{"id":5472,"date":"2024-05-17T14:38:07","date_gmt":"2024-05-17T12:38:07","guid":{"rendered":"https:\/\/www.sequoia-iao.de\/?page_id=5472"},"modified":"2025-09-01T15:26:36","modified_gmt":"2025-09-01T13:26:36","slug":"software-tools","status":"publish","type":"page","link":"https:\/\/www.kqcbw.de\/en\/software-tools\/","title":{"rendered":"Software Tools"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"5472\" class=\"elementor elementor-5472\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-939e57b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"939e57b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8e898f7\" data-id=\"8e898f7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2b40082 elementor-widget elementor-widget-heading\" data-id=\"2b40082\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Software Tools<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-60d0b73 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"60d0b73\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5ca28ad\" data-id=\"5ca28ad\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0e6b21f elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"0e6b21f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 380 380\"><defs><style>.cls-1{fill:#e24329;}.cls-2{fill:#fc6d26;}.cls-3{fill:#fca326;}<\/style><\/defs><g id=\"LOGO\"><path class=\"cls-1\" d=\"M282.83,170.73l-.27-.69-26.14-68.22a6.81,6.81,0,0,0-2.69-3.24,7,7,0,0,0-8,.43,7,7,0,0,0-2.32,3.52l-17.65,54H154.29l-17.65-54A6.86,6.86,0,0,0,134.32,99a7,7,0,0,0-8-.43,6.87,6.87,0,0,0-2.69,3.24L97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82,19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91,40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-2\" d=\"M282.83,170.73l-.27-.69a88.3,88.3,0,0,0-35.15,15.8L190,229.25c19.55,14.79,36.57,27.64,36.57,27.64l40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-3\" d=\"M153.43,256.89l19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91S209.55,244,190,229.25C170.45,244,153.43,256.89,153.43,256.89Z\"><\/path><path class=\"cls-2\" d=\"M132.58,185.84A88.19,88.19,0,0,0,97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82s17-12.85,36.57-27.64Z\"><\/path><\/g><\/svg>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tAutomatic Feature Map Generation \t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tFraunhofer IPA\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1d2b66e elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"1d2b66e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Im Demonstrator wird die Generierung einer <strong>Quanten Feature Map<\/strong> f\u00fcr ein einfaches Klassifizierungs- oder Regressionsproblem gezeigt. Hier werden Techniken aus dem Reinforcement Learning verwendet und mittels einer simplen Visualisierung der Entscheidungsvorgang des KI-Agent dargestellt. Die Ergebnisse zeigen ein auf das Problem zugeschnittenes Feature Map Design.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-c489869 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c489869\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-e66568b\" data-id=\"e66568b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-86f3b72 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"86f3b72\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/gitlab.cc-asp.fraunhofer.de\/fraunhofer_iao_qc\/sequoia_end-to-end\/automatic-feature-map-generation\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the demonstrator in the Fraunhofer GitLab<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-8b2eb1e\" data-id=\"8b2eb1e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-06598d2 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"06598d2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/mybinder.org\/v2\/git\/https%3A%2F%2Fgitlab.cc-asp.fraunhofer.de%2Ffraunhofer_iao_qc%2Fsequoia_end-to-end%2Fautomatic-feature-map-generation\/HEAD\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the interactive Jupyter Notebook<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ef4542 elementor-widget elementor-widget-spacer\" data-id=\"6ef4542\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2d57156 elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"2d57156\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<a class=\"elementor-cta\" href=\"https:\/\/gitlab.cc-asp.fraunhofer.de\/fraunhofer_iao_qc\/sequoia_end-to-end\/pdes-solutions-with-quantum-convolutional-neural-networks\" target=\"_blank\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 380 380\"><defs><style>.cls-1{fill:#e24329;}.cls-2{fill:#fc6d26;}.cls-3{fill:#fca326;}<\/style><\/defs><g id=\"LOGO\"><path class=\"cls-1\" d=\"M282.83,170.73l-.27-.69-26.14-68.22a6.81,6.81,0,0,0-2.69-3.24,7,7,0,0,0-8,.43,7,7,0,0,0-2.32,3.52l-17.65,54H154.29l-17.65-54A6.86,6.86,0,0,0,134.32,99a7,7,0,0,0-8-.43,6.87,6.87,0,0,0-2.69,3.24L97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82,19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91,40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-2\" d=\"M282.83,170.73l-.27-.69a88.3,88.3,0,0,0-35.15,15.8L190,229.25c19.55,14.79,36.57,27.64,36.57,27.64l40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-3\" d=\"M153.43,256.89l19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91S209.55,244,190,229.25C170.45,244,153.43,256.89,153.43,256.89Z\"><\/path><path class=\"cls-2\" d=\"M132.58,185.84A88.19,88.19,0,0,0,97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82s17-12.85,36.57-27.64Z\"><\/path><\/g><\/svg>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tPredicting PDEs Solutions with Quantum Convolutional Neural Networks\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tHigh-Performance Computing Center HLRS, University of Stuttgart\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8e9314b elementor-widget elementor-widget-text-editor\" data-id=\"8e9314b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>In this demonstration, we introduce a quantum Neural Network (QNN) designed to tackle a 2D partial differential equation (PDE) problem. The demonstrator consists of two parts.