{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "# Drift detection and characterization\n", "\n", "This tutorial shows how to implement drift detection, and a limited characterization, on time-stamped data. This data can be from almost any quantum circuit based experiment on one or more qubits, as long as the data is taken using a suitable time-ordering of the experiments, and the data is recorded as a time series. For example, possible experiments include suitably time-ordered GST, RPE, Ramsey or RB experiments.\n", "\n", "This notebook is an introduction to these tools, and it will be either augmented with further notebooks, or updated to be more comprehensive, at a later date." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "from __future__ import print_function\n", "\n", "# Importing the drift module is essential\n", "from pygsti.extras import drift\n", "\n", "# Importing all of pyGSTi is optional, but often useful.\n", "import pygsti" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## A quick overview\n", "We now give a quick overview of the drift detection and characterization methods in the `drift` module. Further details are given later in this tutorial. As we demonstrate below, the analysis can be implemented with only two steps:\n", "\n", "1. Import some timestamped data, into a `pyGSTi` dataset.\n", "2. Pass this data to a single analysis function, `drift.do_basic_drift_characterization()`.\n", "\n", "Here we demonstrate this with time series GST data, on the $G_i$, $G_x$, $G_y$ gateset, generated from a simulation (the code required to run these simulations is not currently available in `pyGSTi`). In this simulation the $G_i$ gate has low-frequency drift, the $G_x$ has high-frequency drift, and the $G_y$ gate is drift-free (where \"low\" and \"high\" frequency are with respect to the sample rate). More details on the input data format are given later." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading tutorial_files/timeseries_data.txt: 100%\n" ] } ], "source": [ "ds = pygsti.io.load_tddataset(\"tutorial_files/timeseries_data.txt\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# This takes 5 - 10 minutes, but can be sped up a lot with more user input (see below)\n", "results_gst = drift.do_basic_drift_characterization(ds)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Thats it! **\n", "\n", "Everything has been calculated, and we can now look at the results. \n", "\n", "** Is there any detectable drift? **\n", "\n", "One useful result is printed below: a yes/no outcome for whether or not drift is detected. This is calculated using multiple statistical tests on the data at a specified global confidence level (which defaults to 0.95 when no user-specified value is passed to `drift.do_basic_drift_characterization`). That is, here there is a probability of at most 0.05 that this function will report drift when there is none." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Statistical tests set at a global confidence level of: 0.95\n", "Result: The 'no drift' hypothesis *is* rejected.\n" ] } ], "source": [ "results_gst.any_drift_detect()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** We can plot power spectra **\n", "\n", "These spectra *should* be flat - up to statistical flucations, due to finite-sampling noise, around the mean noise level - if there is no drift. There are a range of power spectra that we can plot, but the most useful for an overview of the data is the \"global power spectrum\", obtained from averaging power spectra calculated from the individual data for each of the different gate sequences (again, details on exactly what this is are given later). This is plotted below. If there are peaks above the significance threshold, this power spectra provides statistically significant evidence of drift." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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X0aBBA0JDQxk0aBDz5s3LVW7Dhg106dIFgM6dO/stk59t27bRrVs3oqOjadmy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\n+P9Sp94oZVklxgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_gst.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** We can extract the drift frequencies **\n", "\n", "If we have detected drift, we would probably likely like to know the frequencies of the drift. This information can be extracted from the results object as shown below. All frequencies will be in Hz if the timestamps have been provided in seconds (again, details later). Note that these are the frequencies in the drifting outcome probabilities -- they are *not* directly the frequencies of drift in, say, a Hamiltonian parameter. However, they are closely related to those frequencies." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.001 0.003 0.005 0.008 0.011 0.016 0.2 ]\n" ] } ], "source": [ "print(results_gst.global_drift_frequencies)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Is there drift for a particular sequence? **\n", "\n", "There are individual power spectra for all of the sequences. E.g., if we are interested in whether the $G_xG_i^{128}G_y$ sequence shows signs of drift, we can plot the power spectrum:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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yZAhffPEFTZs2ZdCgQbz88ssMGzaMdKdAFi1aRHh4OMuWLSM3N5dWrVoBcPvt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The gatestring we are interested\n", "gstr = pygsti.objects.GateString(None,'Gx(Gi)^128Gy') \n", "# We hand the gatestring to the plotting function\n", "results_gst.plot_power_spectrum(sequence=gstr,loc='upper right')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Box-plots for GST data **\n", "\n", "If the data is from GST experiments, or anything with a GST-like structure of germs and fudicials, we can create a box-plot which shows the maximum power in the spectrum for each sequence. This maximum power is a reasonable proxy for comparing how \"drifty\" the data from the different sequences appears to be. But note that the maximum power should *not* be used to directly compare the level of drift in two different datasets with different parameters, particularly if the number of timestamps is different - because this maximum power will increase with more data, for a fixed level of drift. More on this at a later date.