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    "---\n",
    "title: \"SEng 457 Portfolio Project\"\n",
    "description: \"Some personal reflections on the SEng 457 course\"\n",
    "date: \"2026-03-08\"\n",
    "author: \"Zak Toews\"\n",
    "categories: [quantum, course work, pennylane]\n",
    "jupyter: python3\n",
    "execute:\n",
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    "format:\n",
    "  html:\n",
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    "      - text: \"Download notebook\"\n",
    "        icon: download\n",
    "        href: TPP-P1-Zak-Toews.ipynb\n",
    "    resources:\n",
    "      - TPP-P1-Zak-Toews.ipynb\n",
    "    code-fold: true\n",
    "    code-summary: \"Show code\"\n",
    "---"
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   "source": [
    "<center>\n",
    "    \n",
    "# **Quantum Algorithms and Software Engineering: Term Portfolio Project**\n",
    "\n",
    "### By Zak Toews\n",
    "### 4th Year Software Engineering Student\n",
    "\n",
    "</center>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94385fcd-1073-4a15-890c-c3523c1dd133",
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   "source": [
    "## **Part 1: Documenting my Quantum Journey**\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac28d27c-5542-417f-b958-bcbe31851813",
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   "source": [
    "### 1. *How did you get up to speed in basic linear algebra (e.g., Euler formula, complex plane,  linear transformations or operators, eigenvectors and eigenvalues), including which resources you consulted in this process?*\n",
    "\n",
    "In this course, it was brought to our attention that the foundations of Quantum Computing relies on a understanding of linear algerbra, trigonometry, complex numbers, and matrix operations. We have yet to work with eigenvalues and eigenvectors.\n",
    "\n",
    "For the matrix algebra, I had recalled *some* of my knowledge from my first year course which is almost 5 years ago now. But, I was not too concerned as if I had learned it fine the first time, I could learn it again without much of a hitch. I looked up the basic Matrix Operations [1](#Bibliography), practice was real time during Quizzes and Assignments, and I would verify my answers with some tools [2][3]. Although, I am still pretty weary about trusting the math that AI pumps out, but Gemini is pretty good at it now.\n",
    "\n",
    "For trigonometry and Euler's formula, I understand the basics, but I have been consistently going back to the slides that contain Euler's identity then trying to imagine what how the phase change affects the qubit on the Bloch sphere. The complex plane as it is has been drilled home for me from classes such as ECE 360 Control Systems (T_T).\n",
    "\n",
    "I included some code to show the different basis states below.\n"
   ]
  },
  {
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   "execution_count": 1,
   "id": "939a7f3f-3a74-4107-b87f-32e7537d20aa",
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   "outputs": [
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",
      "text/plain": [
       "<Figure size 1920x480 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from qiskit.visualization import plot_bloch_vector\n",
    "\n",
    "# Coordinates for the 6 basis states [x, y, z]\n",
    "states = {\n",
    "    \"|0>\": [0, 0, 1],\n",
    "    \"|1>\": [0, 0, -1],\n",
    "    \"|+>\": [1, 0, 0],\n",
    "    \"|->\": [-1, 0, 0],\n",
    "    \"|i>\": [0, 1, 0],\n",
    "    \"|-i>\": [0, -1, 0]\n",
    "}\n",
    "\n",
    "# Create subplots with 3D projection\n",
    "fig = plt.figure(figsize=(20, 5))\n",
    "\n",
    "for i, (label, coord) in enumerate(states.items()):\n",
    "    # Add a 3D subplot for each basis vector\n",