\nIn the first part of the notebook, we elucidate the motivation of using QNN to solve PDEs and delve into the theoretical aspect of the QNN. The notebook provides a step-by-step guide on employing variational quantum circuits (VQC) to construct the QNN and the associated training process. The concept of Physics Informed Quantum Neural Network (PIQNN) is also introduced in this section to expedite convergence. The second part focuses on applying the QNN and PIQNN to solve the Poisson equation as the target PDE. Execution takes place on both a quantum simulator and the IBM quantum system at Ehningen. Results and insights derived from these experiments are presented and discussed to provide an understanding of the QNN's performance and the differences between QNN and PIQNN.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-2dd6d9c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2dd6d9c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-6e2e023\" data-id=\"6e2e023\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eca3b6b elementor-align-center elementor-widget elementor-widget-button\" data-id=\"eca3b6b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/gitlab.cc-asp.fraunhofer.de\/fraunhofer_iao_qc\/sequoia_end-to-end\/pdes-solutions-with-quantum-convolutional-neural-networks\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the demonstrator in the Fraunhofer GitLab<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-2c40090\" data-id=\"2c40090\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a49a656 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"a49a656\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/mybinder.org\/v2\/git\/https%3A%2F%2Fgitlab.cc-asp.fraunhofer.de%2Ffraunhofer_iao_qc%2Fsequoia_end-to-end%2Fpdes-solutions-with-quantum-convolutional-neural-networks\/HEAD\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the interactive Jupyter Notebook<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-1ad25c4 elementor-widget elementor-widget-spacer\" data-id=\"1ad25c4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-f0841a2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f0841a2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-111fd2f\" data-id=\"111fd2f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-71f77e0 elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"71f77e0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 380 380\"><defs><style>.cls-1{fill:#e24329;}.cls-2{fill:#fc6d26;}.cls-3{fill:#fca326;}<\/style><\/defs><g id=\"LOGO\"><path class=\"cls-1\" d=\"M282.83,170.73l-.27-.69-26.14-68.22a6.81,6.81,0,0,0-2.69-3.24,7,7,0,0,0-8,.43,7,7,0,0,0-2.32,3.52l-17.65,54H154.29l-17.65-54A6.86,6.86,0,0,0,134.32,99a7,7,0,0,0-8-.43,6.87,6.87,0,0,0-2.69,3.24L97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82,19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91,40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-2\" d=\"M282.83,170.73l-.27-.69a88.3,88.3,0,0,0-35.15,15.8L190,229.25c19.55,14.79,36.57,27.64,36.57,27.64l40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-3\" d=\"M153.43,256.89l19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91S209.55,244,190,229.25C170.45,244,153.43,256.89,153.43,256.89Z\"><\/path><path class=\"cls-2\" d=\"M132.58,185.84A88.19,88.19,0,0,0,97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82s17-12.85,36.57-27.64Z\"><\/path><\/g><\/svg>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tError Mitigation by Zero Noise Extrapolation\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tFraunhofer IAF\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b0961c3 elementor-widget elementor-widget-text-editor\" data-id=\"b0961c3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span class=\"TextRun SCXW1882868 BCX8\" lang=\"DE-DE\" xml:lang=\"DE-DE\" data-contrast=\"none\"><span class=\"NormalTextRun SCXW1882868 BCX8\">Strategies for error mitigation are of crucial importance for the further development of quantum computing. Zero-noise extrapolation (ZNE) is a widely used method. In this demonstrator, we introduce \"Inverted-Circuit Zero-Noise Extrapolation (IC-ZNE)\", which provides a new approach to error estimation and mitigation. The code can also be used to easily adapt ZNE to an algorithm.