\n", "\n", "In the plot below we see that the amount of drift appears to be increasing with sequence length, as would be expected with gate drift. Without performing a detailed analysis, by eye it is clear that the $G_i$ gate is the most drifty, that the $G_x$ gate has some drift, and that the data looks consistent with a drift-free $G_y$ gate." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# This box constructs some GST objects, needed to create any sort of boxplot with GST data\n", "from pygsti.construction import std1Q_XYI # The gateset used with the GST data we imported\n", "\n", "# This manually specifies the germ and fiducial structure for the imported data.\n", "fiducial_strs = ['{}','Gx','Gy','GxGx','GxGxGx','GyGyGy']\n", "germ_strs = ['Gi','Gx','Gy','GxGy','GxGyGi','GxGiGy','GxGiGi','GyGiGi','GxGxGiGy','GxGyGyGi','GxGxGyGxGyGy']\n", "log2maxL = 9 # log2 of the maximum germ power\n", "\n", "# Below we use the maxlength, germ and fuducial lists to create the GST structures needed for box plots.\n", "fiducials = [pygsti.objects.GateString(None,fs) for fs in fiducial_strs]\n", "germs = [pygsti.objects.GateString(None,gs) for gs in germ_strs]\n", "max_lengths = [2**i for i in range(0,log2maxL)]\n", "gssList = pygsti.construction.make_lsgst_structs(std1Q_XYI.gates, fiducials, fiducials, germs, max_lengths) " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
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\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a workspace to show the boxplot\n", "w = pygsti.report.Workspace()\n", "w.init_notebook_mode(connected=False, autodisplay=True) " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/enielse/research/pyGSTi/packages/pygsti/report/workspaceplots.py:1743: UserWarning:\n", "\n", "No dataset specified: using DOF-per-element == 1\n", "\n" ] }, { "data": { "text/html": [ "
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\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a boxplot of the maximum power in the power spectra for each sequence.\n", "w.ColorBoxPlot('driftpwr', gssList[-1], None, None, driftresults = results_gst)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** Constructing estimates of the drifting probabilities **\n", "\n", "The analysis creates estimates of the time-dependent probability, $p(t)$, to obtain a given outcome, for each sequence. Below, we will explain how to access and plot all of these estimates. Here, we demonstrate how to plot the estimated $p(t)$ that the analysis concludes is \"the most drifty\" (the $p(t)$ where the estimated drift has the highest power). Obviously, the more this function oscillates, the more drifty the data for this sequence appears to be." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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1PK0Zu5znxhpH49V3r/rZmrGmrbfF6//bcqyJdf+WXi+onJNo/+slP8br89pa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\nASwGFc9Xv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_gst.plot_most_drifty_probability(plot_data=True)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "It can also be informative to display multiple reconstructions on a single plot. Below we plot the reconstructions for the $G_i$ and $G_x$ germs, both with varying germ power and fixed fudicials." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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5c2ejD+bDhg1jwoQJGIZRx4MTCASYOnXqCWn8nUw01P9NcSKcn82bN3PppZcy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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pick a list of sequence labels (here gatestrings) or indices to plot the estimated p(t) for\n", "gstrs = [pygsti.objects.GateString(None,'Gx(Gi)^'+str(2**l)+'Gy') for l in range(4,10)]\n", "# Hand this list to the plotting function\n", "results_gst.plot_multi_estimated_probabilities(gstrs,loc='upper right')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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WFrJ69WrKysoc73ey+W233UZSUhJ5eXlMmjSpjozzzjuPTZs2sX37doqLi1m/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\neUb03xyfAjwg5MxGfjXDEGbrdcMwz7Ag45TzeJDBX9GFIaQ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OsxQrJ48HnvNMyT5+OTwQ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ugGcF7vUhTkZPAg6Pfhqkn9sOa7o9h5qAUn5+fgTAsPVtQ0oSaawsxB3ZAfDuCNiirk+X2Y29vC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/lffZoWdCK3kBNgoJv/AJMOyUwRFYvDuzc/Us4Va2eqEWD449L6tjvJXYaaxOuPwA9PZnlZ7+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\ntpwuO7JKzbF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pick a list of sequence labels (here gatestrings) or indices to plot the estimated p(t) for\n", "gstrs = [pygsti.objects.GateString(None,'(Gx)^'+str(2**l)) for l in range(4,10)]\n", "# Hand this list to the plotting function\n", "results_gst.plot_multi_estimated_probabilities(gstrs,loc='upper right')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "** More details please? **\n", "\n", "Having provided an overview of the tools in the `drift` module, we now give a more detailed introduction to:\n", "1. The types of data that can be analyzed, and the format they must be imported in to use the `drift` module.