diff --git a/src/notebooks/qutrit_gates/04_adiabatic.ipynb b/src/notebooks/qutrit_gates/04_adiabatic.ipynb new file mode 100644 index 0000000..adc500e --- /dev/null +++ b/src/notebooks/qutrit_gates/04_adiabatic.ipynb @@ -0,0 +1,215 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "# Import Statements\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import basis, Qobj, mesolve, expect\n", + "from quantum_logical.operators import selective_destroy" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "# Adjustable Parameters\n", + "coeff_args = {\"k_a\": 5, \"t0_a\": 7, \"k_b\": 5, \"t0_b\": 5}\n", + "tlist = np.linspace(0, 10, 100)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "# Function Definitions\n", + "def logistic_function(t, k, t0):\n", + " return 1 / (1 + np.exp(-k * (t - t0)))\n", + "\n", + "\n", + "def Ha_coeff(t, args):\n", + " return (1 - logistic_function(t, args[\"k_a\"], args[\"t0_a\"])) * np.pi / 2\n", + "\n", + "\n", + "def Hb_coeff(t, args):\n", + " return logistic_function(t, args[\"k_b\"], args[\"t0_b\"]) * np.pi / 2\n", + "\n", + "\n", + "def Ha_coeff_non_adiabatic(t, args):\n", + " return 1 * np.pi / 2 if t < args.get(\"t_switch\", 5) else 0\n", + "\n", + "\n", + "def Hb_coeff_non_adiabatic(t, args):\n", + " return 1 * np.pi / 2 if t >= args.get(\"t_switch\", 5) else 0\n", + "\n", + "\n", + "def time_dependent_H(t, adiabatic=True):\n", + " if adiabatic:\n", + " return Ha * Ha_coeff(t, coeff_args) + Hb * Hb_coeff(t, coeff_args)\n", + " else:\n", + " return Ha * Ha_coeff_non_adiabatic(t, coeff_args) + Hb * Hb_coeff_non_adiabatic(\n", + " t, coeff_args\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [], + "source": [ + "# Hamiltonian Initialization\n", + "Ha = selective_destroy(3, 1, 0) + selective_destroy(3, 1, 0).dag()\n", + "Hb = selective_destroy(3, 2, 1) + selective_destroy(3, 2, 1).dag()\n", + "H = [[Ha, Ha_coeff], [Hb, Hb_coeff]]\n", + "rho0 = basis(3, 0) + basis(3, 2)\n", + "rho0 = rho0 / rho0.norm()\n", + "rho0 = rho0 * rho0.dag()" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "# Plotting Functions\n", + "def plot_drive_amplitudes():\n", + " plt.figure(figsize=(8, 4))\n", + " plt.plot(tlist, [Ha_coeff(t, coeff_args) for t in tlist], label=\"Ha Amplitude\")\n", + " plt.plot(tlist, [Hb_coeff(t, coeff_args) for t in tlist], label=\"Hb Amplitude\")\n", + " plt.xlabel(\"Time\")\n", + " plt.ylabel(\"Drive Amplitude\")\n", + " plt.title(\"Drive Amplitudes Over Time\")\n", + " plt.legend()\n", + " plt.show()\n", + "\n", + "\n", + "def plot_eigenvalues(eigenvalues_adiabatic, eigenvalues_non_adiabatic):\n", + " plt.figure(figsize=(8, 4))\n", + " for i in range(eigenvalues_adiabatic.shape[1]):\n", + " plt.plot(\n", + " tlist, eigenvalues_adiabatic[:, i], label=f\"Adiabatic Eigenvalue {i+1}\"\n", + " )\n", + " plt.plot(\n", + " tlist,\n", + " eigenvalues_non_adiabatic[:, i],\n", + " \"--\",\n", + " label=f\"Non-Adiabatic Eigenvalue {i+1}\",\n", + " )\n", + " plt.xlabel(\"Time\")\n", + " plt.ylabel(\"Eigenvalues\")\n", + " plt.title(\"Eigenvalues of the Hamiltonian: Adiabatic vs Non-Adiabatic\")\n", + " plt.legend(ncols=2, bbox_to_anchor=(1, 1))\n", + " plt.show()\n", + "\n", + "\n", + "def plot_expected_occupancy(output):\n", + " e_state_projector = basis(3, 1) * basis(3, 1).dag()\n", + " expected_occupancies = [expect(e_state_projector, state) for state in output.states]\n", + " plt.plot(output.times, expected_occupancies)\n", + " plt.xlabel(\"Time\")\n", + " plt.ylabel(\"Expected Occupancy of |e>\")\n", + " plt.title(\"Expected Occupancy of |e> State Over Time\")\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "# Compute Eigenvalues for Both Scenarios\n", + "eigenvalues_adiabatic = np.array(\n", + " [Qobj(time_dependent_H(t)).eigenenergies() for t in tlist]\n", + ")\n", + "eigenvalues_non_adiabatic = np.array(\n", + " [Qobj(time_dependent_H(t, adiabatic=False)).eigenenergies() for t in tlist]\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [], + "source": [ + "# Solving the time-dependent Schr\u00f6dinger equation\n", + "output = mesolve(H, rho0, tlist, args=coeff_args)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plotting\n", + "plot_drive_amplitudes()\n", + "plot_eigenvalues(eigenvalues_adiabatic, eigenvalues_non_adiabatic)\n", + "plot_expected_occupancy(output)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.9.17" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}