    "    ax = fig.add_subplot(1, 6, i + 1, projection='3d')\n",
    "    plot_bloch_vector(coord, title=label, ax=ax)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5cd3aa6d-762c-4322-bf56-f63ea280564f",
   "metadata": {},
   "source": [
    "### 2. *How did you get started in documenting linear algebra formulas (e.g., Euler formula or matrices) using LaTeX Markdown in Jupyter Notebooks?  Develop your own cheat sheet of the quantum computing formulas and Dirac notation to ease assignment typesetting.*\n",
    "\n",
    "To get started with the formulas and matrices that I would need, I would pull the relevant information from the slides. I had actually done my assignment by hand to avoid the typesetting, but for the next assignment I will be able to copy and paste from the following cheat sheet:\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "d04d4117-c811-43d9-988c-2f89927f7812",
   "metadata": {},
   "source": [
    "### Matrix Symbols and Multiplication Properties\n",
    "\n",
    "**1. Definitions**\n",
    "* **Complex Conjugate:** $A^*$ or $\\bar{A}$\n",
    "* **Transpose:** $A^T$\n",
    "* **Inverse:** $A^{-1}$\n",
    "* **Conjugate Transpose (Adjoint):** $A^\\dagger$\n",
    "\n",
    "**2. Multiplication Properties**\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&\\text{Distributive:} & A(B + C) &= AB + AC \\\\\n",
    "&\\text{Associative:} & (AB)C &= A(BC) \\\\\n",
    "&\\text{Non-Commutative:} & AB &\\neq BA \\quad \\text{(Generally)} \\\\\n",
    "\\\\\n",
    "&\\text{Transpose of Product:} & (AB)^T &= B^T A^T \\\\\n",
    "&\\text{Inverse of Product:} & (AB)^{-1} &= B^{-1} A^{-1} \\\\\n",
    "&\\text{Adjoint of Product:} & (AB)^\\dagger &= B^\\dagger A^\\dagger\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**3. Properties of Unitary Matrices ($U$)**\n",
    "A matrix $U$ is unitary if its conjugate transpose is also its inverse.\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&\\text{Defining Condition:} & U^\\dagger U &= UU^\\dagger = I \\\\\n",
    "&\\text{Inverse Relationship:} & U^{-1} &= U^\\dagger \\\\\n",
    "&\\text{Product of Unitaries:} & (UV)^\\dagger &= V^\\dagger U^\\dagger \\quad \\text{(The product } UV \\text{ is also unitary)} \\\\\n",
    "&\\text{Norm Preservation:} & \\langle U\\psi | U\\psi \\rangle &= \\langle \\psi | \\psi \\rangle \\\\\n",
    "&\\text{Determinant:} & |\\det(U)| &= 1\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**4. Properties of Tensor Products ($\\otimes$)**\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&\\text{Distributive:} & A \\otimes (B + C) &= (A \\otimes B) + (A \\otimes C) \\\\\n",
    "&\\text{Scalar Multiplication:} & c(A \\otimes B) &= (cA) \\otimes B = A \\otimes (cB) \\\\\n",
    "&\\text{Mixed-Product Property:} & (A \\otimes B)(C \\otimes D) &= (AC) \\otimes (BD) \\\\\n",
    "\\\\\n",
    "&\\text{Transpose:} & (A \\otimes B)^T &= A^T \\otimes B^T \\\\\n",
    "&\\text{Conjugate:} & (A \\otimes B)^* &= A^* \\otimes B^* \\\\\n",
    "&\\text{Adjoint (Dagger):} & (A \\otimes B)^\\dagger &= A^\\dagger \\otimes B^\\dagger \\\\\n",
    "&\\text{Inverse:} & (A \\otimes B)^{-1} &= A^{-1} \\otimes B^{-1}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**5. Dirac Notation & Computational Basis**\n",
    "The computational basis for a single qubit consists of the states $|0\\rangle$ and $|1\\rangle$.\n",
    "\n",
    "* **Column Vectors (Kets):**\n",
    "$$|0\\rangle = \\begin{pmatrix} 1 \\\\ 0 \\end{pmatrix}, \\quad |1\\rangle = \\begin{pmatrix} 0 \\\\ 1 \\end{pmatrix}$$\n",
    "\n",
    "* **Row Vectors (Bras):**\n",
    "$$\\langle 0| = \\begin{pmatrix} 1 & 0 \\end{pmatrix}, \\quad \\langle 1| = \\begin{pmatrix} 0 & 1 \\end{pmatrix}$$\n",
    "\n",
    "* **Linear Combination of Unit Kets:**\n",
    "A general quantum state $|\\psi\\rangle$ is a superposition:\n",