\n", "2. The analysis methods that are used inside the `drift.do_basic_drift_characterization()`.\n", "3. How to access the various outputs returned by the analysis, and some details on how to interpret them. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Input data types and formats\n", "#### What types of data can be analyzed?\n", "\n", " The methods in this notebook can be used on data from any experiment that satisfies the following criteria: \n", "\n", "- The experiments consist of $S \\geq 1$ different circuits, or sequences, each with $M \\geq 2$ possible outcomes with $M$ the same for all $S$ circuits.\n", "\n", "\n", "- Sequence $s$ is repeated, and one of the $M$ outcomes is recorded, $N$ times during each of $T$ different time-intervals, with $N$ and $T$ the same for all sequences $s$. Let $\\tau_{s,1},\\tau_{s,2},\\dots,\\tau_{s,T}$ denote times associated with these time-intervals (e.g., the start time or mid-point of each interval).\n", "\n", "\n", "- The time-gap between consecutive sets of $N$ repeats of a sequence is approximately constant, and approximately independent of sequence. That is $t_{s,gap} \\approx \\tau_{s,t+1} - \\tau_{s,t}$ for all $s,t$ and some constant $t_{s,gap}$ (the time gap is constant for each sequence), and $t_{gap} \\equiv t_{s,gap} \\approx t_{s',gap}$ for all $s,s'$ (the time gap is the same for every sequence).\n", "\n", "#### What type of circuits can the data come from?\n", "\n", "Many characterization routines, including GST, RPE, restricted sets of GST sequences (e.g., Ramsey sequences) or RB, satisfy the above criteria *if* a suitable time-ordering for the repeats of all of the sequences is chosen.\n", "\n", "An example is a full set of GST sequences, with sequence 1 repeated $N=5$ times, then sequence 2 repeated $N=5$ times, etc, with this entire procedure looped through $T = 500$ times. As long as each circuit follows on from the following circuit with a roughly constant time gap, then -- even if the different circuits take varying times to implement -- the time-gaps between consecutive sets of $N$ repeats of each circuit are all the same.\n", "\n", "To obtain best performance, it is preferable to minimize $N$ and maximize $T$ for the same fixed $N \\times T$ (this will provide better detection for high frequency drift).\n", "\n", "\n", "#### What input formats can be used?\n", "\n", "Two data formats are allowed:\n", "\n", "1. Data can be provided to the analysis function in a `pyGSTi` dataset, which can be imported using the `pygsti.io.load_tddataset()` function, demostrated above. The automated input for this currently has limited functionality, and the analysis is much slower when using this form of input. However, this method has the advantage of simplicity: minimal user specification is required when the analysis uses such a dataset.\n", "\n", "2. Data can be provided to the analysis function as an ordinary numpy array. The analysis is faster when using this format. The array can have a range of different dimensions, but the most flexible format is when the array is 4 dimensional. \n", "\n", "Here we will explain the format when the array is 4 dimensional, below we will demonstrate the method with lower dimensional arrays. When the input array is 4 dimensional, the input data format is a numpy array $A$ of dimension $(S \\times E \\times M_{\\rm marg} \\times T)$, where\n", "1. $S$ is the number of sequences,\n", "2. $E$ is the number of \"entities\" (often 1; and more on this below),\n", "3. $M$ is the number of possible measurement outcomes for each circuit,\n", "4. $T$ is the number of timesteps.\n", "\n", "The matrix element $A[s,e,m,t]$ should record the number of counts (a value in $0,1,\\dots,N-1$) for measurement outcome $m$, on entity $e$, for sequence $s$, with the $t^{\\rm th}$ set of repeats for that sequence.\n", "\n", "The aspect of this array that is perhaps least inuitive is the \"entities\" concept. This allows the storing of independent data for the same circuits, timestamps, and the same possible measurement outcomes for more than one \"entity\". For example, if multiple single-qubit experiments are implemented in parallel, and any correlations between measurement outcomes are discarded, the data from each qubit can be stored with different entity indexes. This then allows for two things:\n", "\n", "1. The analysis function independently looks for drift in each entity.\n", "2. The analysis function combines the data from all entities, to see if that has evidence for drift which was not evident in the analysis of each entity independently. For example, weak evidence for drift in each entity can combine to convincing evidence for drift in the device as a whole.\n", "\n", "Later we will discuss further how to use this \"entities\" concept to optimize data analysis, via examples.\n", "\n", "As shown below, the input data is stored in the results object as an $(S \\times E \\times M \\times T)$ array, \n", "which is the same format as can be used for the input. In our GST example there are 3121 sequences ($S = 3121$), a single entity ($E = 1$), two-outcome measurements ($M=2)$, and 500 timesteps ($T=500$)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(3121, 1, 2, 500)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "np.shape(results_gst.data)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## The analysis methods\n", "\n", "#### What is the aim of the methods in this tutorial?\n", "\n", "The analysis presented in this tutorial has two purposes: to detect and characterize drift. To explain this further, we need to define what we mean by drift.