caryan · July 2, 2020 03:58
diff --git a/Where to measure a Ramsey curve.ipynb b/Where to measure a Ramsey curve.ipynb
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    "# Optimal Sampling of a Ramsey Experiment\n",
    "\n",
    "Let's look at the experimental design problem of where to sample a Ramsey fringe experiment. A time-domain version of the Ramsey fringe experiment is implemented by the X90 - delay - X90 experiment and is typically used to measure the qubit frequency.  If the qubit is off-resonant from the drive then the resulting the probability of seeing a $|1\\rangle$ follows a $\\cos^2$ pattern. The frequency $f$ and sampling time combine to give some total evolution phase $\\theta$. If we know the sampling time $t$ then we can calcualte the frequency $f$. One obvious question is what sampling times will maximize the information we learn about $f$. "
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     "name": "stderr",
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     "text": [
      "┌ Info: For saving to png with the Plotly backend ORCA has to be installed.\n",
      "└ @ Plots /home/cryan/.julia/packages/Plots/E3MWZ/src/backends.jl:373\n"
     ]
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   "source": [
    "using Distributions: Binomial, Normal, pdf, logpdf\n",
    "using DistributionsAD\n",
    "using Plots\n",
    "plotly()  # for interactive notebook\n",
    "# pyplot()  # for saving SVG figures\n",
    "using QuadGK: quadgk\n",
    "using Zygote"
   ]
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       "        <title>Plots.jl</title>\n",
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   "source": [
    "# probability of |1> for a given Ramsey phase evolution θ\n",
    "prob(θ) = cos(θ/2)^2\n",
    "\n",
    "τs = range(0, 2π; length=100)\n",
    "p = plot(τs, prob.(τs), label=nothing)\n",
    "xlabel!(p, \"Phase θ (rad.)\")\n",
    "ylabel!(p, \"Probability of |1⟩\")\n",
    "# savefig(p, \"ramsey_fringe.svg\")"
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   "metadata": {},
   "source": [
    "Let's first look at the case of where there is no quantum shot noise but instead additive phase indepdendent Gaussian noise. This corresponds to the situation of a large ensemble. Then for any given measured probability of |1⟩ we can use the model to assess the likelihood that the true parameter was $\\theta$ and gave that outcome.  Let's plot the likelihood function for various measurement outcomes."
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   "cell_type": "code",
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",
      "text/html": [
       "<!DOCTYPE html>\n",
       "<html>\n",
       "    <head>\n",
       "        <title>Plots.jl</title>\n",
       "        <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n",
       "        <script src=\"https://cdn.plot.ly/plotly-1.54.2.min.js\"></script>\n",
       "    </head>\n",
       "    <body>\n",
       "            <div id=\"3ac9e8fe-acfd-4189-af2d-fac205a85cfc\" style=\"width:600px;height:400px;\"></div>\n",
       "    <script>\n",
       "    PLOT = document.getElementById('3ac9e8fe-acfd-4189-af2d-fac205a85cfc');\n",
       "    Plotly.plot(PLOT, [\n",
       "    {\n",
       "        \"xaxis\": \"x1\",\n",
       "        \"colorbar\": {\n",
       "            \"title\": \"\"\n",
       "        },\n",
       "        \"yaxis\": \"y1\",\n",
       "        \"x\": [\n",
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    "# gaussian noise with μ = 0 and σ = 0.02\n",
    "noise = Normal(0.0, 0.02)\n",
    "\n",
    "\"\"\"\n",
    "Given some measured value `x` return the likelihood function evaluated at the given `θs`.\n",
    "\"\"\"\n",
    "function lh(x, θs)\n",
    "    vals = pdf.(noise, x .- prob.(θs))\n",
    "end\n",
    "\n",
    "θs = range(0, 2π; length=400)\n",
    "p = plot(θs, lh(0.0, θs), label=\"x = 0\")\n",
    "plot!(p, θs, lh(1.0, θs), label=\"x = 1\")\n",
    "plot!(p, θs, lh(0.5, θs), label=\"x = 0.5\")\n",
    "xlabel!(p, \"θ (rad.)\")\n",
    "ylabel!(p, \"Likelihood\")\n",
    "title!(p, \"Likelihood of θ given various measured probabilities\")\n",
    "# savefig(p, \"likelihood.svg\")"
   ]
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   "metadata": {},
   "source": [
    "# Fisher Information"
   ]
  },
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   "cell_type": "code",
