From 1dc158857393035a7c496931edd0bcd5c6b9b825 Mon Sep 17 00:00:00 2001 From: marianouria Date: Thu, 27 Oct 2022 04:56:25 +0000 Subject: [PATCH] =?UTF-8?q?Funcion=20a=C3=B1adida?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../Challenge_notebook-checkpoint.ipynb | 786 ++++++++++++++++++ Challenge_notebook.ipynb | 429 ++++++++-- README.md | 6 +- 3 files changed, 1159 insertions(+), 62 deletions(-) create mode 100644 .ipynb_checkpoints/Challenge_notebook-checkpoint.ipynb diff --git a/.ipynb_checkpoints/Challenge_notebook-checkpoint.ipynb b/.ipynb_checkpoints/Challenge_notebook-checkpoint.ipynb new file mode 100644 index 0000000..8bad827 --- /dev/null +++ b/.ipynb_checkpoints/Challenge_notebook-checkpoint.ipynb @@ -0,0 +1,786 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Solving the number partitioning problem using OpenQAOA\n", + "\n", + "## The combinatorial problem\n", + "\n", + "Number partitioning is often considerest the simplest among NP-Hard combinatorial optimisation problems (see [wikipedia](https://en.wikipedia.org/wiki/Partition_problem) for a simple reference). The problem statement is quite simple: you are given a set of numbers $N$ where $n_i \\in N$ is a positive integer, and you are asked to find two subsets $A$ and $B$ such that\n", + "\n", + "1. $A \\cap B = \\emptyset$, i.e., the two sets are disjoint\n", + "2. $|\\sum_i a_i - \\sum_j b_j|$, where $ a \\in A$ and $b \\in B$ is minimised, i.e., the difference in the sum of all elements in A and the sum of all the elements in B is minimised" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, QAOA only accepts binary terms. However, we are in luck! There is a straightforward formulation of the above problem statement in binary variables. And it is already implemented in OpenQAOA! :)\n", + "\n", + "\\begin{equation}\n", + "\\verb|Cost function| = (\\sum_i n_i x_i)^2\n", + "\\end{equation}\n", + "\n", + "where each $x_i \\in \\pm 1$ is a binary decisional variable, and $n_i$ is the i-th number in the list" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's make a concrete case. Let's assume we want to partition the simples problem we can think of: $N = [1,2,3]$.\n", + "\n", + "Then our cost function will be\n", + "\n", + "\\begin{equation}\n", + "\\verb|Cost function| = (1*x_1 + 2*x_2 + 3*x_3)^2\n", + "\\end{equation}\n", + "\n", + "Now, our algorithm has to find a set of values $verb|solution| = (x_1, x_2, x_3)$ such that the cost function above is minimised.\n", + "\n", + "For this problem, you can verify that solutions $1,1,0$ and $0, 0, 1$ indeed solve the problem!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Let's solve the problem with OpenQAOA" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### The very first step is the problem creation" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra 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/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from stevedore>=3.0.0->qiskit-terra==0.22.0->qiskit>=0.36.1->openqaoa) (5.8.1)\n", + "Requirement already satisfied: ruamel.yaml.clib>=0.2.6 in /home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from ruamel.yaml->rpcq<4.0.0,>=3.10.0->pyquil>=3.1.0->openqaoa) (0.2.6)\n", + "Requirement already satisfied: cffi>=1.12 in /home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from cryptography>=1.3->requests-ntlm>=1.1.0->qiskit-ibmq-provider==0.19.2->qiskit>=0.36.1->openqaoa) (1.15.0)\n", + "Requirement already satisfied: h11<0.13,>=0.11 in /home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from httpcore<0.16.0,>=0.15.0->httpx<0.24.0,>=0.23.0->qcs-api-client<0.22.0,>=0.21.0->pyquil>=3.1.0->openqaoa) (0.12.0)\n", + "Requirement already satisfied: anyio==3.* in /opt/conda/lib/python3.9/site-packages (from httpcore<0.16.0,>=0.15.0->httpx<0.24.0,>=0.23.0->qcs-api-client<0.22.0,>=0.21.0->pyquil>=3.1.0->openqaoa) (3.5.0)\n", + "Requirement already satisfied: pycparser in /home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from cffi>=1.12->cryptography>=1.3->requests-ntlm>=1.1.0->qiskit-ibmq-provider==0.19.2->qiskit>=0.36.1->openqaoa) (2.21)\n", + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0mInstalling collected packages: matplotlib, httpcore, qiskit-aer, httpx, qiskit-ibmq-provider, qcs-api-client, qiskit, pyquil, amazon-braket-sdk, openqaoa\n", + " Attempting uninstall: matplotlib\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: matplotlib 3.5.1\n", + " Uninstalling matplotlib-3.5.1:\n", + " Successfully uninstalled matplotlib-3.5.1\n", + " Attempting uninstall: httpcore\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: httpcore 0.11.1\n", + " Uninstalling httpcore-0.11.1:\n", + " Successfully uninstalled httpcore-0.11.1\n", + " Attempting uninstall: qiskit-aer\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qiskit-aer 0.10.3\n", + " Uninstalling qiskit-aer-0.10.3:\n", + " Successfully uninstalled qiskit-aer-0.10.3\n", + " Attempting uninstall: httpx\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: httpx 0.15.5\n", + " Uninstalling httpx-0.15.5:\n", + " Successfully uninstalled httpx-0.15.5\n", + " Attempting uninstall: qiskit-ibmq-provider\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qiskit-ibmq-provider 0.18.3\n", + " Uninstalling qiskit-ibmq-provider-0.18.3:\n", + " Successfully uninstalled qiskit-ibmq-provider-0.18.3\n", + " Attempting uninstall: qcs-api-client\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qcs-api-client 0.8.0\n", + " Uninstalling qcs-api-client-0.8.0:\n", + " Successfully uninstalled qcs-api-client-0.8.0\n", + " Attempting uninstall: qiskit\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qiskit 0.34.2\n", + " Uninstalling qiskit-0.34.2:\n", + " Successfully uninstalled qiskit-0.34.2\n", + " Attempting uninstall: pyquil\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: pyquil 3.0.1\n", + " Uninstalling pyquil-3.0.1:\n", + " Successfully uninstalled pyquil-3.0.1\n", + " Attempting uninstall: amazon-braket-sdk\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: amazon-braket-sdk 1.18.0\n", + " Uninstalling amazon-braket-sdk-1.18.0:\n", + " Successfully uninstalled amazon-braket-sdk-1.18.0\n", + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n", + "qbraid 0.1.0.dev0 requires amazon-braket-sdk==1.18.0, but you have amazon-braket-sdk 1.23.0 which is incompatible.\n", + "qbraid 0.1.0.dev0 requires pyquil==3.0.1, but you have pyquil 3.3.2 which is incompatible.\n", + "qbraid 0.1.0.dev0 requires qiskit==0.34.2, but you have qiskit 0.39.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires h11~=0.9.0, but you have h11 0.12.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires httpcore~=0.11.1, but you have httpcore 0.15.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires httpx~=0.15.5, but you have httpx 0.23.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires iso8601~=0.1.14, but you have iso8601 1.1.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires pyjwt~=1.7.1, but you have pyjwt 2.6.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires pyquil~=3.0.0; python_version >= \"3.7\", but you have pyquil 3.3.2 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires qcs-api-client~=0.8.0, but you have qcs-api-client 0.21.2 which is incompatible.\u001b[0m\u001b[31m\n", + "\u001b[0mSuccessfully installed amazon-braket-sdk-1.23.0 httpcore-0.15.0 httpx-0.23.0 matplotlib-3.4.3 openqaoa-0.0.2 pyquil-3.3.2 qcs-api-client-0.21.2 qiskit-0.39.0 qiskit-aer-0.11.0 qiskit-ibmq-provider-0.19.2\n", + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: You are using pip version 22.0.4; however, version 22.3 is available.\n", + "You should consider upgrading via the '/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/bin/python -m pip install --upgrade pip' command.\u001b[0m\u001b[33m\n", + "\u001b[0mNote: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install openqaoa" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "from openqaoa.problems.problem import NumberPartition\n", + "np = NumberPartition(numbers=[1,2,3])\n", + "np_qubo = np.get_qubo_problem()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can visualise the problem statement as" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# visualize the QUBO form on a graph\n", + "from openqaoa.utilities import plot_graph, graph_from_hamiltonian\n", + "\n", + "#extract Hamiltonain\n", + "cost_hamil = np_qubo.hamiltonian\n", + "\n", + "#convert Hamiltonian to graph\n", + "cost_gr = graph_from_hamiltonian(cost_hamil)\n", + "\n", + "#plot the graph\n", + "plot_graph(cost_gr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Now, let's solve the problem using OpenQAOA" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from openqaoa.workflows.optimizer import QAOA" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The simples QAOA workflow you can crate is the following" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialise QAOA using the default values\n", + "q = QAOA()\n", + "# Complile the QAOA workflow\n", + "q.compile(np_qubo)\n", + "# Optimise the problem!\n", + "q.optimize()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "states kept: 8\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "q.results.plot_probabilities()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Yay! Indeed the two states with the highes probabilities are `110` and `001`" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setting up the initial parmeters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's try to set the initial parameters for OpenQAOA" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialise QAOA\n", + "q = QAOA()\n", + "q.compile(np_qubo)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "After compiling the problem, OpenQAOA generates and initialises the value of the variational parameters:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Standard Parameterisation:\n", + "\tp: 1\n", + "Variational Parameters:\n", + "\tbetas: [0.35]\n", + "\tgammas: [0.35]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q.variate_params" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "However, as problems get more and more complex it gets hardwre and harder to select good parameters. In OpenQAOA we have three strategies controlled by the keywordk `init_type`:\n", + "\n", + "1. Random\n", + "2. Custom\n", + "3. (linear) Ramp" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialise QAOA\n", + "q = QAOA()\n", + "q.set_circuit_properties(p=1, param_type='standard', init_type='rand')\n", + "q.compile(np_qubo)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Standard Parameterisation:\n", + "\tp: 1\n", + "Variational Parameters:\n", + "\tbetas: [1.91961108]\n", + "\tgammas: [1.2588636]" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "q.variate_params" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialise QAOA\n", + "q = QAOA()\n", + "q.set_circuit_properties(p=2, param_type='standard', init_type='custom', \n", + " variational_params_dict={'betas':[1,1],'gammas':[1,0]})\n", + "q.compile(np_qubo)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "states kept: 8\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "q.optimize()\n", + "q.results.plot_probabilities()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The challenge" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You have to find a good way to initialise the variational parameters!" + ] + }, + { + "cell_type": "code", + "execution_count": 771, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy\n", + "def my_submission_function(p):\n", + " \"\"\"\n", + " Note that the number of betas and gammas depend on the number of layers `p`!\n", + "\n", + " Also, in OpenQAOA there are several parametrisation techiques which will change the structure \n", + " of the return of `my_submission_function`\n", + " For more details: https://el-openqaoa.readthedocs.io/en/latest/notebooks/05_advanced_parameterization.html\n", + " \"\"\"\n", + "\n", + " return { 'betas' : [numpy.cos(0.01*p**2*i) for i in range(p)],\n", + " 'gammas' : [numpy.sin(0.01*p**2*i) for i in range(p)]} \n", + " \n", + "# return { 'betas' : [numpy.random.randn() for i in range(p)],\n", + "# 'gammas' : [numpy.random.randn() for i in range(p)]}" + ] + }, + { + "cell_type": "code", + "execution_count": 781, + "metadata": {}, + "outputs": [], + "source": [ + "p = 19\n", + "q_submission = QAOA()\n", + "q_submission.set_circuit_properties(p=p, \n", + " param_type='standard',\n", + " init_type='custom',\n", + " variational_params_dict=my_submission_function(p))" + ] + }, + { + "cell_type": "code", + "execution_count": 782, + "metadata": {}, + "outputs": [], + "source": [ + "q_submission.compile(np_qubo)" + ] + }, + { + "cell_type": "code", + "execution_count": 783, + "metadata": {}, + "outputs": [], + "source": [ + "q_submission.optimize()" + ] + }, + { + "cell_type": "code", + "execution_count": 784, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "q_submission.results.plot_probabilities()" + ] + }, + { + "cell_type": "code", + "execution_count": 786, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 1.0683709247372561\n", + "2 2.2791802877427014\n", + "3 2.4959284590109863\n", + "4 0.29180652216310854\n", + "5 0.649046899558327\n", + "6 0.3633647872805429\n", + "7 0.34083938546275905\n", + "8 1.626841536877527\n", + "9 0.3255380752727631\n", + "10 0.17471344504623074\n", + "11 1.6282740535262423\n", + "12 0.6178654498795177\n", + "13 0.9378317673986503\n", + "14 1.0730489157561205\n", + "15 0.3107480634343645\n", + "16 0.6914343701173131\n", + "17 1.2974627779844794\n", + "18 0.9690451822715421\n", + "19 2.5699461160832593\n" + ] + } + ], + "source": [ + "for p in range(1,20):\n", + " q_submission.set_circuit_properties(p=p,param_type='standard',init_type='custom',variational_params_dict=my_submission_function(p))\n", + " q_submission.compile(np_qubo)\n", + " q_submission.optimize()\n", + " print(p,\" \",min(q_submission.results.intermediate['intermediate cost']))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Data generation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To generate data for the number partitioning problem simple generate lists of 10 random numbers between 1 and 30. For example," + ] + }, + { + "cell_type": "code", + "execution_count": 802, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[17, 5, 25, 5, 15, 21, 11, 23, 13, 14]" + ] + }, + "execution_count": 802, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np_input = [numpy.random.randint(30) for i in range(10)]\n", + "np_input" + ] + }, + { + "cell_type": "code", + "execution_count": 803, + "metadata": {}, + "outputs": [], + "source": [ + "np2 = NumberPartition(numbers=np_input)\n", + "np_qubo2 = np2.get_qubo_problem()" + ] + }, + { + "cell_type": "code", + "execution_count": 805, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "states kept: 40\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "p = 5;\n", + "q2 = QAOA()\n", + "q2.set_circuit_properties(p=p, \n", + " param_type='standard',\n", + " init_type='custom',\n", + " variational_params_dict=my_submission_function(p))\n", + "q2.compile(np_qubo2)\n", + "q2.optimize()\n", + "q2.results.plot_probabilities()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 [qBraid-SDK]", + "language": "python", + "name": "python3_qbraid_sdk_9j9sjy" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.10" + }, + "vscode": { + "interpreter": { + "hash": "6a636e316c639ea10e1f179fe5f5da9fe18ed93c599b36c2c8b5bde54041450d" + } + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Challenge_notebook.ipynb b/Challenge_notebook.ipynb index a999d81..8bad827 100644 --- a/Challenge_notebook.ipynb +++ b/Challenge_notebook.ipynb @@ -41,7 +41,7 @@ "\n", "Now, our algorithm has to find a set of values $verb|solution| = (x_1, x_2, x_3)$ such that the cost function above is minimised.\n", "\n", - "For this problem, you can verify that solutions $1,1,0$ and $0, 1, 1$ indeed solve the problem!" + "For this problem, you can verify that solutions $1,1,0$ and $0, 0, 1$ indeed solve the problem!" ] }, { @@ -62,6 +62,189 @@ "cell_type": "code", "execution_count": 1, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0mCollecting openqaoa\n", + " Using cached openqaoa-0.0.2-py3-none-any.whl (149 kB)\n", + "Collecting matplotlib<3.5.0,>=3.4.3\n", + " Using cached matplotlib-3.4.3-cp39-cp39-manylinux1_x86_64.whl (10.3 MB)\n", + "Collecting amazon-braket-sdk==1.23.0\n", + " Using cached amazon_braket_sdk-1.23.0-py3-none-any.whl (184 kB)\n", + "Requirement already satisfied: pandas>=1.3.5sympy>=1.10.1 in /home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from openqaoa) (1.4.2)\n", + "Requirement already satisfied: networkx>=2.8 in /home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages (from openqaoa) (2.8.7)\n", + "Requirement already satisfied: docplex>=2.23.1 in 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3.5.1\n", + " Uninstalling matplotlib-3.5.1:\n", + " Successfully uninstalled matplotlib-3.5.1\n", + " Attempting uninstall: httpcore\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: httpcore 0.11.1\n", + " Uninstalling httpcore-0.11.1:\n", + " Successfully uninstalled httpcore-0.11.1\n", + " Attempting uninstall: qiskit-aer\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qiskit-aer 0.10.3\n", + " Uninstalling qiskit-aer-0.10.3:\n", + " Successfully uninstalled qiskit-aer-0.10.3\n", + " Attempting uninstall: httpx\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: httpx 0.15.5\n", + " Uninstalling httpx-0.15.5:\n", + " Successfully uninstalled httpx-0.15.5\n", + " Attempting uninstall: qiskit-ibmq-provider\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qiskit-ibmq-provider 0.18.3\n", + " Uninstalling qiskit-ibmq-provider-0.18.3:\n", + " Successfully uninstalled qiskit-ibmq-provider-0.18.3\n", + " Attempting uninstall: qcs-api-client\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qcs-api-client 0.8.0\n", + " Uninstalling qcs-api-client-0.8.0:\n", + " Successfully uninstalled qcs-api-client-0.8.0\n", + " Attempting uninstall: qiskit\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: qiskit 0.34.2\n", + " Uninstalling qiskit-0.34.2:\n", + " Successfully uninstalled qiskit-0.34.2\n", + " Attempting uninstall: pyquil\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: pyquil 3.0.1\n", + " Uninstalling pyquil-3.0.1:\n", + " Successfully uninstalled pyquil-3.0.1\n", + " Attempting uninstall: amazon-braket-sdk\n", + "\u001b[33m WARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m Found existing installation: amazon-braket-sdk 1.18.0\n", + " Uninstalling amazon-braket-sdk-1.18.0:\n", + " Successfully uninstalled amazon-braket-sdk-1.18.0\n", + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n", + "qbraid 0.1.0.dev0 requires amazon-braket-sdk==1.18.0, but you have amazon-braket-sdk 1.23.0 which is incompatible.\n", + "qbraid 0.1.0.dev0 requires pyquil==3.0.1, but you have pyquil 3.3.2 which is incompatible.\n", + "qbraid 0.1.0.dev0 requires qiskit==0.34.2, but you have qiskit 0.39.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires h11~=0.9.0, but you have h11 0.12.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires httpcore~=0.11.1, but you have httpcore 0.15.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires httpx~=0.15.5, but you have httpx 0.23.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires iso8601~=0.1.14, but you have iso8601 1.1.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires pyjwt~=1.7.1, but you have pyjwt 2.6.0 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires pyquil~=3.0.0; python_version >= \"3.7\", but you have pyquil 3.3.2 which is incompatible.\n", + "cirq-rigetti 0.14.0 requires qcs-api-client~=0.8.0, but you have qcs-api-client 0.21.2 which is incompatible.\u001b[0m\u001b[31m\n", + "\u001b[0mSuccessfully installed amazon-braket-sdk-1.23.0 httpcore-0.15.0 httpx-0.23.0 matplotlib-3.4.3 openqaoa-0.0.2 pyquil-3.3.2 qcs-api-client-0.21.2 qiskit-0.39.0 qiskit-aer-0.11.0 qiskit-ibmq-provider-0.19.2\n", + "\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: Ignoring invalid distribution -iskit-terra (/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/lib/python3.9/site-packages)\u001b[0m\u001b[33m\n", + "\u001b[0m\u001b[33mWARNING: You are using pip version 22.0.4; however, version 22.3 is available.\n", + "You should consider upgrading via the '/home/jovyan/.qbraid/environments/qbraid_sdk_9j9sjy/pyenv/bin/python -m pip install --upgrade pip' command.\u001b[0m\u001b[33m\n", + "\u001b[0mNote: you may need to restart the kernel to use updated packages.\n" + ] + } + ], + "source": [ + "pip install openqaoa" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, "outputs": [], "source": [ "from openqaoa.problems.problem import NumberPartition\n", @@ -78,14 +261,14 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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\n", 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" + "
" ] }, "metadata": {}, @@ -131,7 +314,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -145,7 +328,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -157,12 +340,14 @@ }, { "data": { - "image/png": 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", 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\n", "text/plain": [ - "
" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -174,7 +359,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Yay! Indeed the two states with the highes probabilities are `110` and `110`" + "Yay! Indeed the two states with the highes probabilities are `110` and `001`" ] }, { @@ -193,7 +378,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -211,7 +396,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -224,7 +409,7 @@ "\tgammas: [0.35]" ] }, - "execution_count": 7, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -246,7 +431,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -258,7 +443,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -267,11 +452,11 @@ "Standard Parameterisation:\n", "\tp: 1\n", "Variational Parameters:\n", - "\tbetas: [1.93582059]\n", - "\tgammas: [1.89987175]" + "\tbetas: [1.91961108]\n", + "\tgammas: [1.2588636]" ] }, - "execution_count": 9, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -280,6 +465,49 @@ "q.variate_params" ] }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "# Initialise QAOA\n", + "q = QAOA()\n", + "q.set_circuit_properties(p=2, param_type='standard', init_type='custom', \n", + " variational_params_dict={'betas':[1,1],'gammas':[1,0]})\n", + "q.compile(np_qubo)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "states kept: 8\n" + ] + }, + { + "data": { + "image/png": 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wTLWj7pp17cw7ITl97H4AbtncxlP74eyTq+m1O9u4fWtw8alVGw8/GVyzrp0LZ3Zz3NFVG1ff3c5LJySzx1Sv+cb9bRzVBq+aXE3/cEcbqx4MLpxZtfHgE8G169u5+NRunjusauPKte28cvJ+Zh5bTX+tq50tW7awfv16AKZMmcL48eNZuXIlAKNHj2bevHksW7aMffv28d7T9nHFT9o553n7mTa6auOGje2MH5EsmlDV8f1tbXTtDs4/parj/t3BDRvbuXTOPtoC9idcsWYY503t5uSRVRvX/bSdjpHJS8ZXbSzd2sa2PcF5U6s2NuwKvn5fG5eeVk0/uR+uXDuM80/p5qTnVG18YX07px6XnHFi1catD7Sx68ng3I5ulixZwrhx45gxYwbLli0DYPjw4SxYsICVK1eye/duAObPn8/mzZvZsmULADNnzqS9vZ277roLgAkTJjB16lSWL18OwIgRI5g/fz4rVqxgz549ACxYsICNGzeydetWAGbNmkV3dzfr1q0DYNKkSUyePJkVK1YAMHLkSDo7O1m+fDl79+4FYOHChdxzzz1s374dgDlz5rB3794BjxPAokWLWLt2LTt27ABg7ty5PProo2zYsAGAjo4Ojj/+eFatWgXAmDFjmDt3LrfddhuZSUSwePFiVq9ezc6dOwGYN28eDz30EF1dXUDjfp4cJ8fJcXKcWnmcDiYyG3MEMCIWAB/KzFfV0+8DyMyPHWD9NmBnZh57sHY7OzuzZ9AapeOymxrafiN1XX7WgNcdqv08nD5KklRSRNyZmZ39LWvkOWF3ANMjYmpEHA28CbixT2HTe02eBaxvYD2SJElHjIYdjszMfRFxCXAL0A58NjPXRsSHgZWZeSNwSUS8AngK2Ek/hyIlSZKaUUPPCcvMm4Gb+8z7YK+v39PI95ckSTpSecd8SZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCBhTCIuK1EWFgkyRJGiQDDVZvBNZHxMcj4gWNLEiSJKkVDCiEZebvAKcDPwU+HxHLI+KiiBjV0OokSZKa1IAPMWbmLuArwPXAScBvAasi4l0Nqk2SJKlpDfScsHMi4l+AJcBRwJmZ+RpgLvDexpUnSZLUnIYNcL3XAVdk5tLeMzPz8Yi4cPDLkiRJam4DPRy5tW8Ai4i/AMjM7w56VZIkSU1uoCHs1/uZ95rBLESSJKmVHPRwZES8A/hD4JSI+HGvRaOA7zWyMEmSpGZ2qHPCrgO+CXwMuKzX/Ecz86GGVSVJktTkDhXCMjO7IuKdfRdExPEGMUmSpKdnIHvCzgbuBBKIXssSmNaguiRJkpraQUNYZp5d/z/12SlHkiSpNRzqxPx5B1uemasGtxxJkqTWcKjDkX91kGUJvHwQa5EkSWoZhzoc+avPViGSJEmt5FCHI1+embdGxOv6W56Z/9yYsiRJkprboQ5HLgZuBV7bz7IEDGGSJElPw6EOR/6v+v/fe3bKkSRJag0DenZkRIyNiP8TEasi4s6I+FREjG10cZIkSc1qoA/wvh74OfDbwOvrr7/UqKIkSZKa3aHOCetxUmZ+pNf0RyPijY0oSJIkqRUMdE/YtyLiTRHRVv97A3BLIwuTJElqZoe6RcWj/PKZkX8EfLFe1AbsBv6kkcVJkiQ1q0NdHTnq2SpEkiSplQz0nDAiYgwwHTimZ15mLm1EUZIkSc1uQCEsIn4feA8wGfgR8GJgOT47UpIk6WkZ6In57wHOAO6rnyd5OvBwo4qSJElqdgMNYU9k5hMAETE8M/8TmNm4siRJkprbQM8J2xwRxwFfA74dETuB+xpVlCRJUrMbUAjLzN+qv/xQRPw7cCzwbw2rSpIkqckdztWR84CFVPcN+15mPtmwqiRJkprcQB/g/UHgWmAscALwuYh4fyMLkyRJamYD3RP2FmBur5PzL6e6VcVHG1SXJElSUxvo1ZEP0OsmrcBwYMvglyNJktQaDvXsyCupzgF7BFgbEd+up38d+EHjy5MkSWpOhzocubL+/07gX3rNX9KQaiRJklrEoR7gfW3P1xFxNDCjnlyXmU81sjBJkqRmNtBnR76M6urILiCAKRFxgQ/wliRJenoGenXkXwGvzMx1ABExA/gn4EWNKkySJKmZDfTqyKN6AhhAZt4DHNWYkiRJkprfQPeE3RkRnwG+WE+/hV+etC9JkqTDNNAQdjHwTuDd9fTtwN80pCJJkqQWcMgQFhHtwOrMfAHwicaXJEmS1PwOeU5YZnYD6yLi5GehHkmSpJYw0MORY6jumP8D4LGemZn5mw2pSpIkqckNNIR94Ok0HhGvBj4FtAOfyczL+yz/Y+D3gX3Az4G3ZeZ9T+e9JEmShpJDPTvyGKqT8p8P/AS4JjP3DaTh+lyyq6ieM7kZuCMibszMu3qt9kOgMzMfj4h3AB8H3nj43ZAkSRpaDnVO2LVAJ1UAew3VTVsH6kzg3szckJlPAtcD5/ReITP/PTMfryf/A5h8GO1LkiQNWYc6HDkrM08DiIhrgB8cRtuTgE29pjcD8w+y/oXANw+jfUmSpCHrUCHsFw/pzsx9EdGQIiLid6j2uC0+wPKLgIsAJk6cyJIlSwCYNm0ao0aNYvXq1QCMHTuW2bNns3Rp9UjLYcOGsXDhQlatWsWuXbsA6OzsZNu2bWzaVOXD6dOnM3z4cNasWQPAuHHjOLotedfsbgAe2xdcfXc7F0zv5oRjEoBr1rUz74Tk9LH7AbhlcxtP7YezT66m1+5s4/atwcWnVm08/GRwzbp2LpzZzXFHV21cfXc7L52QzB5TveYb97dxVBu8anI1/cMdbax6MLhwZtXGg08E165v5+JTu3nusKqNK9e288rJ+5l5bDX9ta52tmzZwvr16wGYMmUK48ePZ+XK6r66o0ePZt68eSxbtox9+/bx3tP2ccVP2jnnefuZNrpq44aN7YwfkSyaUNXx/W1tdO0Ozj+lquP+3cENG9u5dM4+2gL2J1yxZhjnTe3m5JFVG9f9tJ2OkclLxldtLN3axrY9wXlTqzY27Aq+fl8bl55WTT+5H65cO4zzT+nmpOdUbXxhfTunHpeccWLVxq0PtLHryeDcjm6WLFnCuHHjmDFjBsuWLQNg+PDhLFiwgJUrV7J7924A5s+fz+bNm9myZQsAM2fOpL29nbvuqo6IT5gwgalTp7J8+XIARowYwfz581mxYgV79uwBYMGCBWzcuJGtW7cCMGvWLLq7u1m3rnqAxKRJk5g8eTIrVqwAYOTIkXR2drJ8+XL27t0LwMKFC7nnnnvYvn07AHPmzGHv3r0DHieARYsWsXbtWnbs2AHA3LlzefTRR9mwYQMAHR0dHH/88axatQqAMWPGMHfuXG677TYyk4hg8eLFrF69mp07dwIwb948HnroIbq6uoDG/Tw5To6T4+Q4tfI4HUxk5oEXRnTzy6shAxgBPF5/nZk5+iCvXQB8KDNfVU+/j+pFH+uz3iuAK4HFmbn9UAV3dnZmz6A1SsdlNzW0/UbquvysAa87VPt5OH2UJKmkiLgzMzv7W3bQPWGZ2f4M3vcOYHpETAW2AG8Czu9T2OnAp4FXDySASZIkNYuBPsD7sNVXUV4C3ALcDXw5M9dGxIcjouf+Yn8JjARuiIgfRcSNjapHkiTpSDLQ+4Q9LZl5M3Bzn3kf7PX1Kxr5/pIkSUeqhu0JkyRJ0oEZwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAQ0NYRHx6ohYFxH3RsRl/SxfFBGrImJfRLy+kbVIkiQdSRoWwiKiHbgKeA0wC3hzRMzqs9r9wFuB6xpVhyRJ0pFoWAPbPhO4NzM3AETE9cA5wF09K2RmV71sfwPrkCRJOuI08nDkJGBTr+nN9TxJkqSW18g9YYMmIi4CLgKYOHEiS5YsAWDatGmMGjWK1atXAzB27Fhmz57N0qVLARg2bBgLFy5k1apV7Nq1C4DOzk62bdvGpk1VPpw+fTrDhw9nzZo1AIwbN46j25J3ze4G4LF9wdV3t3PB9G5OOCYBuGZdO/NOSE4fW+3Au2VzG0/th7NPrqbX7mzj9q3BxadWbTz8ZHDNunYunNnNcUdXbVx9dzsvnZDMHlO95hv3t3FUG7xqcjX9wx1trHowuHBm1caDTwTXrm/n4lO7ee6wqo0r17bzysn7mXlsNf21rna2bNnC+vXrAZgyZQrjx49n5cqVAIwePZp58+axbNky9u3bx3tP28cVP2nnnOftZ9roqo0bNrYzfkSyaEJVx/e3tdG1Ozj/lKqO+3cHN2xs59I5+2gL2J9wxZphnDe1m5NHVm1c99N2OkYmLxlftbF0axvb9gTnTa3a2LAr+Pp9bVx6WjX95H64cu0wzj+lm5OeU7XxhfXtnHpccsaJVRu3PtDGrieDczu6WbJkCePGjWPGjBksW7YMgOHDh7NgwQJWrlzJ7t27AZg/fz6bN29my5YtAMycOZP29nbuuqvaGTthwgSmTp3K8uXLARgxYgTz589nxYoV7NmzB4AFCxawceNGtm7dCsCsWbPo7u5m3bp1AEyaNInJkyezYsUKAEaOHElnZyfLly9n7969ACxcuJB77rmH7du3AzBnzhz27t074HECWLRoEWvXrmXHjh0AzJ07l0cffZQNGzYA0NHRwfHHH8+qVasAGDNmDHPnzuW2224jM4kIFi9ezOrVq9m5cycA8+bN46GHHqKrqwto3M+T4+Q4OU6OUyuP08FEZh5ypacjIhYAH8rMV9XT7wPIzI/1s+7ngW9k5lcO1W5nZ2f2DFqjdFx2U0Pbb6Suy88a8LpDtZ+H00dJkkqKiDszs7O/ZY08HHkHMD0ipkbE0cCbgBsb+H6SJElDRsNCWGbuAy4BbgHuBr6cmWsj4sMR8ZsAEXFGRGwGzgM+HRFrG1WPJEnSkaSh54Rl5s3AzX3mfbDX13cAkxtZgyRJ0pHIO+ZLkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFTCsdAFSo3VcdlPpEp6WrsvPGvC6rdBHSWo27gmTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqwBAmSZJUgCFMkiSpAEOYJElSAYYwSZKkAgxhkiRJBRjCJEmSCjCESZIkFWAIkyRJKsAQJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgowhEmSJBVgCJMkSSrAECZJklSAIUySJKkAQ5gkSVIBhjBJkqQCDGGSJEkFGMIkSZIKMIRJkiQVYAiTJEkqYFjpAiRpoDouu6l0CU9L1+VnHdb6rdJPqdW5J0ySJKkAQ5gkSVIBhjBJkqQCGhrCIuLVEbEuIu6NiMv6WT48Ir5UL18RER2NrEeSJOlI0bAQFhHtwFXAa4BZwJsjYlaf1S4Edmbm84ErgL9oVD2SJElHkkbuCTsTuDczN2Tmk8D1wDl91jkHuLb++ivAr0VENLAmSZKkI0IjQ9gkYFOv6c31vH7Xycx9wCPA2AbWJEmSdEQYEvcJi4iLgIvqyd0Rsa5kPc/QCcCDjWo8jpwDug3r5xHUR2iNfrZCH8F+PmNHUD8b+jl7BLGfQ8PzDrSgkSFsCzCl1/Tkel5/62yOiGHAscCOvg1l5t8Bf9egOp9VEbEyMztL19Fo9rN5tEIfwX42k1boI9jPZtDIw5F3ANMjYmpEHA28Cbixzzo3AhfUX78euDUzs4E1SZIkHREaticsM/dFxCXALUA78NnMXBsRHwZWZuaNwDXAP0TEvcBDVEFNkiSp6TX0nLDMvBm4uc+8D/b6+gngvEbWcARqisOqA2A/m0cr9BHsZzNphT6C/RzywqN/kiRJzz4fWyRJklSAIUySJKkAQ1gBUStdRyO1Qh/BfjaTVugj2M9m0gp9bHaeE1ZYRESz35ajFfoI9rOZtEIfwX42k2bsY0S0Ae2Z+VTf+Zm5v1BZg2pI3DF/qIuIY4CXAT+lepj584F1wHczc0+9zpD+AerVx3uB2TRhH6E1xhJaYzwdy6btZ9OOZ6uMZS8LgT8A3hIR7ZnZDdAsAQzcE/asiIipwOVAAN8HjgFeCjwOXJ2Z3y1Y3qCIiA7gY1TB/nZgOLAI2AN8uhn6CK0xltAa4+lYNs9YQmuMZwuN5SnAWcCvUd1X9CO9lp0LnJiZf1+ovEFlCCsoIhYCr6N6VNO1mbm5cEmDIiKOqe8B19PH36a6Ge/nmqWPfTXrWELrjadj2VyadTybeSwj4iTgHcDbgW7gLmA58FXgz4CbMvPqchUOHg9HPgsi4lRgDnAi1V8u9wJ3ZuayiHiM6uHkp1E9Q7MZdiXvrR9V1Q18j+rD7500QR9bcCyhScfTsWyesYSWHM+mHcvM/BnwwYi4C/gG1V6xxcDfUu0BvK5geYPKPWENVu8+/jSwF1hG9eFwItUu8r/LzA3lqhscEXEC1ZMPvpeZP+5n+YzMvOfZr2xwtcJYQmuMp2P5i+VDfiyhNcazhcYyMjMj4iXAlMz8Uj1/bGbuiIij+p6oP5S5J6zx3gz8LDPfWp9UeSwwmSrZXx8Rl2TmD4pW+My9FfifwE8iYiTVruN/B/6Zqr9XUPV3qGuFsYTWGE/HsnnGElpjPN9Ka4xlAAn8MfCvABHxAeBXI2I58IGCtQ067xPWeHcB+yNiUmY+kZnbMvPOzPww8G3g5VCl/6JVPjMzgQ9TXbVzEXAn8BtUzw1dC2wHiIj2QvUNllYYS2iN8XQsm2csoTXGsyXGsteVj1OAb0fEecA04H8ApwNnlqqtETwc2WAR8Ryqv1BmAKupfljuAe6m+gvm/2Tml2MI3/ckIk4DjgJ+1NOHXruU/xP408z8196XGA9FrTCW0BrjWY/lJ6nG8kc091gOoxrLrOc11VhCa4xnq4wlQESMoLoK9HjgvwG/npkbImIVsDAzHy9a4CAyhD1LIuJFwHyqdD8d+BXgU1TnKzTN8e36L83o9cv7u8Brm+qHpkXGEpp/PCPidKoP+ZOp7rk0hyYdy76abSyhdcezmcayV7AcTXX7jS2Z+cOI+DXgfZn5isIlDipDWIP1XL2Smd11uj8WeCQz9zTDXyw9IuK5wN7M3Ndn/qTM3FKorEHVKmMJLTOeI4HHM3N/fR7RU/XYDtmrynqrA/RRwL7ee396/ZKbkpmbylU4uJp5PFtlLHv1pwPo+Xcj1X3QTgHIzDWl6msEQ1gBzfCh0COq+9OcDTwFjAK2UZ2rcFtm7i1Z27OhmcYSWmM8++njFuAOYEXWdx1vRj3nCvX+Y6EZtt9WHM9mHcseEfFV4BGqm7W+CHgUeCHVLUf2HeSlQ44n5jdIRAyPiOsi4n314atfqJP+6+rdrUNWvTfoE8BuYCOwiurKllcDbypY2qBqhbGE1hjPA/RxOHAu8IZylQ2u/rbZzOzu+aVdb7PHDvVf2q0wnq0ylj0i4qXAMZn5NmB7Zj5IdaXr1c0WwMBbVDTSq6iuyPkZcFW9e/we4BaqD4rLM3NGwfoGw8uodvl/FCCqh62eCHQCl0V1R+dPF6xvsLTCWEJrjOfLaP4+gttsM41nS4xlrz15xwL/HhG/R9U/qC646CpVWyO5J6xxJgH/kJnvpfoBuoDqTr8vAb4D3AdD/nLiNcD2iPij+lyh/VldGn4T8HHglfCLD8ahrPdY/hrNOZbwy/F8d0RMbNLxbIU+Qutts838GdQKv0ug2usO1b3Onkd1S4quqG5R8TbgW6UKayT3hDXONcD4iBhWX7Gyuv7XcwLpHSWLGySbgaupdvv/SkQ8THWvmm1UP0gr6vWG8r15AD4LjAfIzMdozrEkMzdFxN9SfcifERHb+OV4vpYmGM9W6GOtJbZZWuMzqBV+l1BfUDGc6srWPwK2Up2M/wKqRxfdUK66xjGENUhmPglsOsBfJ9up7l0DMCTvWQPV+VDALVE9l208cAwwgepBsv9AdVXLfzl5dCjKzL0RsTkiZgKb619qPX5OE4xlj8z8VkSspjoJ9nnAROCNwOep717dBOPZCn1siW22FT6DWuF3SS9nAqcCCzLzz5rtqvP+eHVkA9R/sfS9tL+d6lEMve8IPGRF9bDcd1J94HUBI4CHgW9k5vJylQ2uXv0cDzxAddLvFuBbmbniYK8dSg6wzfZ7m4qhqhX6CC21zTb9Z1Ar/C7pLSJmAZcBLwaepDrcvAb4QmbeX7K2RjGENUBE/DXViaFLqI5j3571jQIj4sXAmMz8ZrkKn7n6EuI7gR9Q/QV2AtVu5BcA12fmdwqWN2j69LOb6qTfqVQ3ab0uM29thkvD+2yz3waW9tpmXwIc2wTbbNP3EVpqm236z6BW+F3Sn/ocvudTnfd2LvA3mdmU54QZwhogIrqAvwJOotqIxgKbgK8ClwCfzMxrh/IHYUTcCZyTmZt7zZtIdb+ec4F3ZOZ9hcobNAfo50lU5w+dC/xhZnaVqW7wHGCb3Qx8hebZZrto8j5CS22zTf8Z1Aq/S1qdIWyQRcRYqqtyLs/M9RFxFNV5JwuoHqdxETA+M39esMxnLCIuAN4F/C1wa2Zu7LXsfuBFQ72P0Br9bIVtthX62KMVtllo/n620jbbygxhDRARAQzPzCf6zJ8D/GNmzm2Gv1wi4o3AS6lOht1P9ViNJ4ApmXl2M/QRWqOfrbDNtkIfe7TCNgvN389W2mZblSFskEV1R+PNmbmtn2XzgdmZ+dmhfNVHRMwDNmXmzyNiMtW5JidS7TJ/gup8jEciom0onzjaQv1shW226fsILbXNNn0/W2WbbXWGsEEWEf8MHE91tc5K4D+AezJzV8m6BlOvPm4AllPdp+a+zNxZtLBB1oL97KL5t9kumrSP0JLbbNP2s1W22VZnCGuAiBgHLAQWU12pA7Ce6gdpOdWHxRMHePmQUPdxEVUfZ1IdCthI1b8VNEEfoeX62QrbbFP3EVpum23qfrbKNtvKDGGDqD5+33MDwd7zp1P9EC2guuz2AeATmTnk7nR8kD7OoPpAHPJ9BPvZItts0/QR3GabqZ+tss3KENYwB/ohqpfNBh7JzM1D+aTKVugj2M96WVP0sxX6CPazXtYU/WyFPrYyQ9izpP5BiqF6kuhAtEIfwX42k1boI9jPZtIKfWwlhjBJkqQC2koXIEmS1IoMYZIkSQUYwiRJkgowhEk6IkVEd0T8qNe/y+r5n4mIWQ1+7/ER8Y2IWB0Rd0XEzfX8jog4fwCvH9B6klqbJ+ZLOiJFxO7MHFnovT8N3JWZn6qnfyUzfxwRLwP+JDPPPsTrB7SepNbmnjBJQ0pELImIzvrrCyPinoj4QUT8fUT8dT3/xIj4akTcUf/7b/X8D0XEZ+s2NkTEuw/wNicBm3smMvPH9ZeXAy+t98xdWu/xuj0iVtX/XnKA9doj4i/rWn4cEX/QiO+NpKFlWOkCJOkARkTEj3pNfywzv9QzERETgQ8A84BHgVuB1fXiTwFXZOayiDgZuAU4tV72AuBXgVHAuoj428x8qs97XwV8KSIuAb4DfC4zHwAuo9ceroh4DvDrmflEfTfzfwI6+1nvIqqbap4REcOB70XEtzJz4zP9Jkkaugxhko5UezLzhQdZfiZwW2Y+BBARNwAz6mWvAGbVNxsHGB0RPYc2b8rMvcDeiNgOjKfXXi+AzLwlIqYBrwZeA/wwIub0U8NRwF9HxAuB7l7v39crgV+JiNfX08cC06medSipRRnCJDWjNuDFfR9uXIeyvb1mdQPDIuKdwNvreb+RmQ/U4e464LqI+AbVcwl39HmfS4FtwNz6PQ/0MOUA3pWZtzz9LklqNp4TJmmougNYHBFjImIY8Nu9ln0LeFfPRL2n6oAy86rMfGH974GIeHl9qJGIGAWcAtxPddhzVK+XHgv8rH6EzO8C7fX8vuvdArwjIo6q25wREc897B5LairuCZN0pOp7Tti/ZeZlPROZuSUi/hz4AfAQ8J/AI/XidwNXRcSPqT7nlgIXH8Z7v4jqMOM+qj9WP5OZd9QhqjsiVgOfB/4G+GpE/D/AvwGP1a//cZ/1PgV0AKvqZ//9HDj3MOqR1IS8RYWkISsiRmbm7npP2L8An83MfyldlyQNhIcjJQ1lH6r3lq2hOsn9a0WrkaTD4J4wSZKkAtwTJkmSVIAhTJIkqQBDmCRJUgGGMEmSpAIMYZIkSQUYwiRJkgr4v4i0JfT8qwXOAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "q.optimize()\n", + "q.results.plot_probabilities()" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -296,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 771, "metadata": {}, "outputs": [], "source": [ @@ -309,49 +537,31 @@ " of the return of `my_submission_function`\n", " For more details: https://el-openqaoa.readthedocs.io/en/latest/notebooks/05_advanced_parameterization.html\n", " \"\"\"\n", + "\n", + " return { 'betas' : [numpy.cos(0.01*p**2*i) for i in range(p)],\n", + " 'gammas' : [numpy.sin(0.01*p**2*i) for i in range(p)]} \n", " \n", - " return { 'betas' : [numpy.random.randn() for i in range(p)],\n", - " 'gammas' : [numpy.random.randn() for i in range(p)]}" + "# return { 'betas' : [numpy.random.randn() for i in range(p)],\n", + "# 'gammas' : [numpy.random.randn() for i in range(p)]}" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 781, "metadata": {}, "outputs": [], "source": [ - "p = 2\n", + "p = 19\n", "q_submission = QAOA()\n", "q_submission.set_circuit_properties(p=p, \n", " param_type='standard',\n", " init_type='custom',\n", - " variational_params_dict=my_submission_function(2))" + " variational_params_dict=my_submission_function(p))" ] }, { "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'betas': [0.7316421680955091, -0.9978591620001178],\n", - " 'gammas': [0.16723487316407012, -0.6871404307086166]}" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "my_submission_function(2)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, + "execution_count": 782, "metadata": {}, "outputs": [], "source": [ @@ -360,7 +570,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 783, "metadata": {}, "outputs": [], "source": [ @@ -369,17 +579,19 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 784, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -389,7 +601,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 785, "metadata": {}, "outputs": [ { @@ -401,12 +613,14 @@ }, { "data": { - "image/png": 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", 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\n", "text/plain": [ - "
" + "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -414,6 +628,45 @@ "q_submission.results.plot_probabilities()" ] }, + { + "cell_type": "code", + "execution_count": 786, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 1.0683709247372561\n", + "2 2.2791802877427014\n", + "3 2.4959284590109863\n", + "4 0.29180652216310854\n", + "5 0.649046899558327\n", + "6 0.3633647872805429\n", + "7 0.34083938546275905\n", + "8 1.626841536877527\n", + "9 0.3255380752727631\n", + "10 0.17471344504623074\n", + "11 1.6282740535262423\n", + "12 0.6178654498795177\n", + "13 0.9378317673986503\n", + "14 1.0730489157561205\n", + "15 0.3107480634343645\n", + "16 0.6914343701173131\n", + "17 1.2974627779844794\n", + "18 0.9690451822715421\n", + "19 2.5699461160832593\n" + ] + } + ], + "source": [ + "for p in range(1,20):\n", + " q_submission.set_circuit_properties(p=p,param_type='standard',init_type='custom',variational_params_dict=my_submission_function(p))\n", + " q_submission.compile(np_qubo)\n", + " q_submission.optimize()\n", + " print(p,\" \",min(q_submission.results.intermediate['intermediate cost']))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -430,16 +683,16 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 802, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[29, 4, 1, 24, 22, 29, 4, 29, 13, 9]" + "[17, 5, 25, 5, 15, 21, 11, 23, 13, 14]" ] }, - "execution_count": 18, + "execution_count": 802, "metadata": {}, "output_type": "execute_result" } @@ -448,13 +701,67 @@ "np_input = [numpy.random.randint(30) for i in range(10)]\n", "np_input" ] + }, + { + "cell_type": "code", + "execution_count": 803, + "metadata": {}, + "outputs": [], + "source": [ + "np2 = NumberPartition(numbers=np_input)\n", + "np_qubo2 = np2.get_qubo_problem()" + ] + }, + { + "cell_type": "code", + "execution_count": 805, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "states kept: 40\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "p = 5;\n", + "q2 = QAOA()\n", + "q2.set_circuit_properties(p=p, \n", + " param_type='standard',\n", + " init_type='custom',\n", + " variational_params_dict=my_submission_function(p))\n", + "q2.compile(np_qubo2)\n", + "q2.optimize()\n", + "q2.results.plot_probabilities()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.13 ('fallfest_mexico')", + "display_name": "Python 3 [qBraid-SDK]", "language": "python", - "name": "python3" + "name": "python3_qbraid_sdk_9j9sjy" }, "language_info": { "codemirror_mode": { @@ -466,7 +773,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.13" + "version": "3.9.10" }, "vscode": { "interpreter": { diff --git a/README.md b/README.md index 3109b8f..c8519cf 100644 --- a/README.md +++ b/README.md @@ -27,4 +27,8 @@ First, you will need to install OpenQAOA. The simplest way to do that is If you need help, the fastest way for us to get back to you is to jump on [our discord](https://discord.gg/ana76wkKBd). -And remember, OpenQAOA is an opensource package, and as such, we always look for new collaborators :) \ No newline at end of file +And remember, OpenQAOA is an opensource package, and as such, we always look for new collaborators :) + +### Members +- Mariano Uria Valencia marianouriavalencia@gmail.com +- André Obregon wilber.obregon.h@uni.pe \ No newline at end of file