\n", "\n", "There is an underlying probability for circuit $s$ to output the measurement outcome $m$ at time $t$. Denote this by $p_{s,m,t}$, and assume these probabilities satisfy $\\sum_m p_{s,m,t} = 1$ for all $s$ and $t$ (i.e., one of the $M$ measurement outcomes is always observed). By definition, there is no drift if $p_{s,m,t} = p_{s,m,t'}$ for all $s,m,t,t'$. Otherwise there is drift. \n", "\n", "In the experiments considered herein, we are essentially taking $N$ samples from a multinomial probability distribution with probability vector $(p_{s,0,t},p_{s,1,t},\\dots)$ for each $s$ and $m$, at a set of equally-spaced times. As such, the data allows us to estimate properties of the vectors:\n", "\n", "$$ \\boldsymbol{p}_{s,m} = (p_{s,m,t_1},p_{s,m,t_2},\\dots,p_{s,m,t_3}).$$\n", "\n", "The aim of our analysis is:\n", "\n", "1. **Drift Detection:** Starting from the assumption that there is no drift, decide whether there is statistically significant evidence in the data that $p_{s,m,t}$ is *not* independent of $t$.\n", "2. **Drift characterization:** Estimate $p_{s,m,t}$ for all sample times $t$.\n", "\n", "The drift detection and characterization works via spectral analysis, by implement a type of discrete Fourier transform on the data and looking for peaks in the power spectrum that are larger than would be expected if there was no drift.\n", "\n", "Specifically, consider a data vector $\\boldsymbol{x}=(x_0,x_1,\\dots,x_{T-1})$, of the number of counts observed for measurement outcome $m$ with sequence $s$ as a function of time $t \\in [0,1,\\dots,T]$. We remove the data mean from this vector, and renormalize it in a particular way, to obtain the $\\boldsymbol{z}$ vector, defined by:\n", "\n", "$$\n", "z_{s,m,t} = \\frac{x_{s,m,t} - \\bar{x}_{s,m}}{\\sqrt{ N\\bar{x}_{s,m}(1- \\bar{x}_{s,m})}},\n", "$$\n", "\n", "We won't fully explain the reasons for this mapping on $\\boldsymbol{x}$ here, except to note that (1) it is not essential, and (2) the motivation is that -- after this mapping -- the statisical behaviour of the random variable from which $\\boldsymbol{z}$ is drawn, when there is no drift, is largely independent of $N$ and the value of the time-independent probabilitiy $p_{s,m}$.\n", "\n", "We then perform a Fourier transform on the data -- specifically, we implement a Type-II orthogonal discrete cosine transform (DCT) -- to obtain Fourier modes $ \\tilde{\\boldsymbol{z}}_{s,m} = F \\boldsymbol{z}_{s,m}$. The precise definition of this transform is not important for obtaining an intuitive understanding of this method, but for completeness it is defined by:\n", "\n", "\\begin{align}\n", "F_{\\omega,t} =\\sqrt{\\frac{2^{1-\\delta_{\\omega,0}}}{N}} \\cos\\left(\\frac{\\omega \\pi}{N}\\left( t + \\frac{1}{2}\\right)\\right), \n", "\\end{align}\n", "with $\\omega,t=0,\\dots,N-1$.\n", "\n", "We then square these Fourier modes, to obtain a power spectrum $\\tilde{\\boldsymbol{z}}_{s,m}^2$ for each measurement outcome and each sequence. It is these power spectra that we analyze to detect and characterize drift. We can look at the individual power spectra for a particular sequence and measurement outcome. Using the central limit theorem and some statistics (which we will not cover here), it can be show that - when there is no drift - each Fourier mode is approximately a zero-mean unit-variance $\\chi^2_1$ random variable. As such, we can calculate the probability that a spike in a power spectrum is due to random statistical flucations, and if this probability is low enough then we can be confident the peak is due to drift. I.e., the underlying $p(t)$ is not constant.\n", "\n", "We can also average these power spectra over measurement outcomes, and/or over sequences (and over entities, which haven't been discused above, and on which this entire analysis is independently performed). When averaging over all of these quantities, we obtain the global power spectrum presented above. The advantage of this averaging is that it supresses noise from random flucations, but does not supress any \"signal\" due to nonconstant $p(t)$ - as long as the same frequencies are present in many of the power spectra that are being averaged.\n", "\n", "Before explaining any more of the analysis methods, we turn to a simple example." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Example 1 : Single sequence data\n", "We demonstrate this on single-sequence data, for a single entity, with two-outcome measurements. This is the circumstance under which the analysis function can be given data in a 1D array, and so we will use this method below. We now demonstrate the method with simulated data for a drifting and drift free probability.\n", "\n", "Below we use a drifting probability of\n", "$$ p(t) = 0.5 + 0.2 \\cos(0.1 t).,$$\n", "with integer $t$ in the range $0,1,2,\\dots,T$.\n", "This is similar in form to the drifting probability that would be obtained with certain sorts of Ramsey experiment with drifting $\\sigma_z$ over-rotation angle." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Imports for generating fake data to demonstrate the methods.\n", "from numpy.random import binomial\n", "from numpy.random import multinomial" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Due to input array format, analysis is defaulting to assuming:\n", " - single-sequence data\n", " - single entity data\n", " - two-outcome measurements\n", "\n", "Due to input array format, analysis is defaulting to assuming:\n", " - single-sequence data\n", " - single entity data\n", " - two-outcome measurements\n", "\n" ] } ], "source": [ "N = 5 # Counts per timestep\n", "T = 100 # Number of timesteps\n", "\n", "# The confidence of the statistical tests. Here we set it to 0.999, which means that\n", "# if we detect drift we are 0.999 confident that we haven't incorrectly rejected the\n", "# initial hypothesis of no drift.\n", "confidence = 0.999\n", "\n", "# A drifting probability to obtain the measurement outcome with index 1 (out of [0,1])\n", "def pt_drift(t): return 0.5+0.2*np.cos(0.1*t)\n", "\n", "# A drift-free probability to obtain the measurement outcome with index 1 (out of [0,1])\n", "def pt_nodrift(t): return 0.5\n", "\n", "# If we want the sequence to have a label, we define a list for this (here, a list of length 1).\n", "# The labels can, but need not be, pyGSTi GateString objects.\n", "sequences = [pygsti.objects.GateString(None,'Gx(Gi)^64Gx'),]\n", "\n", "# If we want the outcomes to have labels, we define a list for this.\n", "outcomes = ['0','1']\n", "\n", "# Let's create some fake data by sampling from these p(t) at integer times. Here we have\n", "# created a 1D array, but we could have instead created a 1 x 1 x 1 x T array.\n", "data_1seq_drift = np.array([binomial(N,pt_drift(t)) for t in range(0,T)])\n", "data_1seq_nodrift = np.array([binomial(N,pt_nodrift(t)) for t in range(0,T)])\n", "\n", "# If we want frequencies in Hertz, we need to specify the timestep in seconds. If this isn't\n", "# specified, the frequencies are given in 1/timestep with timestep defaulting to 1.\n", "timestep = 1e-5\n", "\n", "# We hand these 1D arrays to the analysis function, along with the number of counts, and other\n", "# optional information\n", "results_1seq_drift = drift.do_basic_drift_characterization(data_1seq_drift, counts=N, outcomes=outcomes,\n", " confidence=confidence, timestep=timestep, \n", " indices_to_sequences=sequences)\n", "results_1seq_nodrift = drift.do_basic_drift_characterization(data_1seq_nodrift, counts=N, outcomes=outcomes, \n", " confidence=confidence, timestep=timestep, \n", " indices_to_sequences=sequences) " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can now compare the global power spectrum obtained when there is drift, and when there is not drift. Except in highly unusual cases (1 in 1000) there will be no drift detected when there is indeed no drift. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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r/uKZ9HXs2JFHH320RPsCuOeeezj55JMBeOmll7jttttITU3lyCOPZPLkySXe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\n+Q/cfwnQG+jnnFvupTUF+AG4mbKVogNRq5tvy7i+vYzzGyuYdol68cI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_1seq_drift.plot_power_spectrum()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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p0qU0adIEgAMHDlChQgXKly9P9erV+fbbb6lRowZr166lRYsWjBo1KmR6Ecl+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\np+CnXTs1vG66ybmXXtIO5ZZb9OXy6afaiN9/X6PmPfBAyJp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_1seq_nodrift.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can look to see what the p-value associated with the largest peak in the power spectrum is. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.991425358122584e-07\n", "0.7817098234261552\n" ] } ], "source": [ "print(results_1seq_drift.global_pvalue)\n", "print(results_1seq_nodrift.global_pvalue)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The analysis function performs:\n", "1. an analysis on a per-sequence, per-entity, per-outcome basis (properties starting with `pspepo`), an analysis on a per-sequence, per-entity, outcome-averaged basis (properties starting with `pspe`), \n", "2. an analysis on a per-sequence, entity-averaged, outcome-averaged basis (properties starting with `ps`), \n", "3. an analysis on a sequence-averaged, per-entity, outcome-averaged basis (properties starting with `pe`),\n", "4. a global analysis on a sequence-averaged, entity-averaged, outcome-averaged basis (properties starting with `global`)\n", "\n", "That is, it inspects all the power spectra, after the relevant averaging has been performed, for evidence of drift (e.g., for case 1 there are $S \\times E \\times M \\times T$ spectra).\n", "\n", "In the example here there is a single sequence, a single entity, and two-outcome measurements. Hence, in this case all of the analyzes are exactly equivalent, as is clear by noting that all of the power spectra are the same:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.69952004e-31 1.40665650e+00 7.38902753e-01 3.32771959e+01]\n", "[5.69952004e-31 1.40665650e+00 7.38902753e-01 3.32771959e+01]\n", "[5.69952004e-31 1.40665650e+00 7.38902753e-01 3.32771959e+01]\n", "[5.69952004e-31 1.40665650e+00 7.38902753e-01 3.32771959e+01]\n", "[5.69952004e-31 1.40665650e+00 7.38902753e-01 3.32771959e+01]\n", "[5.69952004e-31 1.40665650e+00 7.38902753e-01 3.32771959e+01]\n" ] } ], "source": [ "# The power spectrum obtained after averaging over everthing\n", "print(results_1seq_drift.global_power_spectrum[:4])\n", "# The power spectrum obtained after averaging over everthing except sequence label\n", "print(results_1seq_drift.ps_power_spectrum[0,:4])\n", "# The power spectrum obtained after averaging over everthing except entity label\n", "print(results_1seq_drift.pe_power_spectrum[0,:4])\n", "# The power spectrum obtained after averaging over everthing except sequene and entity label\n", "print(results_1seq_drift.pspe_power_spectrum[0,0,:4])\n", "# The two power spectra obtained after averaging over nothing\n", "print(results_1seq_drift.pspepo_power_spectrum[0,0,0,:4])\n", "print(results_1seq_drift.pspepo_power_spectrum[0,0,1,:4])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As we can see above, the power spectra for the two different measurement outcomes are identical. This is because the Fourier modes for all of the measurement outcomes must sum to zero. Hence, there are only $M-1$ independent power spectra, which here is 1.