{ "cells": [ { "cell_type": "markdown", "id": "6f62c279-a431-436f-8cb1-d8efd312dfe0", "metadata": {}, "source": [ "# Merging (and Unmerging) probability values\n", "\n", "In quantum computing, it is common to end up with extremely large probability vectors, with relatively few states being *interesting* (having non-zero values).\n", "Dealing with the entire probability vector is thus not only memory-intensive, but also unhelpful in analysis/visualization (try plotting a 2^30 probability vector - not only will you run out of memory, you'll see nothing in the resulting plot). The problem is compounded when these individually large probability vectors are combined (taking a Kronecker product of these vectors, for example, as is one in the `cutqc2` codebase).\n", "\n", "This notebook introduces the `merge_prob_vector` (and the corresponding `unmerge_prob_vector`) functions, the building blocks of classical postprocessing using `cutqc2`.\n", "\n", "## Merging\n", "\n", "The `merge_prob_vector` function in `cutqc2.utils` takes in a probability vector and a `qubit_spec` - a string with characters that mean something specific:\n", " - `A` - keep this qubit *active*, i.e. treat it as normal\n", " - `M` - *merge* this qubit, i.e. sum the probability values for cases when this qubit is either 0 or 1. This effectively compresses multiple states into bins.\n", " - `0` - only consider cases when this qubit is `0`, otherwise, ignore them.\n", " - `1` - only consider cases when this qubit is `1`, otherwise, ignore them.\n", "\n", "The merge operation thus returns a new probability vector (of length <= the original uncompressed vector), allowing us *zoomed-in* access to probability values.\n", "\n", "## Unmerging\n", "\n", "The `unmerge_prob_vector` function does the opposite. It takes a compressed probability vector, the `qubit_spec` used to create it, and *spreads* the values across all possible states, distributing probability mass evenly when it needs to.\n", "\n", "The unmerge operation thus returns a new probability vector (of length >= the compressed vector), allowing us *zoomed-out* access to probability values.\n", "\n", "`unmerge_prob_vector` is obviously a *lossy* operation (since it assumes an even distribution between possible states), and cannot recover the original probability distribution.\n", "\n", "The combined effect of merging/unmerging is that we get a *blurred* representation of the probability distribution.\n", "\n", "Let's see these in action." ] }, { "cell_type": "code", "execution_count": 1, "id": "de3e8724-e0d6-47bd-bfef-559ec4741026", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(INFO) (base_tasks.py) (29-Sep-25 19:18:48) Pass: UnrollCustomDefinitions - 0.07272 (ms)\n", "(INFO) (base_tasks.py) (29-Sep-25 19:18:48) Pass: BasisTranslator - 0.01788 (ms)\n" ] } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "from cutqc2.core.utils import merge_prob_vector, unmerge_prob_vector" ] }, { "cell_type": "markdown", "id": "9de5b1c9-b6e6-4787-b997-a481d4610693", "metadata": {}, "source": [ "Create a length 32 (5 bit) probability vector using numpy, and plot it." ] }, { "cell_type": "code", "execution_count": 2, "id": "e3aa5b91-4674-4b8c-b62e-35bc79c37e3f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "full_distribution = np.random.dirichlet(np.ones(32), size=1)[0]\n", "\n", "plt.plot(range(len(full_distribution)), full_distribution, linestyle=\"--\", color=\"r\")" ] }, { "cell_type": "markdown", "id": "c427aa33-a53c-4585-a3fe-cf2e620a2174", "metadata": {}, "source": [ "Let's create a function that takes in the original distribution, a `qubit_spec`, and plots the distribution as well as the blurred representation of it (by merging and unmerging using the same `qubit_spec`)." ] }, { "cell_type": "code", "execution_count": 3, "id": "b06572be-fbf3-48df-8095-84573f137fe9", "metadata": {}, "outputs": [], "source": [ "def plot(dist, qubit_spec: str):\n", " # Plot original distribution\n", " plt.plot(range(len(dist)), dist, linestyle=\"--\", color=\"r\")\n", "\n", " # Plot coarse-grained distribution\n", " dist = unmerge_prob_vector(merge_prob_vector(dist, qubit_spec), qubit_spec)\n", " plt.bar(range(len(dist)), dist)\n", " plt.title(qubit_spec)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "dc33b8af-0dff-498a-8b82-6d738b394286", "metadata": {}, "source": [ "Look at the different plots we get for differing values of `qubit_spec`s, going from all merged qubits (`MMMMM`) to all active (`AAAAA`). The more active qubits we have in our `qubit_spec`, the better the reconstructed distribution approximates the original distribution." ] }, { "cell_type": "code", "execution_count": 4, "id": "5594d932-9236-4a67-a057-d7ed42eb2058", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(full_distribution, \"MMMMM\")\n", "\n", "plot(full_distribution, \"MMMAM\")\n", "# note that the location of the active qubits matter.\n", "# The following is not the same case as above.\n", "plot(full_distribution, \"MAMMM\")\n", "\n", "plot(full_distribution, \"MAAAA\")\n", "plot(full_distribution, \"AAAAA\")" ] }, { "cell_type": "markdown", "id": "fcadb184-1057-4138-b008-7c09c9442f83", "metadata": {}, "source": [ "If we were peeking into the distribution using just a single qubit resolution, we might, as an example, try to plot the distribution when the MSB is 0 (and the rest of the qubits are merged), and again when the MSB is 1 (and the rest of the qubits are merged). This will tell us which half of the distribution has more probability mass (for further investigation)." ] }, { "cell_type": "code", "execution_count": 5, "id": "811180b1-a239-465b-bc05-167d2e52b856", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(full_distribution, \"0MMMM\")\n", "plot(full_distribution, \"1MMMM\")" ] }, { "cell_type": "markdown", "id": "c21e74f5-6b59-4e50-a20a-d8b18574ffe0", "metadata": {}, "source": [ "### Doesn't unmerging undermine the whole point of doing all of this?\n", "\n", "It is absolutely correct that unmerging like we're naively doing here brings us back to the regime of `2^num_qubits` address space. All the bar plots above have 32 bins after all. However, this is done here only for illustrative purposes. We will typically be using the `unmerge_prob_vector` function by passing in another argument, `full_states`, which is an `ndarray` of state values we're interested in exploring.\n", "\n", "Let us modify our `plot` function so it takes a `full_states` argument that we pass on to `unmerge_prob_vector`. We'll call it `selective_plot`." ] }, { "cell_type": "code", "execution_count": 6, "id": "8171f2ab-c30d-43c2-834f-7b009aad4375", "metadata": {}, "outputs": [], "source": [ "def selective_plot(dist, qubit_spec: str, full_states: np.ndarray):\n", " # Plot original distribution\n", " plt.plot(range(len(dist)), dist, linestyle=\"--\", color=\"r\")\n", "\n", " # Plot coarse-grained distribution\n", " dist = unmerge_prob_vector(\n", " merge_prob_vector(dist, qubit_spec), qubit_spec, full_states\n", " )\n", " plt.bar(range(len(dist)), dist)\n", " plt.title(qubit_spec)\n", " plt.show()" ] }, { "cell_type": "markdown", "id": "bcb35c4d-bcee-4a8f-a077-33f48b0fc436", "metadata": {}, "source": [ "With this function, if we choose to work with 4 qubits (i.e. one merged and 4 active), we can choose to only expand the second half of the unmerged plot." ] }, { "cell_type": "code", "execution_count": 7, "id": "db600751-10c5-47ee-ac96-584ddb634930", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "selective_plot(full_distribution, \"MAAAA\", np.arange(32, 65))" ] }, { "cell_type": "markdown", "id": "2d740a5d-6e08-40bf-94b0-8ced1f2a3c8e", "metadata": {}, "source": [ "## Conclusion\n", "\n", "We're now effectively able to approximate the original distribution of 5 qubits with a memory space of 4 qubits. The quality of the approximation may not be great (we'll never know since we don't have access to the original distribution - the dashed red lines in this toy example). That's where the `DynamicDefinition` class comes in!" ] } ], "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": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }