit='Hz 2pi'))\n",
    "\n",
    "# Coupling tuning to capture dependence of coupling on the frequency of the coupled elements\n",
    "coup_tuning_1 = devices.CouplingTuning(name=\"coup_tuning_one\",\n",
    "                                            two_inputs=False,\n",
    "                                            w_2=Qty(freq_q1, unit='Hz 2pi'), \n",
    "                                            w_1=Qty(q2.get_freq()/(2*np.pi), unit='Hz 2pi'), \n",
    "                                            g0=Qty(coupling_strength, unit='Hz 2pi'),\n",
    "                                            )\n",
    "\n",
    "\n",
    "generator = Gnr(\n",
    "        devices={\n",
    "            \"LO\": lo,\n",
    "            \"AWG\": awg,\n",
    "            \"DigitalToAnalog\": dig_to_an,\n",
    "            \"Mixer\": mixer,\n",
    "            \"flux_tuning\": flux_tuning,\n",
    "            \"coup_tuning_one\": coup_tuning_1\n",
    "        },\n",
    "        chains={\n",
    "            # Line for frequency modulation\n",
    "            \"Zd2\": {\n",
    "                \"LO\": [],\n",
    "                \"AWG\": [],\n",
    "                \"DigitalToAnalog\": [\"AWG\"],\n",
    "                \"Mixer\": [\"LO\", \"DigitalToAnalog\"],\n",
    "                \"flux_tuning\": [\"Mixer\"],\n",
    "            },\n",
    "            # Line for coupling modulation. Input for coupling tuning is the frequency tuning of the connected elements\n",
    "            \"Cd\": {\n",
    "                \"LO\": [],\n",
    "                \"AWG\": [],\n",
    "                \"DigitalToAnalog\": [\"AWG\"],\n",
    "                \"Mixer\": [\"LO\", \"DigitalToAnalog\"],\n",
    "                \"flux_tuning\": [\"Mixer\"],\n",
    "                \"coup_tuning_one\": [\"flux_tuning\"]\n",
    "            }\n",
    "        }\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a gate with frequency dependent coupling (\"gate\") and without frequency dependent coupling (\"gate_no\")\n",
    "t_final_2Q = 200e-9\n",
    "\n",
    "gauss_params= {\n",
    "    'amp': Qty(value=0.1, min_val=0.02, max_val=0.6, unit=\"V\"),\n",
    "    't_final': Qty(value=t_final_2Q, min_val=0.5 * t_final_2Q, max_val=1.5 * t_final_2Q, unit=\"s\"),\n",
    "    'sigma': Qty(value=t_final_2Q / 4, min_val=t_final_2Q / 8, max_val=t_final_2Q / 2, unit=\"s\"),\n",
    "}\n",
    "\n",
    "gauss_env = pulse.EnvelopeDrag(\n",
    "    name=\"gauss1\",\n",
    "    desc=\"Gaussian envelope on drive 1\",\n",
    "    params=gauss_params,\n",
    "    shape=envelopes.gaussian_nonorm\n",
    ")\n",
    "\n",
    "lo_freq = 322.80e6\n",
    "carr = pulse.Carrier(\n",
    "    name=\"carrier\",\n",
    "    desc=\"Carrier on drive 1\",\n",
    "    params={\n",
    "        'freq': Qty(value=lo_freq, min_val=0.9 * lo_freq, max_val=1.1 * lo_freq, unit='Hz 2pi'),\n",
    "        'framechange': Qty(value=0.0, min_val=-np.pi, max_val=3 * np.pi, unit='rad')\n",
    "    }\n",
    ")\n",
    "\n",
    "gate = gates.Instruction(\n",
    "    name=\"gate\", targets=[0, 1], t_start=0.0, t_end=t_final_2Q, channels=[\"Zd2\", \"Cd\"],\n",
    ")\n",
    "gate.add_component(gauss_env, \"Zd2\")\n",
    "gate.add_component(carr, \"Zd2\")\n",
    "\n",
    "gate.add_component(gauss_env, \"Cd\")\n",
    "gate.add_component(carr, \"Cd\")\n",
    "\n",
    "\n",
    "gate_no = gates.Instruction(\n",
    "    name=\"gate_no\", targets=[0, 1], t_start=0.0, t_end=t_final_2Q, channels=[\"Zd2\"],\n",
    ")\n",
    "gate_no.add_component(gauss_env, \"Zd2\")\n",
    "gate_no.add_component(carr, \"Zd2\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "parameter_map = PMap(instructions=[gate, gate_no], model=model, generator=generator)\n",
    "exp = Exp(pmap=parameter_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "psi_init = [[0] * 9]\n",
    "psi_init[0][1] = 1\n",
    "init_state = tf.transpose(tf.constant(psi_init, tf.complex128))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dynamics with frequency dependent coupling\n",
    "sequence = [gate.get_key()]\n",
    "plot_dynamics(exp, init_state, sequence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Different dynamics without frequency dependent coupling\n",
    "sequence = [gate_no.get_key()]\n",
    "plot_dynamics(exp, init_state, sequence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fbb3cda7cd0>]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Frequency modulation\n",
    "signals = generator.generate_signals(gate)\n",
    "end = -1\n",
    "plt.plot(signals[\"Zd2\"][\"ts\"][:end], signals[\"Zd2\"][\"values\"][:end]/1e6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fbb3cd05a30>]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Coupling modulation\n",
    "signals = generator.generate_signals(gate)\n",
    "end=-1\n",
    "plt.plot(signals[\"Cd\"][\"ts\"][:end], signals[\"Cd\"][\"values\"][:end]/1e6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "c786d6a8ee1f7bc63a64df7d2b3dd05df285c7cc5d2c354ca7d6af2bbdf58f5d"
  },
  "kernelspec": {
   "display_name": "Python 3.8.8 ('c3-dev')",
   "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": "3.8.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}