{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Real Randomness with Noise and Chaos\n", "\n", "by Kevin Fei
\n", "working with Professor Rajarshi Roy, Professor Tom Murphy, and Joe Hart\n", "\n", "Random numbers are instrumental to modern computing. They are used by scientists for running simulations and by cryptographers for security. Previously, we relied on \"pseudo-random\" number generators, where random numbers are produced from a single number, the seed. Though to most observers the numbers would be unpredictable, if you were to obtain the seed you would know all the numbers produced by the generator. If this system had been encrypting data for a company, all security would be compromised.\n", "\n", "To avoid these pitfalls, we are turning to truly random physical processes to generate our numbers. These truly unpredictable processes rely on two sources of randomness: noise and chaos. Though both produce similar results, they are fundamentally different in nature. To harness them for truly random number generation, it will be critical to first understand the complex interplay between chaos and noise." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "
" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "\n", "HTML('''\n", "
''')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is noise?\n", "\n", "**Noise** refers to the random variation of values. Usually unwanted, noise causes a measurement to fluctuate over time. For example, if we're measuring the intensity of a laser, our measurement may vary over time from 900 to 881 to 913 mW. This is noise. There are many types of noise. Some of it is due to variations in the environment, like static on TV or background noise in a recording, while others are due to imperfections in the equipment like a defect in the laser.\n", "\n", "One common method of reducing noise is to take more data. As we take more and more measurements, the final value we get will be more accurate. We are basically increasing the strength of the measurement, while the noise strength remains constant. This makes sense as flipping a coin twice cannot determine its fairness, while flipping it a hundred times will give you a better idea.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Noise in lasers\n", "\n", "A laser works by stimulated emission, in which excited atoms release photons when other photons collide with the atoms. The first photon stimulates the second one and with this, the light intensity gets amplified. In fact, laser itself stands for Light Amplification by Stimulated Emission of Radiation. When all the light is provided by stimulated emission, all the light is synchronized and there is no noise. However, in addition to stimulated emission, lasers also randomly produce light through spontaneous emission. There is no predicting this process and thus the light intensity of the laser is noisy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is chaos?\n", "\n", "**Chaos** happens when starting the system in a slightly different way will lead to drastially different outcomes. One example of a chaotic system is the weather. In the 1950s, mathematician Edward Lorenz attempted to model local weather based off computer simulations. He found that a tiny change in the current temperature or humidity, even dropping a decimal point off a number, could change the forecast from a sunny day to a thunderstorm. This led him to formulate the butterfly effect, noting that if a butterfly flaps their wings in Wales, it could cause a tornado in Texas. Other examples include turbulence in fluids and the double pendulum.\n", "\n", "\n", "\n", "The following graph depicts the Lorenz system, a model of a point moving through space. The graph shows the path of the particle through space. The equations that control the motion are chaotic and you can see many of the characteristic features in the 3d diagram. This is called an **attractor diagram** as the path of the particle seems to be attracted to a strange butterfly shape. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nJDPXTjEphTDIJY6lHMkl5Tzde1Ua9liLRFeD/U4bcN8G4jSVfG6lJNt5ky4D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\nPPjXv0Rcd52CCy5IH9/jtEsrHYkxLun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PPtMxZ46AxYs9GDVKxeWXqzjooEjSmiNffsnh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "runsim = True\n", "\n", "points = [[],[],[]]\n", "pointsp = [[],[],[]]\n", "\n", "x, y, z = 0, 1, 0\n", "xp, yp, zp = 0, 1.000001, 0\n", "dt = 0.01\n", "\n", "def getlorenzevol(x, y, z):\n", " dx = (10 * (y - x)) * dt\n", " dy = (28 * x - y - x * z) * dt\n", " dz = (x * y - 8/3 * z) * dt\n", " \n", " x += dx\n", " y += dy\n", " z += dz \n", " \n", " return x, y, z\n", "\n", "t = 0\n", "while runsim and len(points[0]) < 7000:\n", " x,y,z = getlorenzevol(x,y,z)\n", " xp, yp, zp = getlorenzevol(xp,yp,zp)\n", " \n", " points[0].append(x)\n", " points[1].append(y)\n", " points[2].append(z)\n", " pointsp[0].append(xp)\n", " pointsp[1].append(yp)\n", " pointsp[2].append(zp)\n", " t += dt\n", "\n", "fig = plt.figure(figsize = (10,10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\")\n", "ax.set_zlabel(\"z\")\n", "plt.plot(points[0],points[1],points[2])\n", "plt.show(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As shown in the following diagram, it is apparent how quickly three points that start almost on top of each other very quickly move apart. Though the difference in initial conditions is small, their positions change in remarkably different ways. At 2 seconds, they are still close together but fly apart by 3 seconds. As time passes, the particles' movement does not show any evidence of their past similarity and it is impossible to predict where they will be." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
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\n", "\"\"\"\n", "HTML(JS_FUNCTION + WIDGETS)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The difference between noise and chaos\n", "\n", "The fundamental difference between noise and chaos is that noise is **stochastic** while chaos is **deterministic**.\n", "\n", "**Stochastic** means the changes in a system depend on a probability. For example, suppose you were standing on a line and flipped a coin every second. If it was heads you moved right and if it was tails you moved left. You can't predict the future because there's only a chance that you go one way or another. This property usually arises from quantum mechanics, where things are not for certain, but very likely.\n", "\n", "**Deterministic** means that the system will change the same way from the same starting conditions every time. In this way one could predict the chaotic behavior if one were to know all the decimal points on a measurement. However, we cannot have perfect information (also restricted by quantum mechanics), so the tiny immeasurable differences will be amplified until the system is effectively unpredictable." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Our Experiment - Chaotic optoelectronic loop\n", "\n", "We will investigate noise and chaos in a system that contains both of these, the chaotic optoelectronic loop.\n", "\n", "\n", "\n", "Let's go through the different components of the system.\n", "* Laser - This is the driving force of the system. It shoots out a beam of light at an intensity we can control with an attenuator. This means we can change the number of photons coming out of the laser.\n", "* Modulator - The light from the laser shines through the modulator which \"modulates\" or changes the intensity of light passing through it. We can change the amount it modulates by applying a voltage to it.\n", "* Photon Counter - This instrument detects the number of photons that arrive and sends a signal to the FPGA.\n", "* FPGA - A circuit board that contains two main important components.\n", " * Time Delay - Waits a certain amount of time to pass the pulses from the photon counter to the filter.\n", " * Filter - Applies a certain voltage to the modulator based off the arrival of photons.\n", "\n", "In this circuit, we analyze how the voltage changes with time. We observe noise in this system with the photon counter. With more photons, we are effectively taking more measurements and lowering the amount of noise we observe. As illustrated above, the number of photons captured in a certain time interval can change randomly.\n", "Our experiment features several notable features: the *self-feedback* in the overall loop, the *nonlinearity* in the modulator, and the *time delay* in the FPGA. With our experiment configured correctly, these ingredients create chaos. This can be seen in the unpredictable voltage changing depicted below.\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Birth of a chaotic attractor\n", "\n", "For a long time, scientists could not control the amount of noise in a system. It is difficult to adjust the amount of uncertainty inside a system. By adjusting the photon rate, we are in a unique position to adjust the noise level of the experiment. You can adjust the photon rate yourself with the slider! See how the fog clears until a beautiful baby attractor appears with its splendid detail.\n", "\n", "What is being graphed right here is a horizontal slice of the 3D attractor diagram (like the Lorenz diagram above). Voltage is being graphed against itself a certain time ago. With a low photon rate, an occasional spontaneous emission matters much more, making the system more noisy. This causes the diagarm to be blurred. As we turn the photon rate up, we are lowering the noise and thus we begin to see the features of the system more clearly. If we have infinite photons, we reach the **deterministic limit**, a system with no noise and pure chaos. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
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\n", "\"\"\"\n", "HTML(JS_FUNCTION + NOISECHAOS)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Conclusion\n", "\n", "Armed with the ability to vary the noise strength in our system, we can now further investigate the interplay between noise and chaos. Specifically we will focus on *intrinsic noise*, noise that is inside the sytem and can be magnified by chaos as opposed to the *external noise* like measurement noise which does not affect the evolution of the system. Many have claimed that chaos, in amplifying small differences, magnifies the randomness produced by noise. Scientists have used this claim to justify the ever higher rates of random number generation they are achieving. However, nobody has ever tested this before. So far only simulations have been done as usually there is no knob to experimentally adjust the noise. This summer, our project will be to demonstrate and quantify this relationship experimentally." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 0 }