From 96c5b2b2ed912cce3b77b3888a6decbd128342f3 Mon Sep 17 00:00:00 2001 From: AriaOvermilk <120845818+AriaOvermilk@users.noreply.github.com> Date: Mon, 28 Aug 2023 21:26:53 -0700 Subject: [PATCH] Add files via upload Added Jupyter Notebook for Quantum Fractal Interference "Art" with Animations --- creative/QuantaKaleidoscopeArt-2.ipynb | 42583 +++++++++++++++++++++++ 1 file changed, 42583 insertions(+) create mode 100644 creative/QuantaKaleidoscopeArt-2.ipynb diff --git a/creative/QuantaKaleidoscopeArt-2.ipynb b/creative/QuantaKaleidoscopeArt-2.ipynb new file mode 100644 index 0000000..f3bc88b --- /dev/null +++ b/creative/QuantaKaleidoscopeArt-2.ipynb @@ -0,0 +1,42583 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "c7eb7dca-1cfb-43a4-91ac-c06951969b3e", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "#Import libraries\n", + "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister, execute, Aer\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import random\n", + "from matplotlib.animation import FuncAnimation\n", + "import matplotlib.colors as mcolors" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "45a3cd16-0c98-41bf-8375-4dd12f5dba72", + "metadata": { + "collapsed": true, + "jupyter": { + "outputs_hidden": true + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['aliceblue', 'antiquewhite', 'aqua', 'aquamarine', 'azure', 'beige', 'bisque', 'black', 'blanchedalmond', 'blue', 'blueviolet', 'brown', 'burlywood', 'cadetblue', 'chartreuse', 'chocolate', 'coral', 'cornflowerblue', 'cornsilk', 'crimson', 'cyan', 'darkblue', 'darkcyan', 'darkgoldenrod', 'darkgray', 'darkgreen', 'darkgrey', 'darkkhaki', 'darkmagenta', 'darkolivegreen', 'darkorange', 'darkorchid', 'darkred', 'darksalmon', 'darkseagreen', 'darkslateblue', 'darkslategray', 'darkslategrey', 'darkturquoise', 'darkviolet', 'deeppink', 'deepskyblue', 'dimgray', 'dimgrey', 'dodgerblue', 'firebrick', 'floralwhite', 'forestgreen', 'fuchsia', 'gainsboro', 'ghostwhite', 'gold', 'goldenrod', 'gray', 'green', 'greenyellow', 'grey', 'honeydew', 'hotpink', 'indianred', 'indigo', 'ivory', 'khaki', 'lavender', 'lavenderblush', 'lawngreen', 'lemonchiffon', 'lightblue', 'lightcoral', 'lightcyan', 'lightgoldenrodyellow', 'lightgray', 'lightgreen', 'lightgrey', 'lightpink', 'lightsalmon', 'lightseagreen', 'lightskyblue', 'lightslategray', 'lightslategrey', 'lightsteelblue', 'lightyellow', 'lime', 'limegreen', 'linen', 'magenta', 'maroon', 'mediumaquamarine', 'mediumblue', 'mediumorchid', 'mediumpurple', 'mediumseagreen', 'mediumslateblue', 'mediumspringgreen', 'mediumturquoise', 'mediumvioletred', 'midnightblue', 'mintcream', 'mistyrose', 'moccasin', 'navajowhite', 'navy', 'oldlace', 'olive', 'olivedrab', 'orange', 'orangered', 'orchid', 'palegoldenrod', 'palegreen', 'paleturquoise', 'palevioletred', 'papayawhip', 'peachpuff', 'peru', 'pink', 'plum', 'powderblue', 'purple', 'rebeccapurple', 'red', 'rosybrown', 'royalblue', 'saddlebrown', 'salmon', 'sandybrown', 'seagreen', 'seashell', 'sienna', 'silver', 'skyblue', 'slateblue', 'slategray', 'slategrey', 'snow', 'springgreen', 'steelblue', 'tan', 'teal', 'thistle', 'tomato', 'turquoise', 'violet', 'wheat', 'white', 'whitesmoke', 'yellow', 'yellowgreen']\n" + ] + } + ], + "source": [ + "# Get a list of all named colors supported by matplotlib - if you want to change it up!\n", + "all_colors = list(mcolors.CSS4_COLORS.keys())\n", + "print(all_colors)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "58e44a66-5297-46a1-a6dd-65f75c82f5e1", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "black\n" + ] + }, + { + "data": { + "image/png": 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" + ], + "text/plain": [ + "/home/jovyan/AO_Kaleidoscope.gif" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#ITS ALSO PRETTY COOL TO ADD SOME ANIMATIONS! \n", + "\n", + "#For Custom Controlled Fractal Gate\n", + "def fractal_gate(qc, control, target, depth):\n", + " \n", + " qc.h(target)\n", + " qc.x(target)\n", + " '''\n", + " qc.h(target)\n", + " qc.x(target)\n", + " qc.reset(1)\n", + " '''\n", + " \n", + "#Function 2 Create Quantum \"Kaleidoscope\" Circuit\n", + "def create_kaleidoscope(num_reflections, fractal_depth):\n", + " qr = QuantumRegister(num_reflections, name='q')\n", + " cr = ClassicalRegister(num_reflections, name='c')\n", + " kaleidoscope_circuit = QuantumCircuit(qr, cr)\n", + " \n", + " for i in range(num_reflections):\n", + " fractal_gate(kaleidoscope_circuit, qr[i], qr[(i + 1) % num_reflections], fractal_depth)\n", + " for j in range(i + 1, num_reflections):\n", + " kaleidoscope_circuit.cx(qr[i], qr[j])\n", + " \n", + " kaleidoscope_circuit.measure(qr, cr)\n", + " \n", + " return kaleidoscope_circuit\n", + "\n", + "\n", + "#Function 2 Plot Quantum \"Kaleidoscope\" Pattern\n", + "def plot_kaleidoscope_pattern(pattern_counts, num_reflections):\n", + " \n", + " #plot function\n", + " pattern_labels = [format(i, f'0{num_reflections}b') for i in range(2**num_reflections)]\n", + " pattern_values = [pattern_counts.get(label, 0) for label in pattern_labels]\n", + " \n", + " theta = 2 * np.pi / len(pattern_labels)\n", + " angles = [i * theta for i in range(len(pattern_labels))]\n", + " \n", + " ax = plt.subplot(111, projection='polar')\n", + " bars = ax.bar(angles, pattern_values, width=theta, bottom=0.0)\n", + " \n", + " ax.grid(False)\n", + " ax.set_xticklabels([])\n", + " ax.set_yticklabels([])\n", + " ax.spines['polar'].set_visible(False)\n", + " \n", + "\n", + " \n", + "#Function 2 update plot for each frame of Animation\n", + "def update(frame):\n", + " ax.cla() #Clear the previous frame\n", + " rotated_angles = [(angle + frame * rotation_speed) % (2 * np.pi) for angle in angles]\n", + " bars = ax.bar(rotated_angles, pattern_values, width=theta, bottom=0.0, color=color)\n", + " ax.grid(False)\n", + " ax.set_xticklabels([])\n", + " ax.set_yticklabels([])\n", + " ax.spines['polar'].set_visible(False)\n", + "\n", + "#Define the number of reflections and fractal depth\n", + "reflections = [7, 8, 8]\n", + "num_reflections = random.choice(reflections)\n", + "fractal_depth = 3\n", + "\n", + "#Change the background color -For obvious reasons... important with black/white!\n", + "styles = ['default', 'dark_background']\n", + "style = random.choice(styles)\n", + "plt.style.use(style)\n", + "\n", + "#Create Quantum \"Kaleidoscope\" Circuit w/fractal patterns\n", + "kaleidoscope_circuit = create_kaleidoscope(num_reflections, fractal_depth)\n", + "\n", + "#Execute Quantum Circuit & get Measurement outcomes\n", + "backend = Aer.get_backend('qasm_simulator')\n", + "pick = random.choice([2000, 1500, 2500])\n", + "job = execute(kaleidoscope_circuit, backend, shots=pick)\n", + "result = job.result()\n", + "pattern_counts = result.get_counts(kaleidoscope_circuit)\n", + "\n", + "#Plot Quantum \"Kaleidoscope\" Pattern\n", + "pattern_labels = [format(i, f'0{num_reflections}b') for i in range(2 ** num_reflections)]\n", + "pattern_values = [pattern_counts.get(label, 0) for label in pattern_labels]\n", + "theta = 2 * np.pi / len(pattern_labels)\n", + "angles = [i * theta for i in range(len(pattern_labels))]\n", + "\n", + "#Random Color for bars\n", + "\n", + "#Use a list of all named colors supported by matplotlib\n", + "#all_colors = list(mcolors.CSS4_COLORS.keys())\n", + "#Black might be my favorite...\n", + "#colors = ['black']\n", + "colors = ['purple', 'blue', 'orange', 'green', 'black', 'blueviolet', 'brown', 'crimson', 'darkblue', 'darkgoldenrod', 'darkgreen', 'darkolivegreen', 'steelblue', 'crimson']\n", + "color = random.choice(colors)\n", + " \n", + "\n", + "#Create Polar Plot\n", + "fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})\n", + "ax.set_rticks([]) # Remove radial tick labels\n", + "\n", + "\n", + "#Define Rotation Speed for Animation\n", + "frames_per_second = 15\n", + "animation_duration = 3 # seconds\n", + "rotation_speed = 2 * np.pi / (45)\n", + "\n", + "#Create Animation\n", + "animation = FuncAnimation(fig, update, frames=frames_per_second * animation_duration, interval=1000 / frames_per_second)\n", + "\n", + "#Display Animation inline in Jupyter notebook\n", + "from IPython.display import HTML, display\n", + "\n", + "def display_animation(anim):\n", + " plt.close(anim._fig)\n", + " return HTML(anim.to_jshtml())\n", + "\n", + "display(display_animation(animation))\n", + "\n", + "\n", + "animation_file_path = 'AO_Kaleidoscope.gif'\n", + "animation.save(animation_file_path, writer='pillow')\n", + "\n", + "print(f\"Animation saved as '{animation_file_path}'\")\n", + "\n", + "#Save it if you Want!\n", + "from IPython.display import FileLink\n", + "\n", + "FileLink(animation_file_path)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ab9adecc-08ad-4d91-a31b-ac8f1fe439ac", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.8" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "state": {}, + "version_major": 2, + "version_minor": 0 + } + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}