    "$$|\\psi\\rangle = \\alpha|0\\rangle + \\beta|1\\rangle = \\begin{pmatrix} \\alpha \\\\ \\beta \\end{pmatrix}$$\n",
    "where $\\alpha, \\beta \\in \\mathbb{C}$ and $|\\alpha|^2 + |\\beta|^2 = 1$.\n",
    "\n",
    "**Inner Product and Orthnormality**\n",
    "The inner product of two vectors $|\\phi\\rangle$ and $|\\psi\\rangle$ is written as $\\langle \\phi | \\psi \\rangle$. For the computational basis:\n",
    "$$\\langle i | j \\rangle = \\delta_{ij} \\implies \\langle 0|0\\rangle = 1, \\quad \\langle 0|1\\rangle = 0$$\n",
    "\n",
    "**Measurement and the Born Rule**\n",
    "When measuring a state $|\\psi\\rangle = \\alpha|0\\rangle + \\beta|1\\rangle$ in the computational basis:\n",
    "\n",
    "* **Probability of outcome $|0\\rangle$:** $$P(0) = |\\langle 0|\\psi\\rangle|^2 = |\\alpha|^2$$\n",
    "\n",
    "* **Probability of outcome $|1\\rangle$:** $$P(1) = |\\langle 1|\\psi\\rangle|^2 = |\\beta|^2$$\n",
    "\n",
    "* **General Born Rule:** For a state $|\\psi\\rangle$, the probability of measuring an eigenvalue associated with eigenvector $|x\\rangle$ is:\n",
    "$$P(x) = |\\langle x|\\psi\\rangle|^2$$\n",
    "\n",
    "**6. Quantum Logic Gates (Single-Qubit)**\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&\\mathbf{X \\text{ (NOT):}} & X &= \\begin{pmatrix} 0 & 1 \\\\ 1 & 0 \\end{pmatrix} \\\\\n",
    "&\\mathbf{Z \\text{ (Phase Flip):}} & Z &= \\begin{pmatrix} 1 & 0 \\\\ 0 & -1 \\end{pmatrix} \\\\\n",
    "&\\mathbf{Y \\text{ (Bit \\& Phase Flip):}} & Y &= \\begin{pmatrix} 0 & -i \\\\ i & 0 \\end{pmatrix} \\\\\n",
    "&\\mathbf{H \\text{ (Hadamard):}} & H &= \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 & 1 \\\\ 1 & -1 \\end{pmatrix} \\\\\n",
    "&\\mathbf{S \\text{ (Phase):}} & S &= \\begin{pmatrix} 1 & 0 \\\\ 0 & i \\end{pmatrix} \\\\\n",
    "&\\mathbf{T \\text{ (}\\pi/8\\text{ Gate):}} & T &= \\begin{pmatrix} 1 & 0 \\\\ 0 & e^{i\\pi/4} \\end{pmatrix} \\\\\n",
    "&\\mathbf{P(\\phi) \\text{ (Phase Shift):}} & P(\\phi) &= \\begin{pmatrix} 1 & 0 \\\\ 0 & e^{i\\phi} \\end{pmatrix} \\\\\n",
    "&\\mathbf{R_z(\\theta) \\text{ (Rotation):}} & R_z(\\theta) &= \\begin{pmatrix} e^{-i\\theta/2} & 0 \\\\ 0 & e^{i\\theta/2} \\end{pmatrix} \\\\\n",
    "&\\mathbf{\\sqrt{X} \\text{ (SX Gate):}} & \\sqrt{X} &= \\frac{1}{2}\\begin{pmatrix} 1+i & 1-i \\\\ 1-i & 1+i \\end{pmatrix}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**7. Common Gate Identities**\n",
    "Note: Identities are often given \"up to a global phase\" ($e^{i\\theta}$).\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&\\text{Phase/Rotation Relations:} & S &= P(\\pi/2) \\equiv R_z(\\pi/2) \\\\\n",
    "& & T &= P(\\pi/4) \\equiv R_z(\\pi/4) \\\\\n",
    "&\\text{Hadamard Basis Change:} & H X H &= Z \\\\\n",
    "& & H Z H &= X \\\\\n",
    "&\\text{Square Root Relations:} & (\\sqrt{X})^2 &= X \\\\\n",
    "& & S^2 &= Z \\\\\n",
    "&\\text{Self-Inverse Gates (Hermitian):} & H^2 = X^2 &= Y^2 = Z^2 = I \\\\\n",
    "&\\text{Pauli Multiplication:} & XY &= iZ, \\quad YZ = iX, \\quad ZX = iY\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**8. Tensor Product of Vectors ($n$-qubits)**\n",
    "If we have $n$ individual qubits in states $|\\psi_1\\rangle, |\\psi_2\\rangle, \\dots, |\\psi_n\\rangle$, the combined state $|\\Psi\\rangle$ is the tensor product:\n",
    "$$|\\Psi\\rangle = |\\psi_1\\rangle \\otimes |\\psi_2\\rangle \\otimes \\dots \\otimes |\\psi_n\\rangle$$\n",
    "\n",
    "For the computational basis, the state $|x\\rangle$ where $x$ is a binary string $x_1x_2\\dots x_n$:\n",
    "$$|x_1 x_2 \\dots x_n\\rangle = |x_1\\rangle \\otimes |x_2\\rangle \\otimes \\dots \\otimes |x_n\\rangle$$\n",
    "This results in a column vector of size $2^n$.\n",
    "\n",
    "**9. Tensor Product of Matrices (Kronecker Product)**\n",
    "For two matrices $A$ (size $m \\times n$) and $B$ (size $p \\times q$), the tensor product $A \\otimes B$ is a matrix of size $mp \\times nq$:\n",
    "$$\n",
    "A \\otimes B = \\begin{pmatrix}\n",
    "a_{11}B & a_{12}B & \\dots \\\\\n",
    "a_{21}B & a_{22}B & \\dots \\\\\n",
    "\\vdots & \\vdots & \\ddots\n",
    "\\end{pmatrix}\n",
    "$$\n",
    "\n",
    "**10. 2-Qubit Computational Basis**\n",
    "The basis for a 2-qubit system is formed by the tensor product of two 1-qubit basis vectors. There are $2^2 = 4$ possible states:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "|00\\rangle &= |0\\rangle \\otimes |0\\rangle = \\begin{pmatrix} 1 \\\\ 0 \\end{pmatrix} \\otimes \\begin{pmatrix} 1 \\\\ 0 \\end{pmatrix} = \\begin{pmatrix} 1 \\cdot 1 \\\\ 1 \\cdot 0 \\\\ 0 \\cdot 1 \\\\ 0 \\cdot 0 \\end{pmatrix} = \\begin{pmatrix} 1 \\\\ 0 \\\\ 0 \\\\ 0 \\end{pmatrix} \\\\\n",
    "\\\\\n",
    "|01\\rangle &= |0\\rangle \\otimes |1\\rangle = \\begin{pmatrix} 1 \\\\ 0 \\end{pmatrix} \\otimes \\begin{pmatrix} 0 \\\\ 1 \\end{pmatrix} = \\begin{pmatrix} 1 \\cdot 0 \\\\ 1 \\cdot 1 \\\\ 0 \\cdot 0 \\\\ 0 \\cdot 1 \\end{pmatrix} = \\begin{pmatrix} 0 \\\\ 1 \\\\ 0 \\\\ 0 \\end{pmatrix} \\\\\n",
    "\\\\\n",
    "|10\\rangle &= |1\\rangle \\otimes |0\\rangle = \\begin{pmatrix} 0 \\\\ 1 \\end{pmatrix} \\otimes \\begin{pmatrix} 1 \\\\ 0 \\end{pmatrix} = \\begin{pmatrix} 0 \\cdot 1 \\\\ 0 \\cdot 0 \\\\ 1 \\cdot 1 \\\\ 1 \\cdot 0 \\end{pmatrix} = \\begin{pmatrix} 0 \\\\ 0 \\\\ 1 \\\\ 0 \\end{pmatrix} \\\\\n",
    "\\\\\n",
    "|11\\rangle &= |1\\rangle \\otimes |1\\rangle = \\begin{pmatrix} 0 \\\\ 1 \\end{pmatrix} \\otimes \\begin{pmatrix} 0 \\\\ 1 \\end{pmatrix} = \\begin{pmatrix} 0 \\cdot 0 \\\\ 0 \\cdot 1 \\\\ 1 \\cdot 0 \\\\ 1 \\cdot 1 \\end{pmatrix} = \\begin{pmatrix} 0 \\\\ 0 \\\\ 0 \\\\ 1 \\end{pmatrix}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**General Rule for n-qubits**\n",
    "For an $n$-qubit state $|x\\rangle$ where $x$ is the decimal representation of the binary string:\n",
    "* The vector has a length of $2^n$.\n",
    "* The vector has a $1$ at the $x$-th index (starting from 0) and $0$ elsewhere.\n",
    "\n",
    "**Mixed Tensor Products (Superposition)**\n",
    "If $|\\psi\\rangle = \\alpha|0\\rangle + \\beta|1\\rangle$ and $|\\phi\\rangle = \\gamma|0\\rangle + \\delta|1\\rangle$, then:\n",
    "$$\n",
    "|\\psi\\rangle \\otimes |\\phi\\rangle = \\begin{pmatrix} \\alpha \\\\ \\beta \\end{pmatrix} \\otimes \\begin{pmatrix} \\gamma \\\\ \\delta \\end{pmatrix} = \\begin{pmatrix} \\alpha\\gamma \\\\ \\alpha\\delta \\\\ \\beta\\gamma \\\\ \\beta\\delta \\end{pmatrix}\n",
    "$$\n",
    "\n",
    "**Basis Definitions**\n",
    "\n",
    "* **Hadamard Basis ($X$-basis):**\n",
    "  $$|+\\rangle = H|0\\rangle = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 \\\\ 1 \\end{pmatrix}, \\quad |-\\rangle = H|1\\rangle = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 \\\\ -1 \\end{pmatrix}$$\n",
    "\n",
    "**Tensor Products of Basis Vectors**\n",
    "$$\n",
    "\\begin{aligned}\n",
    " \\\\\n",
    "&\\text{Hadamard ($X$-basis):} & |++\\rangle &= |+\\rangle \\otimes |+\\rangle = \\frac{1}{2}\\begin{pmatrix} 1 \\\\ 1 \\\\ 1 \\\\ 1 \\end{pmatrix} \\\\\n",
    "& & |+-\\rangle &= |+\\rangle \\otimes |-\\rangle = \\frac{1}{2}\\begin{pmatrix} 1 \\\\ -1 \\\\ 1 \\\\ -1 \\end{pmatrix} \\\\\n",
    "& & |--\\rangle &= |-\\rangle \\otimes |-\\rangle = \\frac{1}{2}\\begin{pmatrix} 1 \\\\ -1 \\\\ -1 \\\\ 1 \\end{pmatrix} \\\\\n",
    "& & |-+\\rangle &= |-\\rangle \\otimes |+\\rangle = \\frac{1}{2}\\begin{pmatrix} 1 \\\\ 1 \\\\ -1 \\\\ -1 \\end{pmatrix} \n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**Mixed Basis States**\n",
    "$$|+\\rangle \\otimes |0\\rangle = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 \\\\ 1 \\end{pmatrix} \\otimes \\begin{pmatrix} 1 \\\\ 0 \\end{pmatrix} = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 \\\\ 0 \\\\ 1 \\\\ 0 \\end{pmatrix}$$\n",
    "\n",
    "**Measurement in the Hadamard Basis**\n",
    "To measure a state $|\\psi\\rangle$ in the Hadamard basis using the Born Rule, you project onto the $|+\\rangle$ or $|-\\rangle$ states:\n",
    "$$P(+) = |\\langle +|\\psi\\rangle|^2, \\quad P(-) = |\\langle -|\\psi\\rangle|^2$$\n",
    "\n",
    "**11. 2-Qubit Gate Tensor Products**\n",
    "The following matrices represent the operations when gates are applied in parallel to two separate qubits.\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "&I \\otimes I = \\begin{pmatrix} 1 & 0 & 0 & 0 \\\\ 0 & 1 & 0 & 0 \\\\ 0 & 0 & 1 & 0 \\\\ 0 & 0 & 0 & 1 \\end{pmatrix} \n",
    "&I \\otimes X = \\begin{pmatrix} 0 & 1 & 0 & 0 \\\\ 1 & 0 & 0 & 0 \\\\ 0 & 0 & 0 & 1 \\\\ 0 & 0 & 1 & 0 \\end{pmatrix} \\\\\n",
    "\\\\\n",
    "&X \\otimes I = \\begin{pmatrix} 0 & 0 & 1 & 0 \\\\ 0 & 0 & 0 & 1 \\\\ 1 & 0 & 0 & 0 \\\\ 0 & 1 & 0 & 0 \\end{pmatrix}\n",
    "&X \\otimes X = \\begin{pmatrix} 0 & 0 & 0 & 1 \\\\ 0 & 0 & 1 & 0 \\\\ 0 & 1 & 0 & 0 \\\\ 1 & 0 & 0 & 0 \\end{pmatrix} \\\\\n",
    "\\\\\n",
    "&Z \\otimes Z = \\begin{pmatrix} 1 & 0 & 0 & 0 \\\\ 0 & -1 & 0 & 0 \\\\ 0 & 0 & -1 & 0 \\\\ 0 & 0 & 0 & 1 \\end{pmatrix}\n",
    "&X \\otimes Z = \\begin{pmatrix} 0 & 0 & 1 & 0 \\\\ 0 & 0 & 0 & -1 \\\\ 1 & 0 & 0 & 0 \\\\ 0 & -1 & 0 & 0 \\end{pmatrix} \\\\\n",
    "\\\\\n",
    "&Z \\otimes X = \\begin{pmatrix} 0 & 1 & 0 & 0 \\\\ 1 & 0 & 0 & 0 \\\\ 0 & 0 & 0 & -1 \\\\ 0 & 0 & -1 & 0 \\end{pmatrix}\n",
    "&H \\otimes H = \\frac{1}{2} \\begin{pmatrix} 1 & 1 & 1 & 1 \\\\ 1 & -1 & 1 & -1 \\\\ 1 & 1 & -1 & -1 \\\\ 1 & -1 & -1 & 1 \\end{pmatrix}\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "**12. 3-Qubit Hadamard Tensor Product ($H^{\\otimes 3}$)**\n",
    "Applying a Hadamard gate to three qubits simultaneously creates a uniform superposition of all 8 possible basis states.\n",
    "\n",
    "$$\n",
    "H \\otimes H \\otimes H = \\frac{1}{2\\sqrt{2}} \\begin{pmatrix} \n",
    "1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 \\\\\n",
    "1 & -1 & 1 & -1 & 1 & -1 & 1 & -1 \\\\\n",
    "1 & 1 & -1 & -1 & 1 & 1 & -1 & -1 \\\\\n",
    "1 & -1 & -1 & 1 & 1 & -1 & -1 & 1 \\\\\n",
    "1 & 1 & 1 & 1 & -1 & -1 & -1 & -1 \\\\\n",
    "1 & -1 & 1 & -1 & -1 & 1 & -1 & 1 \\\\\n",
    "1 & 1 & -1 & -1 & -1 & -1 & 1 & 1 \\\\\n",
    "1 & -1 & -1 & 1 & -1 & 1 & 1 & -1 \n",
    "\\end{pmatrix}\n",
    "$$\n",
    "\n",
    "**13. General n-qubit Identity and Parity**\n",
    "* **$I^{\\otimes n}$:** An identity matrix of size $2^n \\times 2^n$.\n",
    "* **$Z^{\\otimes n}$:** A diagonal matrix where the entry is $+1$ if the basis state has an even number of $1$s and $-1$ if it has an odd number of $1$s.\n",
    "\n",
    "**14. Entanglement: The 4 Bell States**\n",
    "\n",
    "The Bell states (or EPR pairs) are the four maximally entangled two-qubit states. They form an orthonormal basis for the 4-dimensional Hilbert space of two qubits.\n",
    "\n",
    "**Generating Bell States via Circuit**\n",
    "The general recipe to create a Bell state from a basis state $|xy\\rangle$ is:\n",
    "$$\\text{Bell}(x,y) = \\text{CNOT}_{0 \\to 1} (H \\otimes I) |xy\\rangle$$\n",
    "\n",
    "**Matrix of the CNOT Gate**\n",
    "The CNOT gate flips the target (second) qubit if the control (first) qubit is $|1\\rangle$:\n",
    "$$\\text{CNOT} = \\begin{pmatrix} 1 & 0 & 0 & 0 \\\\ 0 & 1 & 0 & 0 \\\\ 0 & 0 & 0 & 1 \\\\ 0 & 0 & 1 & 0 \\end{pmatrix}$$\n",
    "\n",
    "**The Four Bell States**\n",
    "\n",
    "| Initial State | Bell State Notation | Vector / Formula |\n",
    "| :--- | :--- | :--- |\n",
    "| $|00\\rangle$ | $|\\Phi^+\\rangle$ | $\\frac{1}{\\sqrt{2}}(|00\\rangle + |11\\rangle) = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 \\\\ 0 \\\\ 0 \\\\ 1 \\end{pmatrix}$ |\n",
    "| $|10\\rangle$ | $|\\Phi^-\\rangle$ | $\\frac{1}{\\sqrt{2}}(|00\\rangle - |11\\rangle) = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 1 \\\\ 0 \\\\ 0 \\\\ -1 \\end{pmatrix}$ |\n",