   "execution_count": 4,
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     "data": {
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       "fisher (generic function with 2 methods)"
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    "\"\"\"\n",
    "Calculate the Fisher information about θ for a random variable X distributed according to `f(x,θ)`,\n",
    "and optionally `logf(x,θ)` if available. The expectation value is evaluated over either the given\n",
    "`integration_range` or discrete set of values.\n",
    "\"\"\"\n",
    "function fisher(θ, f, logf; integration_range=nothing, xs=nothing)\n",
    "    # make sure we're only passed one of an integration range or discrete set of values\n",
    "    @assert (integration_range != nothing) ⊻ (xs != nothing)\n",
    "\n",
    "    norm = 0.0\n",
    "    val = 0.0\n",
    "    if xs != nothing\n",
    "        # discrete sum version\n",
    "        for x in xs\n",
    "            l(θ) = logf(x, θ)\n",
    "            prob = f(x, θ)\n",
    "            norm += prob\n",
    "            val += (l'(θ))^2 * prob\n",
    "        end\n",
    "    else\n",
    "        # continuous integral version\n",
    "        function h(x)\n",
    "            l(θ) = logf(x, θ)\n",
    "            (l'(θ))^2\n",
    "        end\n",
    "        val = quadgk(x -> h(x)*f(x, θ), integration_range[1], integration_range[2])[1]\n",
    "        norm = quadgk(x -> f(x, θ), integration_range[1], integration_range[2])[1]\n",
    "    end\n",
    "    val/norm\n",
    "end\n",
    "\n",
    "# provide logf if not given\n",
    "fisher(θ, f; integration_range=nothing, xs=nothing) = fisher(θ, f, (x,θ) -> log(f(x,θ)); integration_range=integration_range, xs=xs)"
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",
      "text/html": [
       "<!DOCTYPE html>\n",
       "<html>\n",
       "    <head>\n",
       "        <title>Plots.jl</title>\n",
       "        <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n",
       "        <script src=\"https://cdn.plot.ly/plotly-1.54.2.min.js\"></script>\n",
       "    </head>\n",
       "    <body>\n",
       "            <div id=\"f42d57d2-bf0f-4dac-a9ad-eef3abff44e7\" style=\"width:600px;height:400px;\"></div>\n",
       "    <script>\n",
       "    PLOT = document.getElementById('f42d57d2-bf0f-4dac-a9ad-eef3abff44e7');\n",
       "    Plotly.plot(PLOT, [\n",
       "    {\n",
       "        \"xaxis\": \"x1\",\n",
       "        \"colorbar\": {\n",
       "            \"title\": \"\"\n",
       "        },\n",
       "        \"yaxis\": \"y1\",\n",
       "        \"x\": [\n",
       "            0.01,\n",
       "            0.0198,\n",
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       "            0.3138,\n",
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     "execution_count": 5,
     "metadata": {},
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   ],
   "source": [
    "# Bernoulli as a sanity check\n",
    "f(x,θ) = θ^x * (1-θ)^(1-x)\n",
    "θs = range(0.01, 0.99; length=101)\n",
    "p = plot(θs, fisher.(θs, f; xs=(0,1)), label=\"Numerical\")\n",
    "plot!(p, θs, 1 ./ (θs.*(1 .- θs)), label=\"Analytic\", linestyle=:dash)\n",
    "xlabel!(p, \"Bernoulli Parameter θ\")\n",
    "ylabel!(p, \"Fisher Information\")\n",
    "# savefig(p, \"fisher_information_bernoulli.svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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",
      "text/html": [
       "<!DOCTYPE html>\n",
       "<html>\n",
       "    <head>\n",
       "        <title>Plots.jl</title>\n",
       "        <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n",
       "        <script src=\"https://cdn.plot.ly/plotly-1.54.2.min.js\"></script>\n",
       "    </head>\n",
       "    <body>\n",
       "            <div id=\"3fb39c97-3674-4244-8172-a152ead291d9\" style=\"width:600px;height:400px;\"></div>\n",
       "    <script>\n",
       "    PLOT = document.getElementById('3fb39c97-3674-4244-8172-a152ead291d9');\n",
       "    Plotly.plot(PLOT, [\n",
       "    {\n",
       "        \"xaxis\": \"x1\",\n",
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     "execution_count": 6,
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   "source": [
    "# Sinusoid with additive Gaussian noise\n",
    "σ = 0.01\n",
    "dist(θ) = Normal(cos(θ), σ)\n",