\n", "\n", "As already demonstrated above, the analysis function also creates an estimate for the drift probability for each measurement outcome (and for each sequence, and each entity, but here there is only one of each of these). This estimate is created in the following way:\n", "\n", "1. Inspect the relevant power spectrum (the power spectrum for the sequence, entity, and measurement outcome under consideration).\n", "2. Take the modes obtained from the data, and set all modes with power below the \"significance threshold\" to zero. This significance threshold is generally adjusted for the number of sequences and entities considered, which is not relevant in this case but is discussed below.\n", "3. Keep all modes with power above the significance threshold and invert the Fourier transform.\n", "4. This is the estimate of $p(t)$, up to some final adjustments to guarantee that $p(t)$ is within $[0,1]$.\n", "\n", "Because we have created our data from a known underlying $p(t)$ we can compare our estimate of $p(t)$ with the true $p(t)$. We do this below." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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uUHlrbYW2tvxnW5tt7woRU6QSCUvJZH5bVZV9TyQGxlpXaFHM5aC93codb4+V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\nT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Lets create an array of the true probability. This needs to be\n", "# of dimension S x E x M x T\n", "parray_1seq = np.zeros((1,1,2,T),float)\n", "parray_1seq[0,0,0,:] = np.array([pt_drift(t) for t in range(0,T)])\n", "parray_1seq[0,0,1,:] = 1 - parray_1seq[0,0,0,:]\n", "\n", "# The measurement outcome index we want to look at (here the esimated p(t) \n", "# for one index is just 1 - the p(t) for the other index, because we are\n", "# looking at a two-outcome measurement).\n", "outcome = 1\n", "\n", "# If we hand the parray to the plotting function, it will also plot\n", "# the true probability alongside our estimate from the data\n", "results_1seq_drift.plot_estimated_probability(sequence=0,outcome=outcome,parray=parray_1seq,plot_data=True)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Example 2 : Single-sequence multi-qubit data\n", "Single sequence data with two measurement outcomes is (a) often not will be obtained in experiments, and (b) is not sufficient to demonstrate all of the methods contained within the analysis function, or to understand all of the ouput. Hence, we now consider an example with a single-sequence and 4 measurement outcomes, which could represent a two-qubit single-sequence experiment.\n", "\n", "Let us consider the case of 4 possible measurement outcomes:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# We only explicitly name them for labelling purposes.\n", "outcomes = ['00','01','10','11']" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This could correspond to computational basis measurements of two qubits. Now let us assume that the drifting $p(t)$ for obtaining each measurement outcome factorizes into probabilities for outcomes 0 and 1 for each qubit (e.g., because it is parallel single-qubit experiments and there is no crosstalk). Specifically, take the first qubit to have drifting probability for outcome 0 of\n", "$$ p_{0}(t) = 0.5+0.05 \\cos(0.08t),$$\n", "and the second qubit to have drifting probability for outcome 0 of\n", "$$ p_{0}(t) = 0.5+0.05 \\cos(0.2t),$$\n", "with $t \\in [0,1,\\dots, T]$.\n", "\n", "Let's create some data from these drifting probabilities" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = 10 # Counts per timestep\n", "T = 1000 # Number of timesteps\n", "\n", "# The drifting probabilities for the 4 outcomes\n", "def pt00(t): return (0.5+0.07*np.cos(0.08*t))*(0.5+0.08*np.cos(0.2*t))\n", "def pt01(t): return (0.5+0.07*np.cos(0.08*t))*(0.5-0.08*np.cos(0.2*t))\n", "def pt10(t): return (0.5-0.07*np.cos(0.08*t))*(0.5+0.08*np.cos(0.2*t))\n", "def pt11(t): return (0.5-0.07*np.cos(0.08*t))*(0.5-0.08*np.cos(0.2*t))\n", "\n", "# Because of the type of input (>2 measurement outcomes), we must record the\n", "# data in a 4D array (even though some of the dimensions are trivial)\n", "data_multiqubit = np.zeros((1,1,4,T),float)\n", "\n", "# Generate data from these p(t)\n", "for t in range(0,T):\n", " data_multiqubit[0,0,:,t] = multinomial(N,[pt00(t),pt01(t),pt10(t),pt11(t)])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#### Example 2.1 : A simple analysis of the full dataset\n", "The simplest way to analyze this data is just to hand it to the drift characterization method, as before (note that now we don't need to specify the counts number, as the input is a 4D array). We do this below." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "results_multiqubit_full = drift.do_basic_drift_characterization(data_multiqubit,outcomes=outcomes,confidence=0.99)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "By looking at the global power spectrum, we can clearly see that there is drift." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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79NFHad++PcnJyQwbNgwoWuIyatQobrrpJnr27EmrVq0Kgtb8/Hyuv/562rZt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\nXkCcZDYnz7vmpZWVPM08eHBoQvX00+lptj2H7VktLT3LysIF8b7rO3L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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_full.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As always, we can also return the frequencies, found from inspecting the global power spectrum. As we have not specified a timestep, these are integers between $1$ and $T-1$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[25 64]\n" ] } ], "source": [ "print(results_multiqubit_full.global_drift_frequencies)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Because there are multiple measurement outcomes, we can look at the power spectra for each of these, and also we can look at the drift frequencies found from just analyzing this spectrum. One example of such a power spectrum is given below" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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UnfT0dC655BIL+IwxJUpEuOSSS2xUgTGm1FnQ51K1iVyMOZtZwGeMKQ32XWOM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\n0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "outcome = 0 # the outcome index associated with the '00' outcome\n", "results_multiqubit_full.plot_power_spectrum(sequence=0,entity=0,outcome=outcome)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The drift frequencies found via an independent analysis of each of these spectra. Generally, these need not contain the same frequencies as the global analysis. In this example, because all of the frequencies appear in all of the spectra, the global analysis is more sensitive (reduced noise without reducing signal strength). " ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[64]\n", "[64]\n", "[64]\n", "[64]\n" ] } ], "source": [ "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,0])\n", "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,1])\n", "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,2])\n", "print(results_multiqubit_full.pspepo_drift_frequencies[0,0,3])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As always, we can also look at the reconstruction for a given drifting probability. An example is shown below, where again we construct the true underlying probability with which to compare it." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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UVY0vpcDrwR8Ike/1UDW+8+llpZRSSimlDmax9wDOmTOHU045hSuvvBKPx0N+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\njGLyej1bKp5iNjkSXY+WcvkPR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creates an array of the true probability.\n", "parray_multiqubit_full = np.zeros((1,1,4,T),float)\n", "parray_multiqubit_full[0,0,0,:] = np.array([pt00(t) for t in range(0,T)])\n", "parray_multiqubit_full[0,0,1,:] = np.array([pt01(t) for t in range(0,T)])\n", "parray_multiqubit_full[0,0,2,:] = np.array([pt10(t) for t in range(0,T)])\n", "parray_multiqubit_full[0,0,3,:] = np.array([pt11(t) for t in range(0,T)])\n", "\n", "results_multiqubit_full.plot_estimated_probability(sequence=0,outcome=1, plot_data=True,\n", " parray=parray_multiqubit_full)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#### Example 2.2 : Marginalizing over qubits\n", "\n", "The above analysis looks for drift in the $2^2$ measurements outcomes of a two-qubit circuit. This would be problematic for many qubits, as for $Q$ qubits there is $2^Q$ possible measurement outcomes, and the probability of any one outcome being observed will - for many circuits - converge to zero as $Q$ increases. Then, even for very large $T$, there could be, e.g., at most 2 counts for any one measurement outcome, and the power spectra obtained will be useless.\n", "\n", "However, it is likely in many circumstances that any drift will show up in the marginalized probabilities for obtaining 0 or 1 of each qubit. E.g., in the example above this is precisely what is drifting. We can implement an analysis like this by specifying that the analysis function marginalizes.\n", "\n", "To do this in an automated way, we specify ` marginalize = 'std'`. This then assumes that the data is such that the 0th indexed outcomes is the bitstring 0...0000, the 1st indexed outcome is the bitstring 0...0001, etc. It then associates the first qubit with entity 0 (where first qubit has its measurement outcome recorded as the first bit in the string), the second qubit with entity 1 and so on.\n", "\n", "Note that, when using this method, the input data array grows exponentially in the number of qubits. As such, pre-marginalizing will be preferable for a large number of qubits, in which case the data for different qubits should be stored with different \"entity\" indices.\n", "\n", "Below we demonstrate this method on the same data as analyzed above" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "results_multiqubit_marg = drift.do_basic_drift_characterization(data_multiqubit, outcomes=outcomes, \n", " marginalize = 'std', confidence=0.99)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As we can see from the returned data shape, the data has been split into separate sets for 2 different entities, each have two possible measurement outcomes." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(1, 2, 2, 1000)" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.shape(results_multiqubit_marg.data)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "As always, we can plot the global power spectrum (averaged over everything, including entity, i.e., qubit)." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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kkUdo27YtSUlJjBgxAihY4jJmzBhuuOEGevToQYsWLfKD1ry8PK699lpat25N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\nYmwXXHgh8FSHhejQczu+WGadX9AUeMybAr11PtAkOGRIc5u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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_marg.