    "| $|01\\rangle$ | $|\\Psi^+\\rangle$ | $\\frac{1}{\\sqrt{2}}(|01\\rangle + |10\\rangle) = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 0 \\\\ 1 \\\\ 1 \\\\ 0 \\end{pmatrix}$ |\n",
    "| $|11\\rangle$ | $|\\Psi^-\\rangle$ | $\\frac{1}{\\sqrt{2}}(|01\\rangle - |10\\rangle) = \\frac{1}{\\sqrt{2}}\\begin{pmatrix} 0 \\\\ 1 \\\\ -1 \\\\ 0 \\end{pmatrix}$ |\n",
    "\n",
    "\n",
    "*Of most of which was generated by Gemini [3]"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "It is also possible to visualize the equations in LaTeX using the draw method of Statevector object in Qiskit. For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e7987d87-7bfa-4585-a5b4-e60c2b12afad",
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    {
     "data": {
      "text/latex": [
       "$$\\frac{\\sqrt{2}}{2} |00\\rangle+\\frac{\\sqrt{2}}{2} |10\\rangle$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.quantum_info import Statevector\n",
    "from qiskit import QuantumCircuit\n",
    "\n",
    "qc = QuantumCircuit(2)\n",
    "qc.x(1)\n",
    "qc.h(1)\n",
    "qc.z(1)\n",
    "psi = Statevector(qc)\n",
    "psi.draw(\"latex\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e61f935-ac3e-4d14-ae79-3382eccc014a",
   "metadata": {},
   "source": [
    "### 3. *How did you get started running your first quantum circuits using IBM Qiskit and Xanadu Pennylane Jupyter Notebook platforms?*\n",
    "\n",
    "I first started checking out Qiskit in the labs and seeing how it generates the circuits in the IBM Quantum Composer. As for PennyLane, one of the other students said that the PennyLane Codebook was helpful in learning PennyLane and comprehension off the material. So, I have since completed the Introduction segment, but I plan to continue to follow along [4].\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92c1ac60-0d1f-4c7f-9e5b-f5fc99223d1e",
   "metadata": {},
   "source": [
    "### 4. *How would you motivate other students to join the journey into quantum computing given the motivational materials presented in class and found in the references? Your answers to this question will likely evolve during this course. Revisit regularly this quesion.*\n",
    "\n",
    "Well, I have already suggested to my friend, who is interested in the material but couldn't join the course, that he should check out the content on PennyLane and go through the CodeBook. There are also the tutorials available on the IBM Qiskit website [5].\n",
    "\n",
    "Also, suggesting the Bloch Sphere is sometimes a good tool for visualizing phase changes and the relative locations of the basis states; however, it is not an accurate tool, as the basis kets are intended to orthogonal, but instead are viewed as opposing in the Bloch Sphere.\n",
    "\n",
    "The short article about Quantum and Computational Chemistry was insightful and approachable [6]. I would recommend that.\n",
    "\n",
    "From my understanding, Quantum Computing is inevitable and will become a common way for sophisticated problem in the not-too-distant future. Therefore it would be advised that everyone in Software Engineering and Computer Science start to understand at least the basics of Quantum Computing. Take this article \"Quantum Computing Moves from Theoretical to Inevitable\" that explains the upcoming markets that will benefit the most from Quantum Computing [7]."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d860ce9-b5b7-49ae-8a6f-85bc9388f1e7",
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   "source": [
    "### 5. *Which algorithm is your favourite quantum algorithm so far?*\n",
    "\n",
    "I think that all the algorithms, so far, are interesting. The most difficult, yet intriguing, part is trying to grasp the significance of how gates modify the quantum state and how the math verifies the expected results in the end.\n",