<\/span><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-377704b elementor-align-center elementor-widget elementor-widget-button\" data-id=\"377704b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/gitlab.cc-asp.fraunhofer.de\/fraunhofer_iao_qc\/sequoia_end-to-end\/error-mitigation-by-zero-noise-extrapolation\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the demonstrator in the Fraunhofer GitLab<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-65e72b6 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"65e72b6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/mybinder.org\/v2\/git\/https%3A%2F%2Fgitlab.cc-asp.fraunhofer.de%2Ffraunhofer_iao_qc%2Fsequoia_end-to-end%2Ferror-mitigation-by-zero-noise-extrapolation\/HEAD\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the interactive Jupyter Notebook<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-24fffb2\" data-id=\"24fffb2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-579a173 elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"579a173\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 380 380\"><defs><style>.cls-1{fill:#e24329;}.cls-2{fill:#fc6d26;}.cls-3{fill:#fca326;}<\/style><\/defs><g id=\"LOGO\"><path class=\"cls-1\" d=\"M282.83,170.73l-.27-.69-26.14-68.22a6.81,6.81,0,0,0-2.69-3.24,7,7,0,0,0-8,.43,7,7,0,0,0-2.32,3.52l-17.65,54H154.29l-17.65-54A6.86,6.86,0,0,0,134.32,99a7,7,0,0,0-8-.43,6.87,6.87,0,0,0-2.69,3.24L97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82,19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91,40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-2\" d=\"M282.83,170.73l-.27-.69a88.3,88.3,0,0,0-35.15,15.8L190,229.25c19.55,14.79,36.57,27.64,36.57,27.64l40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-3\" d=\"M153.43,256.89l19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91S209.55,244,190,229.25C170.45,244,153.43,256.89,153.43,256.89Z\"><\/path><path class=\"cls-2\" d=\"M132.58,185.84A88.19,88.19,0,0,0,97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82s17-12.85,36.57-27.64Z\"><\/path><\/g><\/svg>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tZero-Noise Extrapolation \t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tFraunhofer IAF\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-317b7cd elementor-widget elementor-widget-text-editor\" data-id=\"317b7cd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p class=\"translation-block\">The idea of zero-noise extrapolation (ZNE for short) is based on the assumption that it is possible to increase the strength of the noise in a quantum circuit, e.g. by inserting additional gates. If the strength of the noise is changed several times (single, triple, quintuple error strength), a fit can then be performed through the measured points. This extrapolates to the error-free case. Since the main errors are caused by faulty CNOT gates, the simplest method is to replace each CNOT gate with 3 (or even 5) CNOT gates and thus amplify the error by a factor of 3 (or 5). In the error-free case, this would not change the circuit. The Python library developed in the project is used for all algorithms in which expected values are calculated. In the Jupyter Notebook example, we demonstrate the application of the ZNE for the HHL algorithm with 4 qubits. This algorithm solves a two-dimensional, linear system of equations. The function \ud835\udc39 we are interested in is the norm of the corresponding solution.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e08e215 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"e08e215\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/github.com\/SEQUOIA-Demonstrators\/zne_sequoia\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the Jupyter Notebook on GitHub<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fb9392e elementor-align-center elementor-widget elementor-widget-button\" data-id=\"fb9392e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/mybinder.org\/v2\/gh\/SEQUOIA-Demonstrators\/zne_sequoia\/HEAD\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the interactive Jupyter Notebook<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-7717b27 elementor-widget elementor-widget-spacer\" data-id=\"7717b27\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6addf2a elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"6addf2a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 380 380\"><defs><style>.cls-1{fill:#e24329;}.cls-2{fill:#fc6d26;}.cls-3{fill:#fca326;}<\/style><\/defs><g id=\"LOGO\"><path class=\"cls-1\" d=\"M282.83,170.73l-.27-.69-26.14-68.22a6.81,6.81,0,0,0-2.69-3.24,7,7,0,0,0-8,.43,7,7,0,0,0-2.32,3.52l-17.65,54H154.29l-17.65-54A6.86,6.86,0,0,0,134.32,99a7,7,0,0,0-8-.43,6.87,6.87,0,0,0-2.69,3.24L97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82,19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91,40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-2\" d=\"M282.83,170.73l-.27-.69a88.3,88.3,0,0,0-35.15,15.8L190,229.25c19.55,14.79,36.57,27.64,36.57,27.64l40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-3\" d=\"M153.43,256.89l19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91S209.55,244,190,229.25C170.45,244,153.43,256.89,153.43,256.89Z\"><\/path><path class=\"cls-2\" d=\"M132.58,185.84A88.19,88.19,0,0,0,97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82s17-12.85,36.57-27.64Z\"><\/path><\/g><\/svg>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tError Mitigation Service\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tInstitute of Architecture of Application Systems (IAAS), University of Stuttgart\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5031d38 elementor-widget elementor-widget-text-editor\" data-id=\"5031d38\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p class=\"translation-block\">The Error Mitigation Service was developed as part of the SEQUOIA project and can be used to reduce the effects of errors in noisy measurement results of a quantum computer. It is available as an open source project on GitHub. This service enables the creation and management of calibration and mitigation data for various QPU vendors. It also allows users to improve their execution results based on newly generated or existing mitigation data. The Error Mitigation Service currently implements several methods, such as Mthree or TPNM for IBMQ and IonQ. It also supports error mitigation for results obtained on quantum simulators with emulated noise. Users can choose between full noise models and noise models containing only readout errors.