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "However, now we can look at the power spectrum for each individual qubit. This then shows us that each qubit has a different drift frequency. Something that was not obvious from the analysis implemented without marginalization. Moreover, these spectra show higher peaks (they are approximately twice as high), because -- earlier -- when we constructed the global power spectrum we were averaging pure noise with \"signal\" at both drift frequencies." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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XL17M6tWriYqKAuDYsWPUq1ePunXr0qRJE7799luaNm3K+vXrad++PVOnTvVb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\nRvYqK92+XDyFEEIIIYQoDcaMCb3wKivdfldDRl8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OWrzrXykvEyfmdjVv7dK7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_marg.plot_power_spectrum(sequence=0,entity=1)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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RFi1ahI+PT570kydPpkGDBvz000/k5ORQo0YN577q1as733t5eZGVleXxnLnp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\nqntnsgOCZDaI5YijQOKGzpY2HhAWFzt/D4dJCUm2Ij73HB2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_multiqubit_marg.plot_power_spectrum(sequence=0,entity=0)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "With this analysis we can isolate the drift frequencies of each qubit" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[25]\n", "[64]\n" ] } ], "source": [ "# Drift frequencies for the first qubit\n", "print(results_multiqubit_marg.pe_drift_frequencies[0])\n", "# Drift frequencies for the second qubit\n", "print(results_multiqubit_marg.pe_drift_frequencies[1])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Finally, we can again plot the estimated drift probabilities. Again, these are more informative that what was obtained without marginalization. In particular, the oscillations are noticably stronger, as they are each the sum of two of the drifting probabilities from the \"raw\" unmarginalized case." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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MYeLEifTs2TPuufHemYjMcs4Nqixe5gJqGIZhGIZhGIZRx6xYsYIePXokPH7s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\nKPb75bVyjZFIRPYGPv20GKB33JE5Yu5eX1eXrJ2xyy7SL3w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3lxapEfO99pL5olVgqsJx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creates an array of the true probability.\n", "parray_multiqubit_marg = np.zeros((1,2,2,T),float)\n", "parray_multiqubit_marg[0,0,0,:] = np.array([pt00(t)+pt01(t) for t in range(0,T)])\n", "parray_multiqubit_marg[0,0,1,:] = np.array([pt10(t)+pt11(t) for t in range(0,T)])\n", "parray_multiqubit_marg[0,1,0,:] = np.array([pt00(t)+pt10(t) for t in range(0,T)])\n", "parray_multiqubit_marg[0,1,1,:] = np.array([pt01(t)+pt11(t) for t in range(0,T)])\n", "\n", "results_multiqubit_marg.plot_estimated_probability(sequence=0,entity=0,outcome=0,parray=parray_multiqubit_marg)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "#### Example 2.3 : Marginalizing over qubits loses information and can miss detectable drift\n", "Marginalizing involves throwing away information about correlations between measurement outcomes. As such, it is insensitive to certain types of drift. In particular, if only the correlations between measurement outcomes are drifting. This is perhaps a rather contrived situation, but it is possible. For example, consider the drifting probabilities:\n", "$$ p_{00}(t) = 0.25-0.05 \\cos(0.05*t) $$\n", "$$ p_{01}(t) = 0.25+0.05 \\cos(0.05*t) $$\n", "$$ p_{10}(t) = 0.25+0.05 \\cos(0.05*t) $$\n", "$$ p_{11}(t) = 0.25-0.05 \\cos(0.05*t) $$\n", "In this case, as demonstrated below, the analysis of the full data clearly demonstrates drift, yet the analysis of the marginalized data does not." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = 10 # Counts per timestep\n", "T = 1000 # Number of timesteps\n", "\n", "outcomes = ['00','01','10','11']\n", "\n", "def pt_correlated00(t): return 0.25-0.05*np.cos(0.05*t)\n", "def pt_correlated01(t): return 0.25+0.05*np.cos(0.05*t)\n", "def pt_correlated10(t): return 0.25+0.05*np.cos(0.05*t)\n", "def pt_correlated11(t): return 0.25-0.05*np.cos(0.05*t)\n", "\n", "data_1seq_multiqubit = np.zeros((1,1,4,T),float)\n", "for t in range(0,T):\n", " pvec = [pt_correlated00(t),pt_correlated01(t),pt_correlated10(t),pt_correlated11(t)]\n", " data_1seq_multiqubit[0,0,:,t] = multinomial(N,pvec)\n", " \n", "results_correlatedrift_marg = drift.do_basic_drift_characterization(data_1seq_multiqubit,\n", " outcomes=outcomes, marginalize = 'std')\n", "\n", "results_correlatedrift_full = drift.do_basic_drift_characterization(data_1seq_multiqubit, \n", " outcomes=outcomes, marginalize = 'none')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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apJQarJQ6PfrZE4TUQUSfIAjgtvSdEOqoeqFCSGRLH8All1zCRx99BMCsWbMY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Prww3FLO/uJ0MoB280S4iFUVQk96DHQ9Lv//iKgM+yZSh+30NFza+lSy8c0v9ERFgccYDfp1nj7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\nkjyaPvz3T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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_correlatedrift_marg.plot_power_spectrum()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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e3bNnz6ZTp060adOGgQMHsnnzZgDq16/P+PHjadOmDSkpKSxbtgyAzZs3c8UV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\nsVdzCGzfDg0P+HIvMfYMH3sLBsDwBvh6dp3bqxc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_correlatedrift_full.plot_power_spectrum()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "What this demonstrates is that it is important to carefully decide how to analyze data from a given experiment, with physical motivations for the analysis used." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }