chapter_09.ipynb

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   "source": [
    "# Chapter 9\n",
    "\n",
    "## Section 9.1: Bayesian Networks"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "train = pd.read_csv('./data/train.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "A 47-year old passenger had a chance to survive of 0.1\nA 48-year old passenger had a chance to survive of 0.6\n"
     ]
    }
   ],
   "source": [
    "# Listing 9.1: The chances of survival\n",
    "def chance_to_survive(age):\n",
    "    pop = train[train.Age.eq(age)]\n",
    "    surv = pop[pop.Survived.eq(1)]\n",
    "    prob = len(surv)/(len(pop)+1)\n",
    "    return \"A {}-year old passenger had a chance to survive of {}\".format(age, prob)\n",
    "\n",
    "print(chance_to_survive(47))\n",
    "print(chance_to_survive(48))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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     "text": [
      "54 children had a chance to survive of 0.67\n660 adults had a chance to survive of 0.38\n"
     ]
    }
   ],
   "source": [
    "# Listing 9.2: Survival of children\n",
    "# max age of a child\n",
    "max_child_age = 8\n",
    "\n",
    "# probability to survive of children\n",
    "pop_child = train[train.Age.le(max_child_age)]\n",
    "surv_child = pop_child[pop_child.Survived.eq(1)]\n",
    "p_child = len(surv_child)/len(pop_child)\n",
    "\n",
    "# probability to survive of adults\n",
    "pop_adult = train[train.Age.gt(max_child_age)]\n",
    "surv_adult = pop_adult[pop_adult.Survived.eq(1)]\n",
    "p_adult = len(surv_adult)/len(pop_adult)\n",
    "\n",
    "print(\"{} children had a chance to survive of {}\".format(len(pop_child), round(p_child, 2)))\n",
    "print(\"{} adults had a chance to survive of {}\".format(len(pop_adult), round(p_adult, 2)))"
   ]
  },
  {
   "source": [
    "## Section 9.2: Composing Quantum ComputingControls"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
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   "outputs": [
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\n"
     },
     "metadata": {},
     "execution_count": 7
    }
   ],
   "source": [
    "# Listing 9.3: Specify the marginal probability\n",
    "from qiskit import QuantumCircuit, Aer, execute\n",
    "from qiskit.visualization import plot_histogram\n",
    "import matplotlib.pyplot as plt\n",
    "from math import asin, sqrt\n",
    "\n",
    "def prob_to_angle(prob):\n",
    "    \"\"\"\n",
    "    Converts a given P(psi) value into an equivalent theta value.\n",
    "    \"\"\"\n",
    "    return 2*asin(sqrt(prob))\n",
    "    \n",
    "qc = QuantumCircuit(1)\n",
    "\n",
    "# Set qubit to prior\n",
    "qc.ry(prob_to_angle(0.4), 0)\n",
    "\n",
    "# execute the qc\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result().get_counts()\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
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\n"
     },
     "metadata": {},
     "execution_count": 8
    }
   ],
   "source": [
    "# Listing 9.4: Use the X‐gate to work with the remainder\n",
    "qc = QuantumCircuit(1)\n",
    "\n",
    "# Set qubit to prior\n",
    "qc.ry(prob_to_angle(0.4), 0)\n",
    "\n",
    "# Switch the qubit's value\n",
    "qc.x(0)\n",
    "\n",
    "# execute the qc\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result().get_counts()\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
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     },
     "metadata": {},
     "execution_count": 9
    }
   ],
   "source": [
    "# Listing 9.5: Calculate the joint probability\n",
    "qc = QuantumCircuit(2)\n",
    "\n",
    "# Set qubit to prior\n",
    "qc.ry(prob_to_angle(0.4), 0)\n",
    "\n",
    "# Switch the qubit's value\n",
    "qc.x(0)\n",
    "\n",
    "# Calculate the joint probability of NOT-prior and an event\n",
    "qc.cry(prob_to_angle(0.8), 0,1)\n",
    "\n",
    "# execute the qc\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result().get_counts()\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
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     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "source": [
    "# Listing 9.6: Decomposition of the CRY‐gate\n",
    "qc = QuantumCircuit(2)\n",
    "\n",
    "# Set qubit to prior\n",
    "qc.ry(prob_to_angle(0.4), 0)\n",
    "\n",
    "# Switch the qubit's value\n",
    "qc.x(0)\n",
    "\n",
    "# Apply half of the event's probability\n",
    "qc.ry(prob_to_angle(0.8)/2, 1)\n",
    "\n",
    "# entangle qubits 0 and 1\n",
    "qc.cx(0,1)\n",
    "\n",
    "# Apply the other half of ev_b\n",
    "qc.ry(-prob_to_angle(0.8)/2, 1)\n",
    "\n",
    "# unentganle qubits 0 and 1\n",
    "qc.cx(0,1)\n",
    "\n",
    "# execute the qc\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result().get_counts()\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 9.7: The CCNOT‐function\n",
    "from math import pi\n",
    "theta = pi/2\n",
    "\n",
    "def ccnot(qc):\n",
    "    # Apply the first half of the rotatione\n",
    "    qc.cry(theta, 1,2)\n",
    "\n",
    "    # This sequence has no effect if both control qubits\n",
    "    # are in state |1>\n",
    "    qc.cx(0,1)\n",
    "    qc.cry(-theta,1,2)\n",
    "    qc.cx(0,1)\n",
    "\n",
    "    # Apply the second half of the rotation\n",
    "    qc.cry(theta, 0,2)\n",
    "\n",
    "    # execute the qc\n",
    "    return execute(qc,Aer.get_backend('statevector_simulator')).result().get_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
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     },
     "metadata": {},
     "execution_count": 12
    }
   ],
   "source": [
    "# Listing 9.8: The CCNOT‐gate with both control qubits in state |1>\n",
    "qc = QuantumCircuit(3)\n",
    "\n",
    "# set both qubits to |1>\n",
    "qc.x(0)\n",
    "qc.x(1)\n",
    "\n",
    "# apply the ccnot-gate and execute the qc\n",
    "results = ccnot(qc)\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
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     },
     "metadata": {},
     "execution_count": 13
    }
   ],
   "source": [
    "# Listing 9.9: The CCNOT‐gate with only control qubit q1 in state |1>\n",
    "qc = QuantumCircuit(3)\n",
    "\n",
    "# set only qubit q_1 to |1>\n",
    "qc.x(1)\n",
    "\n",
    "# apply the ccnot-gate and execute the qc\n",
    "results = ccnot(qc)\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
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\n"
     },
     "metadata": {},
     "execution_count": 14
    }
   ],
   "source": [
    "# Listing 9.10: The CCNOT‐gate with only control qubit q0 in state |1>\n",
    "qc = QuantumCircuit(3)\n",
    "\n",
    "# set only qubit q_0 to |1>\n",
    "qc.x(0)\n",
    "\n",
    "# apply the ccnot-gate and execute the qc\n",
    "results = ccnot(qc)\n",
    "plot_histogram(results)"
   ]
  },
  {
   "source": [
    "## Section 9.3: Circuit implementation"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit, Aer, execute\n",
    "from qiskit import ClassicalRegister, QuantumRegister\n",
    "from qiskit.visualization import plot_histogram\n",
    "import matplotlib.pyplot as plt\n",
    "from math import asin, sqrt\n",
    "\n",
    "import pandas as pd\n",
    "train = pd.read_csv('./data/train.csv')\n",
    "\n",
    "def prob_to_angle(prob):\n",
    "    \"\"\"\n",
    "    Converts a given P(psi) value into an equivalent theta value.\n",
    "    \"\"\"\n",
    "    return 2*asin(sqrt(prob))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7fc687745f70>"
      ]
     },
     "metadata": {},
     "execution_count": 16
    }
   ],
   "source": [
    "# Listing 9.11: Initialize the parent nodes\n",
    "# the maximum age of a passenger we consider as a child\n",
    "max_child_age = 8\n",
    "\n",
    "# probability of being a child\n",
    "population_child = train[train.Age.le(max_child_age)]\n",
    "p_child = len(population_child)/len(train)\n",
    "\n",
    "# probability of being female\n",
    "population_female = train[train.Sex.eq(\"female\")]\n",
    "p_female = len(population_female)/len(train)\n",
    "\n",
    "# Initialize the quantum circuit\n",
    "qc = QuantumCircuit(3)\n",
    "\n",
    "# Set qubit0 to p_child\n",
    "qc.ry(prob_to_angle(p_child), 0)\n",
    "\n",
    "# Set qubit1 to p_female\n",
    "qc.ry(prob_to_angle(p_female), 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 9.12: Definition of the CCRY‐gate\n",
    "def ccry(qc, theta, control1, control2, controlled):\n",
    "    qc.cry(theta/2, control2, controlled)\n",
    "    qc.cx(control1, control2)\n",
    "    qc.cry(-theta/2, control2, controlled)\n",
    "    qc.cx(control1, control2)\n",
    "    qc.cry(theta/2, control1, controlled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 9.13: Calculate the conditional probabilities\n",
    "# female children\n",
    "population_female=train[train.Sex.eq(\"female\")]\n",
    "population_f_c=population_female[population_female.Age.le(max_child_age)]\n",
    "surv_f_c=population_f_c[population_f_c.Survived.eq(1)]\n",
    "p_surv_f_c=len(surv_f_c)/len(population_f_c)\n",
    "\n",
    "# female adults\n",
    "population_f_a=population_female[population_female.Age.gt(max_child_age)]\n",
    "surv_f_a=population_f_a[population_f_a.Survived.eq(1)]\n",
    "p_surv_f_a=len(surv_f_a)/len(population_f_a)\n",
    "\n",
    "# male children\n",
    "population_male=train[train.Sex.eq(\"male\")]\n",
    "population_m_c=population_male[population_male.Age.le(max_child_age)]\n",
    "surv_m_c=population_m_c[population_m_c.Survived.eq(1)]\n",
    "p_surv_m_c=len(surv_m_c)/len(population_m_c)\n",
    "\n",
    "# male adults\n",
    "population_m_a=population_male[population_male.Age.gt(max_child_age)]\n",
    "surv_m_a=population_m_a[population_m_a.Survived.eq(1)]\n",
    "p_surv_m_a=len(surv_m_a)/len(population_m_a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 9.14: Initialize the child node\n",
    "# set state |00> to conditional probability of male adults\n",
    "qc.x(0)\n",
    "qc.x(1)\n",
    "ccry(qc,prob_to_angle(p_surv_m_a),0,1,2)\n",
    "qc.x(0)\n",
    "qc.x(1)\n",
    "\n",
    "# set state |01> to conditional probability of male children\n",
    "qc.x(0)\n",
    "ccry(qc,prob_to_angle(p_surv_m_c),0,1,2)\n",
    "qc.x(0)\n",
    "\n",
    "# set state |10> to conditional probability of female adults\n",
    "qc.x(1)\n",
    "ccry(qc,prob_to_angle(p_surv_f_a),0,1,2)\n",
    "qc.x(1)\n",
    "\n",
    "# set state |11> to conditional probability of female children\n",
    "ccry(qc,prob_to_angle(p_surv_f_c),0,1,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
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FRORTZrbC3QuaWtfaa5r/A5zexPLT2fs64z7cfTewApjQaNUEQi/aqDoBmXGvS9qhThERkf1q7YTtC4F7zawAeCW2bAxwDjA1wv83A3jCzJYDfwa+A/QDHon9X48DuPulsdc3AJXAutj2pwG3ATPj6nwAWGpm3wPmAV8HzgDGRYhHREQksgOdsL3humCch9g7me3D3Z8xs17ADwididYAZ7r7xliRxuM1OwP3Af2BPcDbwPeIJdlYnS+b2YWEa6o/jJW5wN1L97tnIiIirZDwCdvdfSbNJFd3P73R6/uB+yPUWT8rkYiISIfRhO0iIiIRtXbICWbWE5hIaErtEr/O3X/YTnGJiIiknFYlTTMbA/weqAWOBqoJ1yZrgQ2Ea4oiIiIHpdY2z/6MMCF6NrAL+CLhjLOM0GFHRETkoNXapDkceNjDjAh1QKa7bwXuINqQExERkbTV2qS5O+75VqB+xp0PCeMtRUREDlqt7Qi0EhgNvEm4/daPzewY4GLgtfYNTUREJLW09kzzLuCd2PMfAH8nTGrQk30nOxARETmotOpM093L4p7/nTD0RERE5JDQ6nGaAGZ2AjA49rLc3de3X0giIiKpqbXjNHsBjwKTgE8+XWy/Ay53923tHJ+IiEjKaO01zV8DeYSbQneNPU4DjgdmtW9oIiIiqaW1zbNFwJfcvSRu2Z/N7Grgj+0XloiISOpp7Znm34F/NrH8I0BNsyIiclBrbdL8IXC/mWXXL4g9/3c076yIiBzk9ts8a2Z/BTxu0fHABjOrjr2un4e2N+Gap4iIyEEpyjVN3dxZRESECEnT3aclIhAREZFUd6CTG3wRGEJotl3r7ovbMygREZFU1NrJDbKBF4CT+XQO2n5mVgZ83d3faXZjERGRNNfa3rMPEu6jmefuue6eCwyMLXuwvYMTERFJJa1tnp0AnO7ulfUL3H29md0IvNSukYmIiKSY1p5pwt7DT1paJiIiclBpbdJ8CXjIzHLrF5jZscD96ExTREQOcq1NmjcChwPrzWyjmW0E3o4tu7G9gxMRkU8VFxczaNAg8vLymD59+j7rZ8yYwZAhQxg+fDhf+tKX2LhxY8O6OXPmMHDgQAYOHMicOXMalt91113k5ubSvXv3hOxDumtt0twGfB44E/h57DHR3Ue5e1V7ByciIkFdXR3XXXcdCxcupLy8nKeffpry8vK9ypx00kmUlZXx2muvce6553L77bcDsH37dqZNm0ZpaSnLly9n2rRp1NTUAHDWWWexfPnyhO9PuoqcNM2sM/A+MNDd/+DuD8UeuruJiEgHW758OXl5eQwYMIAuXbpw4YUXMn/+/L3KnHHGGRx22GEAjBkzhqqqcC7z4osvMmHCBLKysujZsycTJkyguLi4oVzfvn0TuzNpLHLSdPc6YCPQpePCERGRplRXV5Ob29CdhJycHKqrq5st/+ijjzJx4sQD2laa19ohJz8CppvZxe7+XkcEJCIibfPkk09SVlbGkiVLkh3KQae11zRvA8YB1Wb2tpm9Fv/ogPhERATIzs5m06ZNDa+rqqrIzs7ep9wf//hH7rnnHhYsWEBmZmartpX9a+2Z5nOEMZnWAbGIiEgzRo8eTUVFBZWVlWRnZzN37lyeeuqpvcr85S9/4eqrr6a4uJjevXs3LC8qKuL73/9+Q+efRYsWce+99yY0/oNFpKRpZocBPwO+BnyGMCbzBjXRiogkRkZGBg8//DBFRUXU1dVx+eWXk5+fz5QpUygoKGDSpEl897vf5cMPP+S8884D4Nhjj2XBggVkZWVx9913M3r0aACmTJlCVlYWALfffjtPPfUUH330ETk5OUyePJmpU6cmazdTnrnvfzIfM/sZcC3wW2An8A1gsbuf17HhdayCggIvKytrcz1X3t/2WFoy6+aOrV9ERD5lZivcvaCpdVGbZ88BrnD3ubEKfwv82cw6x3rVioiIHPSidgTKBf63/oW7Lwf2AP06IigREZFUFDVpdgZ2N1q2hwO8ibWIiEg6ipr0DHjSzGrjlnUFZpnZR/UL3H1SewYnIiKSSqImzTlNLHuyPQMRERFJdZGSprt/u6MDERERSXW6JikikkY0xC25WjuNnoiIyCFLSVNERCQiJU0REZGIlDRFREQiUtIUERGJSElTREQkIiVNERGRiJQ0RUREIlLSFBERiUhJU0REJCIlTRERkYiUNEVERCJS0hQREYlISVNERCQiJU0REZGIlDRFREQiUtIUERGJKOFJ08yuNbNKM9tlZivM7AstlO1rZk+Z2RtmVmdms5soc5mZeROPrh26IyIicshJaNI0swuAB4CfACcBLwMLzezYZjbJBN4DpgOlLVT9EdA3/uHuu9orbklNxcXFDBo0iLy8PKZPn77P+qVLlzJq1CgyMjJ47rnnGpZv3LiRUaNGMXLkSPLz83nkkUca1q1YsYJhw4aRl5fHjTfeiLsnZF9EJD0k+kzzVmC2u89y99fd/QZgM3BNU4XdfYO73+jus4HtLdTr7r4l/tH+oUsqqaur47rrrmPhwoWUl5fz9NNPU15evleZY489ltmzZ/ONb3xjr+V9+/alpKSEVatWUVpayvTp03nnnXcAuOaaa5g1axYVFRVUVFRQXFycsH0SkdSXsKRpZl2Ak4FFjVYtAk5pY/XdzGyjmVWZ2e/M7KQ21icpbvny5eTl5TFgwAC6dOnChRdeyPz58/cq079/f4YPH06nTnt/zbt06UJmZiYAtbW1fPLJJwBs3ryZHTt2MGbMGMyMSy+9lHnz5iVkf0QkPSTyTPMooDOwtdHyrUCfNtS7DrgcOBu4CNgF/NnMBrahTklx1dXV5ObmNrzOycmhuro68vabNm1i+PDh5Obmcscdd9CvXz+qq6vJyck54DpF5OCXkewA2srdS4CS+tdm9jKwCrgBuLFxeTO7CrgKoF+/fixevBiAAQMGcMQRR7B69WoAevXqRX5+PkuXLgUgIyODcePGsXLlSnbs2AFAQUEBW7duBU7oqN0DwtlQSUnYxW7dulFYWEhpaSk7d+4EYOzYsVRWVrJlS2iVHjJkCHV1daxbtw6A7OxscnJyKC0Nl4W7d+9OQUEBJSUl1NbWAjBu3DjefPNN3n33XQCGDh1KbW0tFRUVAOTm5nLMMcdQVlYGQI8ePRg1ahTLli1jz549AJx22mmsXbuWbdu2ATBixAg++OAD1q9fD4Qzv6ysLFauXAlAz549GTFiBEuWLMHdMTPGjx/P6tWrqampAWDUqFFs376dDRs2AJ9+TmvXrmXz5s389a9/JT8/n9dff53q6mqWLVu2z+f08ccfs2XLlobPeuDAgXTr1o0HH3yQ9957j2nTpvG1r32NFStWUFNTQ0lJCWPHjuWNN95g27ZtLF68mMLCQqqqqhqS6KBBg+jcuXNDk3CfPn04/vjj9Tk1+pwO5O9p06ZNDZ9TZmYma9asAaB3796ceOKJLFu2DIDMzEzGjh1LWVkZH374IcAh8TlBc11A2scnn3xyyH9OLbFEdXSINc9+BFzk7s/GLf8FMNTdx+9n+98B77n7ZRH+r98Afdx9YkvlCgoKvP5L2xZX3t/mKlo06+aOrT8dlZSUMHXqVF588UUA7r33XgDuvPPOfcpedtllfPWrX+Xcc89tsq7LL7+cM888k1NPPZUzzjiDN954A4Cnn36axYsX86tf/aqD9kKk9fR70/HMbIW7FzS1LmHNs+6+G1gBTGi0agKhF227MDMDhhM6GMlBavTo0VRUVFBZWcnu3buZO3cukyZNirRtVVVVw9FqTU0Ny5YtY9CgQfTt25cePXrwyiuv4O48/vjjnH322R25GyKSZhLde3YGcJmZTTazwWb2ANAPeATAzB43s8fjNzCzkWY2EugBZMVeD4lb/29mVmRmA2LlHiUkzUeQg1ZGRgYPP/wwRUVFDB48mPPPP5/8/HymTJnCggULAHj11VfJycnh2Wef5eqrryY/Px+A119/ncLCQkaMGMH48eO57bbbGDZsGAAzZ85k8uTJ5OXlccIJJzBxYouNFSJyiElY82zDf2h2LXA7YTzlGuAWd18aW7cYwN1PjyvfVIAb3b1/bP3/Bc4hdCZ6H/gLMDV2rbNFap4VkXSj35uO11LzbMI7Arn7TGBmM+tOb2KZ7ae+W4Bb2iU4ERGRFmjuWRFptQOdjQlgzpw5DBw4kIEDBzJnzpyG5c888wzDhw8nPz+fO+64o8P3QeRAKGmKSKu0ZTam7du3M23aNEpLS1m+fDnTpk2jpqaGbdu28d3vfpeXXnqJtWvXsmXLFl566aVE7pZIJEqaItIqbZmN6cUXX2TChAlkZWXRs2dPJkyYQHFxMevXr2fgwIEcffTRAHz5y1/m+eefT9g+iUSV9pMbyKGtIztFqENE05qajal+APmBbFtdXc1XvvIV1q1bx4YNG8jJyWHevHns3r273WMXaSslTRFJup49e/LLX/6SCy64gE6dOnHKKafw9ttvJzsskX2oeVZEWiU7O7thCjUIk0VkZ2e3eduzzjqL0tJSSkpKGDRoECeeeGL7Bi7SDpQ0RaRV2jIbU1FREYsWLaKmpoaamhoWLVpEUVERQMP8nzU1NQ2TTIikGiVNEWmVtszGlJWVxd13383o0aMZPXo0U6ZMISsrC4CbbrqJIUOGcOqpp/K9731PZ5qSkhI+I1Aq0YxA6U8dgeRQo9+bjpcSE7aLiIikOyVNERGRiJQ0RUREIlLSFBERiUiTG4hIq6kzihyqdKYpIiISkZKmiIhIREqaIiIiESlpioiIRKSkKSIiEpGSpoiISERKmiIiIhEpaYqIiESkpCkiIhKRkqaIiEhESpoiIiIRKWmKiIhEpKQpIiISkZKmiIhIREqaIiIiESlpioiIRKSkKSIiEpGSpoiISERKmiIiIhEpaYqIiESkpCkiIhKRkqaIiEhESpoiIiIRKWmKiIhEpKQpIoeU4uJiBg0aRF5eHtOnT99nfW1tLRdccAF5eXkUFhayYcM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     },
     "metadata": {},
     "execution_count": 21
    }
   ],
   "source": [
    "# Listing 9.15: Execute the circuit\n",
    "# execute the qc\n",
    "results = execute(qc,Aer.get_backend('statevector_simulator')).result().get_counts()\n",
    "plot_histogram(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Listing 9.16: A quantum circuit with classical register\n",
    "qr = QuantumRegister(3)\n",
    "cr = ClassicalRegister(1)\n",
    "qc = QuantumCircuit(qr, cr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
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\n"
     },
     "metadata": {},
     "execution_count": 23
    }
   ],
   "source": [
    "# Listing 9.17: Run the circuit including a measurement\n",
    "\n",
    "# -- INCLUDE ALL GATES HERE --\n",
    "# Set qubit0 to p_child\n",
    "qc.ry(prob_to_angle(p_child), 0)\n",
    "\n",
    "# Set qubit1 to p_female\n",
    "qc.ry(prob_to_angle(p_female), 1)\n",
    "\n",
    "# set state |00> to conditional probability of male adults\n",
    "qc.x(0)\n",
    "qc.x(1)\n",
    "ccry(qc,prob_to_angle(p_surv_m_a),0,1,2)\n",
    "qc.x(0)\n",
    "qc.x(1)\n",
    "\n",
    "# set state |01> to conditional probability of male children\n",
    "qc.x(0)\n",
    "ccry(qc,prob_to_angle(p_surv_m_c),0,1,2)\n",
    "qc.x(0)\n",
    "\n",
    "# set state |10> to conditional probability of female adults\n",
    "qc.x(1)\n",
    "ccry(qc,prob_to_angle(p_surv_f_a),0,1,2)\n",
    "qc.x(1)\n",
    "\n",
    "# set state |11> to conditional probability of female children\n",
    "ccry(qc,prob_to_angle(p_surv_f_c),0,1,2)\n",
    "\n",
    "qc.measure(qr[2], cr[0])\n",
    "results = execute(qc,Aer.get_backend('qasm_simulator'), shots=1000).result().get_counts()\n",
    "plot_histogram(results)"
   ]
  }
 ]
}