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c136067 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"c136067\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/github.com\/UST-QuAntiL\/error-mitigation-service\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the service on GitHub<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-81dc6d6 elementor-widget elementor-widget-spacer\" data-id=\"81dc6d6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-86c9733 elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"86c9733\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<a class=\"elementor-cta\" href=\"https:\/\/www.youtube.com\/watch?v=VQUz9Sj1r4M&#038;t=1s\" target=\"_blank\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-video\"><\/i>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tQuantum Application Lifecycle Management (QuAntiL): Modularised interface architecture for workflow-based execution of quantum software \t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tThis work was developed in close cooperation between the Institute of Architecture of Application Systems (IAAS) at the University of Stuttgart and the University of T\u00fcbingen with the PlanQK project.\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-412a104 elementor-widget elementor-widget-spacer\" data-id=\"412a104\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-423498e elementor-cta--skin-classic elementor-animated-content elementor-bg-transform elementor-bg-transform-zoom-in elementor-widget elementor-widget-call-to-action\" data-id=\"423498e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-content-item elementor-cta__content-item elementor-icon-wrapper elementor-cta__icon elementor-view-default\">\n\t\t\t\t\t\t<div class=\"elementor-icon\">\n\t\t\t\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewbox=\"0 0 380 380\"><defs><style>.cls-1{fill:#e24329;}.cls-2{fill:#fc6d26;}.cls-3{fill:#fca326;}<\/style><\/defs><g id=\"LOGO\"><path class=\"cls-1\" d=\"M282.83,170.73l-.27-.69-26.14-68.22a6.81,6.81,0,0,0-2.69-3.24,7,7,0,0,0-8,.43,7,7,0,0,0-2.32,3.52l-17.65,54H154.29l-17.65-54A6.86,6.86,0,0,0,134.32,99a7,7,0,0,0-8-.43,6.87,6.87,0,0,0-2.69,3.24L97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82,19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91,40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-2\" d=\"M282.83,170.73l-.27-.69a88.3,88.3,0,0,0-35.15,15.8L190,229.25c19.55,14.79,36.57,27.64,36.57,27.64l40.06-30,.1-.08A48.56,48.56,0,0,0,282.83,170.73Z\"><\/path><path class=\"cls-3\" d=\"M153.43,256.89l19.7,14.91,12,9.06a8.07,8.07,0,0,0,9.76,0l12-9.06,19.7-14.91S209.55,244,190,229.25C170.45,244,153.43,256.89,153.43,256.89Z\"><\/path><path class=\"cls-2\" d=\"M132.58,185.84A88.19,88.19,0,0,0,97.44,170l-.26.69a48.54,48.54,0,0,0,16.1,56.1l.09.07.24.17,39.82,29.82s17-12.85,36.57-27.64Z\"><\/path><\/g><\/svg>\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tADMM-Surrogate\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h5 class=\"elementor-cta__description elementor-cta__content-item elementor-content-item\">\n\t\t\t\t\t\tHigh-Performance Computing Center HLRS, University of Stuttgart\t\t\t\t\t<\/h5>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9f75d85 elementor-widget elementor-widget-text-editor\" data-id=\"9f75d85\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Mixed-integer linear programs or mixed-binary linear programs are an important optimization problem and interesting object for quantum computing. This notebook shows how a mixed-binary problem can be optimized with the help of a quantum computer. Two different optimization strategies are implemented; a strategy inspired by classical ADMM algorithms and another one using a Kriging surrogate model on top. Both of them use the VQE algorithm to optimize the binary problem. They can be used and tested with different ansatz functions and optimizers for VQE. Currently mixed-binary equality constraints and intervals for the continuous variables are supported.