    "\n",
    "From a curiosity perspective, I would say that the Teleportation algorithm is the most important because it proves the ability to move quatum states around, and it also kills the misconception that many people have, that Quantum states can somehow transfer information faster than the speed of light.\n",
    "\n",
    "I have included a snippiet of code that simulates transportation. It was completed with the aid of Gemini [3]."
   ]
  },
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   "execution_count": 3,
   "id": "6bad5897-0cc5-4645-891b-28b380ae85dc",
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.6504817 0.3495183]\n"
     ]
    }
   ],
   "source": [
    "import pennylane as qml\n",
    "\n",
    "# We need 3 wires for teleportation\n",
    "dev = qml.device(\"default.qubit\", wires=3)\n",
    "\n",
    "@qml.qnode(dev)\n",
    "def teleportation_circuit():\n",
    "    \n",
    "    # 1. PREPARE THE STATE TO TELEPORT (on wire 0)\n",
    "    # Let's just create a random state using a rotation\n",
    "    qml.RX(1.23, wires=0)\n",
    "    qml.RY(0.45, wires=0)\n",
    "\n",
    "    # 2. CREATE ENTANGLEMENT (between Alice/wire 1 and Bob/wire 2)\n",
    "    qml.Hadamard(wires=1)\n",
    "    qml.CNOT(wires=[1, 2])\n",
    "\n",
    "    # 3. ALICE'S OPERATIONS (Bell State Measurement)\n",
    "    qml.CNOT(wires=[0, 1])\n",
    "    qml.Hadamard(wires=0)\n",
    "\n",
    "    # 4. MEASURE AND CONDITIONALLY APPLY CORRECTIONS\n",
    "    # In PennyLane, we use m_0 and m_1 to represent Alice's measurement results\n",
    "    m_0 = qml.measure(0)\n",
    "    m_1 = qml.measure(1)\n",
    "\n",
    "    # Bob applies corrections based on Alice's classical bits\n",
    "    # If m_1 is 1, apply PauliX; if m_0 is 1, apply PauliZ\n",
    "    qml.cond(m_1, qml.PauliX)(wires=2)\n",
    "    qml.cond(m_0, qml.PauliZ)(wires=2)\n",
    "\n",
    "    # Return the probabilites in the state\n",
    "    return qml.probs(wires=2)\n",
    "\n",
    "# Execute\n",
    "result = teleportation_circuit()\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec1eadc9-940c-4bd4-9378-68df0d47a7be",
   "metadata": {},
   "source": [
    "### 6. *What was the most challenging part in understanding Grover's algorithm?*\n",
    "\n",
    "I don't think we have covered Grover's algorithm yet in class, but I looked it up and this PennyLane article covers it pretty well [8].\n",
    "\n",
    "I suppose one of the most challenging parts of using Grover's algorithm or any other Oracle based algorithm is being able to imagine and then describe how the oracle needed for the specific problem."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87305c42-dc50-4f93-b60d-90f1d54fe3b5",
   "metadata": {},
   "source": [
    "### 7. *Required: What are your personal insights, aha moments, and epiphanies you experienced in the first part of this course?*\n",
    "\n",
    "Some things that ocurred to me were:\n",
    "\n",
    "- The matrix math becomes unwieldy very quickly, and that Dirac notation is much preferred.\n",
    "\n",
    "- Quantum computing in inevitable\n",
    "   \n",
    "- The algorithms needed for solving a modern problem must be huge (many quibits, many gates) with large portions being progromatically generated or transpiled.\n",
    "   \n",
    "- Modern Quantum Computing is the culmination of many very clever people.\n",
    "\n",
    "- Quantum computing will not likely be of much use alone but will be integrated wtih standard computing; something that can be called upon when the certain cases arise (such as with simulation or searching)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18aa8bb3-71fb-4ea1-a3a1-ed91bc217444",
   "metadata": {},
   "source": [
    "### 8. *Required: How did you experience Generative AI as a learning tool for this course?*\n",
    "\n",
    "Gen AI, especially Google Gemini, has been extremely helpful in this course. I would say that Gen AI is helpful in a many scenarios, but academically, it has been essential for easing the initial learning curve involved with such things as Dirac notation and explaining phase rotation. The optimist in me says that AI is a super useful tool that has come along at a time when it is most in need where we can all benefit from the culmination of our efforts. The pessimist in me says that all the most useful AI models will be behind paywalls soon enough and we may find ourselves reliant on them, especially if we don't actually understand the information that it gives back to us. So, ultimately, GenAI is amazing for boiler-plate work, but for knowledge work (exploratory solutions and the like), the results should still be critisized and the technicalites understood."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78f25e12-c604-435c-ad49-44c3f2da6b73",
   "metadata": {},
   "source": [
    "### 9. *Record your Generative AI prompts and contexts for Basic Quantum Terms, Complex Linear Algebra, Quantum Algorithms, Python, Qiskit, and PennyLane inquiries for easy recall. Use the same line item or project in your genAI engine (e.g., ChatGPT, Google Gemini, Perplexity, or others) to build up the \"quantum context\".*\n",
    "\n",
    "\"Hey can you explain superposition, entanglement, and the no cloning theorem? keep it simple and just tell me why each one actually matters for making a quantum computer faster than a regular one.\"\n",
    "\n",
    "\"Quantum states use a lot of linear algebra. Can you explain how bra ket notation works with unitary matrices and hermitian operators. Also, why does a unitary matrix have to keep the total probability at 1 when it acts on a qubit state?\"\n",
    "\n",
    "\"Can you explain to me how Grover's algorithm works? I would like the Dirac and Matrix representation.\"\n",
    "\n",
    "\"I need to make a bell state in qiskit. Can you give me the python code to set up 2 qubits, apply them with a hadamard and a cnot, and then run it to see the results. keep the code simple and just use comments to say which qubit is which.\"\n",
    "\n",
    "\"I want to try a teleportation circuit in pennylane. Can you show me a template for that? Please explain the different steps.\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74243a0b-b54c-430a-a3f2-36e90ca6558e",
   "metadata": {},
   "source": [
    "## **Bibliography**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f9523a0-cb7e-4ffa-80c9-a369289d8dd2",
   "metadata": {},
   "source": [
    "[1] GeeksforGeeks, “Matrix Operations,” GeeksforGeeks, Nov. 23, 2020. https://www.geeksforgeeks.org/maths/matrix-operations/  \n",
    "[2] “Matrix Calculator - Reshish,” matrix.reshish.com. https://matrix.reshish.com/  \n",
    "[3] Google, “Gemini,” gemini.google.com, 2025. https://gemini.google.com/app  \n",
    "[4] “Map | PennyLane Codebook,” Pennylane.ai, 2025. https://pennylane.ai/codebook/learning-paths  \n",
    "[5] “IBM Quantum Computing | Qiskit,” Ibm.com, 2026. https://www.ibm.com/quantum/qiskit#tutorials (accessed Feb. 12, 2026).  \n",
    "[6] “Fertilizer and other quantum computer chemistry,” Quantum Flagship. https://qt.eu/applications/fertilizer-and-other-quantum-computer-chemistry  \n",
    "[7] G. Dunn, V. Sinha, Laurent-Pierre Baculard, S. Ali, and W. Chang, “Quantum Computing Moves from Theoretical to Inevitable,” Bain, Sep. 23, 2025. https://www.bain.com/insights/quantum-computing-moves-from-theoretical-to-inevitable-technology-report-2025/  \n",
    "[8] L. Botelho, “Grover’s Algorithm,” PennyLane Demos, Jul. 03, 2023. https://pennylane.ai/qml/demos/tutorial_grovers_algorithm  "
   ]
  },
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