    "f(x, θ) = pdf(dist(θ), x)\n",
    "logf(x, θ) = logpdf(dist(θ), x)\n",
    "θs = range(0,2π;length=101)\n",
    "p = plot()\n",
    "p = plot!(p, θs, fisher.(θs, f, logf; integration_range=(-2, 2)), label=\"Numerical\")\n",
    "plot!(p, θs, (1/σ^2)*(sin.(θs).^2), label=\"Analytical\", linestyle=:dash)\n",
    "xlabel!(p, \"Angle θ (rad)\")\n",
    "ylabel!(p, \"Fisher Information\")\n",
    "title!(p, \"Sinusoid Model with Gaussian Noise\")\n",
    "# savefig(p, \"fisher_information_sinusoid_gaussian.svg\")"
   ]
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",
      "text/html": [
       "<!DOCTYPE html>\n",
       "<html>\n",
       "    <head>\n",
       "        <title>Plots.jl</title>\n",
       "        <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n",
       "        <script src=\"https://cdn.plot.ly/plotly-1.54.2.min.js\"></script>\n",
       "    </head>\n",
       "    <body>\n",
       "            <div id=\"f23277be-436c-4ee1-b318-b36bedf4f734\" style=\"width:600px;height:400px;\"></div>\n",
       "    <script>\n",
       "    PLOT = document.getElementById('f23277be-436c-4ee1-b318-b36bedf4f734');\n",
       "    Plotly.plot(PLOT, [\n",
       "    {\n",
       "        \"xaxis\": \"x1\",\n",
       "        \"colorbar\": {\n",
       "            \"title\": \"\"\n",
       "        },\n",
       "        \"yaxis\": \"y1\",\n",
       "        \"x\": [\n",
       "            0.06283185307179587,\n",
       "            0.12566370614359174,\n",
       "            0.18849555921538758,\n",
       "            0.25132741228718347,\n",
       "            0.3141592653589793,\n",
       "            0.37699111843077515,\n",
       "            0.43982297150257105,\n",
       "            0.5026548245743669,\n",
       "            0.5654866776461628,\n",
       "            0.6283185307179586,\n",
       "            0.6911503837897545,\n",
       "            0.7539822368615503,\n",
       "            0.8168140899333463,\n",
       "            0.8796459430051421,\n",
       "            0.9424777960769379,\n",
       "            1.0053096491487339,\n",
       "            1.0681415022205296,\n",
       "            1.1309733552923256,\n",
       "            1.1938052083641213,\n",
       "            1.2566370614359172,\n",
       "            1.3194689145077132,\n",
       "            1.382300767579509,\n",
       "            1.4451326206513049,\n",
       "            1.5079644737231006,\n",
       "            1.5707963267948966,\n",
       "            1.6336281798666925,\n",
       "            1.6964600329384882,\n",
       "            1.7592918860102842,\n",
       "            1.82212373908208,\n",
       "            1.8849555921538759,\n",
       "            1.9477874452256718,\n",
       "            2.0106192982974678,\n",
       "            2.0734511513692633,\n",
       "            2.1362830044410592,\n",
       "            2.199114857512855,\n",
       "            2.261946710584651,\n",
       "            2.324778563656447,\n",
       "            2.3876104167282426,\n",
       "            2.4504422698000385,\n",
       "            2.5132741228718345,\n",
       "            2.5761059759436304,\n",
       "            2.6389378290154264,\n",
       "            2.701769682087222,\n",
       "            2.764601535159018,\n",
       "            2.827433388230814,\n",
       "            2.8902652413026098,\n",
       "            2.9530970943744057,\n",
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     "execution_count": 7,
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   "source": [
    "# Ramsey fringe with spin projection noise and N shots\n",
    "N = 1\n",
    "f(x, θ) = pdf(Binomial(N, cos(θ/2)^2), x)\n",
    "logf(x, θ) = logpdf(Binomial(N, cos(θ/2)^2), x)\n",
    "θs = range(0, 2π; length=101)\n",
    "p = plot(θs, fisher.(θs, f, logf; xs=0:N), label=\"Numerical\")\n",
    "plot!(p, θs, ones(length(θs)), label=\"Analytical\", linestyle=:dash)\n",
    "ylims!(p, 0, 2)\n",
    "xlabel!(p, \"Angle θ (rad)\")\n",
    "ylabel!(p, \"Fisher Information\")\n",
    "title!(p, \"Sinusoid Model with Projection Noise\")\n",
    "# savefig(p, \"fisher_information_sinusoid_projection.svg\")"
   ]
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   "execution_count": null,
   "metadata": {},
   "outputs": [],
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