optimize_ocs_transmon.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d3f299df",
   "metadata": {},
   "source": [
    "# Optimize OCS Qubit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "444dd9ab",
   "metadata": {},
   "source": [
    "## Read All the Data into DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "6f4310be",
   "metadata": {},
   "outputs": [],
   "source": [
    "import glob\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "48030633",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['data/simulation_info_2022-11-16-21-40-28.csv',\n",
       " 'data/simulation_info_2022-11-17-12-33-05.csv',\n",
       " 'data/simulation_info_2022-11-17-12-24-22.csv',\n",
       " 'data/simulation_info_2022-11-16-21-55-23.csv',\n",
       " 'data/simulation_info_2022-11-17-11-48-43.csv',\n",
       " 'data/simulation_info_2022-11-16-21-33-00.csv',\n",
       " 'data/simulation_info_2022-11-17-12-04-54.csv',\n",
       " 'data/simulation_info_2022-11-16-21-44-12.csv',\n",
       " 'data/simulation_info_2022-11-17-12-18-34.csv',\n",
       " 'data/simulation_info_2022-11-16-21-25-29.csv',\n",
       " 'data/simulation_info_2022-11-17-11-58-08.csv',\n",
       " 'data/simulation_info_2022-11-16-21-47-55.csv',\n",
       " 'data/simulation_info_2022-11-17-12-35-39.csv',\n",
       " 'data/simulation_info_2022-11-16-21-29-14.csv',\n",
       " 'data/simulation_info_2022-11-17-11-16-14.csv',\n",
       " 'data/simulation_info_2022-11-17-12-27-28.csv',\n",
       " 'data/simulation_info_2022-11-17-12-29-39.csv',\n",
       " 'data/simulation_info_2022-11-17-12-11-29.csv',\n",
       " 'data/simulation_info_2022-11-16-21-36-44.csv',\n",
       " 'data/simulation_info_2022-11-17-12-03-00.csv',\n",
       " 'data/simulation_info_2022-11-17-11-21-42.csv',\n",
       " 'data/simulation_info_2022-11-16-20-41-44.csv',\n",
       " 'data/simulation_info_2022-11-17-12-13-06.csv',\n",
       " 'data/simulation_info_2022-11-17-11-59-56.csv',\n",
       " 'data/simulation_info_2022-11-17-11-56-12.csv',\n",
       " 'data/simulation_info_2022-11-16-21-21-46.csv',\n",
       " 'data/simulation_info_2022-11-17-11-43-27.csv',\n",
       " 'data/simulation_info_2022-11-17-11-54-29.csv',\n",
       " 'data/simulation_info_2022-11-17-11-51-25.csv',\n",
       " 'data/simulation_info_2022-11-17-11-41-34.csv',\n",
       " 'data/simulation_info_2022-11-17-12-09-51.csv',\n",
       " 'data/simulation_info_2022-11-16-21-51-39.csv',\n",
       " 'data/simulation_info_2022-11-17-12-16-11.csv',\n",
       " 'data/simulation_info_2022-11-17-12-06-28.csv',\n",
       " 'data/simulation_info_2022-11-17-12-08-16.csv',\n",
       " 'data/simulation_info_2022-11-17-12-01-26.csv',\n",
       " 'data/simulation_info_2022-11-17-11-25-07.csv',\n",
       " 'data/simulation_info_2022-11-17-11-38-42.csv',\n",
       " 'data/simulation_info_2022-11-16-20-44-55.csv',\n",
       " 'data/simulation_info_2022-11-17-11-28-20.csv',\n",
       " 'data/simulation_info_2022-11-17-11-46-48.csv',\n",
       " 'data/simulation_info_2022-11-16-20-48-08.csv',\n",
       " 'data/simulation_info_2022-11-16-20-23-45.csv',\n",
       " 'data/simulation_info_2022-11-17-12-21-35.csv']"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_files = glob.glob(\"data/*csv\")\n",
    "data_files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "3e58895e",
   "metadata": {},
   "outputs": [],
   "source": [
    "dfs = [pd.read_csv(data_files[i]) for i in range(len(data_files))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "7b5ddc78",
   "metadata": {},
   "outputs": [
    {
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       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>225</td>\n",
       "      <td>30</td>\n",
       "      <td>30</td>\n",
       "      <td>90</td>\n",
       "      <td>15.70</td>\n",
       "      <td>4.474118</td>\n",
       "      <td>1016.582244</td>\n",
       "      <td>-16.079517</td>\n",
       "      <td>13.390196</td>\n",
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       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>130</td>\n",
       "      <td>10</td>\n",
       "      <td>20</td>\n",
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       "      <td>6.475013</td>\n",
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       "  </tbody>\n",
       "</table>\n",
       "</div>"
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      "text/plain": [
       "   Unnamed: 0  cross_length (um)  cross_width (um)  cross_gap (um)  Lj (nH)  \\\n",
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       "0           0                225                30              30       10   \n",
       "0           0                130                30              20       20   \n",
       "\n",
       "   Cj (fF)  qubit_freq (GHz)        ratio  alpha (MHz)  w03 (GHz)  \n",
       "0    32.72          4.474118    18.545471  -881.409316  11.659536  \n",
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       "0   127.48          5.914017    30.927251  -528.535533  16.684981  \n",
       "0   127.48          6.799280    23.473288  -696.372458  19.005096  \n",
       "0   127.48          7.007953    22.251960  -734.593762  19.554671  \n",
       "0    15.70          4.474118  1016.582244   -16.079517  13.390196  \n",
       "0   127.48          6.475013    26.069154  -627.030377  18.170978  \n",
       "0   127.48          7.684031    18.565521  -880.457447  21.291178  \n",
       "0   127.48          7.290732    20.547767  -795.519591  20.281157  \n",
       "0   127.48          6.517547    28.847346  -566.643155  18.419354  \n",
       "0   127.48          5.918278    31.352555  -521.365850  16.712101  \n",
       "0   127.48          7.432039    19.699080  -829.792605  20.636532  \n",
       "0   127.48          4.471150    55.198051  -296.136385  12.821176  \n",
       "0   127.48          5.083370    42.785067  -382.052724  14.486003  \n",
       "0   127.48          6.224216    27.946453  -584.909694  17.502828  \n",
       "0    80.38          4.471150    36.942846  -442.471363  12.528506  \n",
       "0   268.38          4.439588   111.085755  -147.148942  13.024465  \n",
       "0   127.48          5.618781    34.439679  -474.631349  15.907081  "
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.concat(dfs)\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db4123b2",
   "metadata": {},
   "source": [
    "# OCS Qubit Analysis:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "51ffa723",
   "metadata": {},
   "source": [
    "## Constraint 1: $\\frac{E_j}{E_c} \\le 20$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "id": "4ba7a19c",
   "metadata": {},
   "outputs": [
    {
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       "      <td>-829.792605</td>\n",
       "      <td>20.636532</td>\n",
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       "</table>\n",
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      ],
      "text/plain": [
       "   Unnamed: 0  cross_length (um)  cross_width (um)  cross_gap (um)  Lj (nH)  \\\n",
       "0           0                225                30              30       60   \n",
       "0           0                100                10              50       20   \n",
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       "0           0                100                10              35       20   \n",
       "0           0                100                20              50       20   \n",
       "0           0                100                10              20       20   \n",
       "\n",
       "   Cj (fF)  qubit_freq (GHz)      ratio  alpha (MHz)  w03 (GHz)  \n",
       "0    32.72          4.474118  18.545471  -881.409316  11.659536  \n",
       "0   127.48          8.363161  15.708265 -1040.608343  23.008266  \n",
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     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1 = df[df[\"ratio\"] <= 20]\n",
    "df1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1d46db7",
   "metadata": {},
   "source": [
    "## Constraint 2: Smallest Qubit Frequency  (Ideally $\\omega_{01} < 4$ )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "5960db0a",
   "metadata": {},
   "outputs": [
    {
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       "      <td>18.545471</td>\n",
       "      <td>-881.409316</td>\n",
       "      <td>11.659536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>150</td>\n",
       "      <td>25</td>\n",
       "      <td>40</td>\n",
       "      <td>40</td>\n",
       "      <td>56.71</td>\n",
       "      <td>5.918278</td>\n",
       "      <td>15.758939</td>\n",
       "      <td>-1037.262172</td>\n",
       "      <td>15.680309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>10</td>\n",
       "      <td>20</td>\n",
       "      <td>20</td>\n",
       "      <td>127.48</td>\n",
       "      <td>7.432039</td>\n",
       "      <td>19.699080</td>\n",
       "      <td>-829.792605</td>\n",
       "      <td>20.636532</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>20</td>\n",
       "      <td>50</td>\n",
       "      <td>20</td>\n",
       "      <td>127.48</td>\n",
       "      <td>7.684031</td>\n",
       "      <td>18.565521</td>\n",
       "      <td>-880.457447</td>\n",
       "      <td>21.291178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>10</td>\n",
       "      <td>35</td>\n",
       "      <td>20</td>\n",
       "      <td>127.48</td>\n",
       "      <td>8.038629</td>\n",
       "      <td>16.927161</td>\n",
       "      <td>-965.675863</td>\n",
       "      <td>22.184536</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>100</td>\n",
       "      <td>10</td>\n",
       "      <td>50</td>\n",
       "      <td>20</td>\n",
       "      <td>127.48</td>\n",
       "      <td>8.363161</td>\n",
       "      <td>15.708265</td>\n",
       "      <td>-1040.608343</td>\n",
       "      <td>23.008266</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0  cross_length (um)  cross_width (um)  cross_gap (um)  Lj (nH)  \\\n",
       "0           0                225                30              30       60   \n",
       "0           0                150                25              40       40   \n",
       "0           0                100                10              20       20   \n",
       "0           0                100                20              50       20   \n",
       "0           0                100                10              35       20   \n",
       "0           0                100                10              50       20   \n",
       "\n",
       "   Cj (fF)  qubit_freq (GHz)      ratio  alpha (MHz)  w03 (GHz)  \n",
       "0    32.72          4.474118  18.545471  -881.409316  11.659536  \n",
       "0    56.71          5.918278  15.758939 -1037.262172  15.680309  \n",
       "0   127.48          7.432039  19.699080  -829.792605  20.636532  \n",
       "0   127.48          7.684031  18.565521  -880.457447  21.291178  \n",
       "0   127.48          8.038629  16.927161  -965.675863  22.184536  \n",
       "0   127.48          8.363161  15.708265 -1040.608343  23.008266  "
      ]
     },
     "execution_count": 131,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1 = df1.sort_values(by=['qubit_freq (GHz)'])\n",
    "df1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "4062ae65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>cross_length (um)</th>\n",
       "      <th>cross_width (um)</th>\n",
       "      <th>cross_gap (um)</th>\n",
       "      <th>Lj (nH)</th>\n",
       "      <th>Cj (fF)</th>\n",
       "      <th>qubit_freq (GHz)</th>\n",
       "      <th>ratio</th>\n",
       "      <th>alpha (MHz)</th>\n",
       "      <th>w03 (GHz)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
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      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [Unnamed: 0, cross_length (um), cross_width (um), cross_gap (um), Lj (nH), Cj (fF), qubit_freq (GHz), ratio, alpha (MHz), w03 (GHz)]\n",
       "Index: []"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df2 = df1[df1[\"qubit_freq (GHz)\"] < 4]\n",
    "df2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd136822",
   "metadata": {},
   "source": [
    "# Choose Qubit Parameters:\n",
    "\n",
    "- **LL FIXES THE JJ LENGTH = 2 nm**\n",
    "\n",
    "- [ ] get $L_j$\n",
    "- [ ] COMPUTE JJ WIDTH FOR THE CORRESPONDING $L_j$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3a35a33d",
   "metadata": {},
   "outputs": [],
   "source": [
    "L_j = None #from df\n",
    "cross_length = None #from df\n",
    "cross_width = None #from df\n",
    "cross_gap = None #from df\n",
    "w03 = None #from df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "04b9fc90",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_JJ_area(Lj):\n",
    "    raise NotImplementedError()\n",
    "    \n",
    "def cal_josephson_inductance(jj_length, density = 1, bSquid=False):\n",
    "    jj_length = jj_length * 1e-3\n",
    "    jj_width = 200 * 1e-3 # in um\n",
    "    jj_area = jj_width * jj_length\n",
    "    Ic = jj_area * density * 1e-6  # in uA\n",
    "    pi = np.pi\n",
    "    Phi0 = 2.068 * 1e-15\n",
    "    if not bSquid:\n",
    "        return Phi0/Ic/2/pi * 1e9 #in nH\n",
    "    else:\n",
    "        return Phi0/(Ic*2)/2/pi * 1e9\n",
    "    \n",
    "def cal_JJ_width(Lj, density = 1, bSquid=False):\n",
    "    Lj = Lj * 1E-9 #in puts in nH -> converts to base unit\n",
    "    jj_length = 200 * 1e-3 # in um\n",
    "    pi = np.pi\n",
    "    Phi0 = 2.068 * 1e-15\n",
    "    if not bSquid:\n",
    "        return Phi0 / (2 * pi * jj_length * density * Lj) * 1E9 #nm\n",
    "    else:\n",
    "        return Phi0/ (4 * pi * jj_length * density * Lj) * 1E9 #nm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "c144b367",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "150.97817537341263"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "jj_width = cal_JJ_width(10.9, bSquid=False)\n",
    "jj_width"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "id": "def22489",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.97108074380132"
      ]
     },
     "execution_count": 210,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cal_josephson_inductance(150, density = 1, bSquid=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "36aefa68",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "id": "91295ca1",
   "metadata": {},
   "outputs": [],
   "source": [
    "cross_lengths = np.arange(100,200,25)\n",
    "cross_widths = np.arange(5,30,5)\n",
    "cross_gaps = np.arange(35,51,5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "id": "04813cd8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.333333333333333"
      ]
     },
     "execution_count": 212,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(cross_lengths)*len(cross_widths)*len(cross_gaps)*4/60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "id": "0c976058",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([100, 125, 150, 175])"
      ]
     },
     "execution_count": 213,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_lengths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "id": "aa6ec270",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5, 10, 15, 20, 25])"
      ]
     },
     "execution_count": 214,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_widths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "id": "4aad70b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([35, 40, 45, 50])"
      ]
     },
     "execution_count": 215,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cross_gaps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cc03684d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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