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-b7884b3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b7884b3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-a75584f\" data-id=\"a75584f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-10b1f3c elementor-align-center elementor-widget elementor-widget-button\" data-id=\"10b1f3c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/github.com\/SEQUOIA-Demonstrators\/ADMM\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the Jupyter Notebook on GitHub<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f6a7101\" data-id=\"f6a7101\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2a81196 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"2a81196\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-grow\" href=\"https:\/\/mybinder.org\/v2\/gh\/SEQUOIA-Demonstrators\/ADMM\/HEAD\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">To the interactive Jupyter Notebook<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-bcefb4a elementor-widget elementor-widget-spacer\" data-id=\"bcefb4a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cc9e710 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cc9e710\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7d09fe9\" data-id=\"7d09fe9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e9dd4e1 elementor-widget elementor-widget-text-editor\" data-id=\"e9dd4e1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4><span style=\"color: #ffffff;\">Disclaimer<\/span><\/h4><p><span style=\"color: #ffffff;\">The interactive demonstrator notebooks have been licensed under the Apache licence (version 2.0). The files may only be used in accordance with the licence. A copy of the licence can be downloaded from <a style=\"color: #ffffff;\" href=\"https:\/\/www.apache.org\/licenses\/LICENSE-2.0\" target=\"_blank\" rel=\"noopener\">http:\/\/www.apache.org\/licenses\/LICENSE-2.0<\/a> Except as required by applicable law or agreed to in writing, software distributed under this licence is distributed on an \"AS IS\" basis, without warranties or conditions of any kind, either express or implied. See the licence for the specific rights and restrictions associated with it.<\/span><br \/><span style=\"color: #ffffff;\">This is a research prototype. Liability for loss of profit, loss of production, business interruption, loss of use, loss of data and information, financing costs and other financial and consequential damage is excluded, except in cases of gross negligence, intent and personal injury.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Software Tools Automatische Generierung von Quanten Feature Maps Fraunhofer IPA Im Demonstrator wird die Generierung einer Quanten Feature Map f\u00fcr ein einfaches Klassifizierungs- oder Regressionsproblem gezeigt. Hier werden Techniken aus dem Reinforcement Learning verwendet und mittels einer simplen Visualisierung der Entscheidungsvorgang des KI-Agent dargestellt. Die Ergebnisse zeigen ein auf das Problem zugeschnittenes Feature Map Design. &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.kqcbw.de\/en\/software-tools\/\" class=\"more-link\">Read more<span class=\"screen-reader-text\"> &#8222;Software Tools&#8220;<\/span><\/a><\/p>","protected":false},"author":2,"featured_media":9842,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5472","page","type-page","status-publish","has-post-thumbnail","hentry"],"featured_media_urls":{"thumbnail":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-150x150.jpg",150,150,true],"medium":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-300x117.jpg",300,117,true],"medium_large":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled.jpg",768,301,false],"large":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-1024x401.jpg",950,372,true],"1536x1536":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-1536x602.jpg",1536,602,true],"2048x2048":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-2048x802.jpg",2048,802,true],"trp-custom-language-flag":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-18x7.jpg",18,7,true],"inspiro-featured-image":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-2000x783.jpg",2000,783,true],"inspiro-loop":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-950x320.jpg",950,320,true],"inspiro-loop@2x":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-1900x640.jpg",1900,640,true],"portfolio_item-thumbnail":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-600x400.jpg",600,400,true],"portfolio_item-thumbnail@2x":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-1200x800.jpg",1200,800,true],"portfolio_item-masonry":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-600x235.jpg",600,235,true],"portfolio_item-masonry@2x":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-1200x470.jpg",1200,470,true],"portfolio_item-thumbnail_cinema":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-800x335.jpg",800,335,true],"portfolio_item-thumbnail_portrait":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-600x900.jpg",600,900,true],"portfolio_item-thumbnail_portrait@2x":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-1200x1003.jpg",1200,1003,true],"portfolio_item-thumbnail_square":["https:\/\/www.kqcbw.de\/wp-content\/uploads\/2025\/08\/Banner-Wide_ohne_Schrift-scaled-800x800.jpg",800,800,true]},"_links":{"self":[{"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/pages\/5472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/comments?post=5472"}],"version-history":[{"count":62,"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/pages\/5472\/revisions"}],"predecessor-version":[{"id":10240,"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/pages\/5472\/revisions\/10240"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/media\/9842"}],"wp:attachment":[{"href":"https:\/\/www.kqcbw.de\/en\/wp-json\/wp\/v2\/media?parent=5472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}