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Quantum Support Vector Machines: Leveraging Quantum Kernels for Pattern Classification

Table of Contents Introduction Classical Support Vector Machines (SVMs) Motivation for Quantum SVMs Quantum Kernels in SVMs Quantum Feature Mapping Quantum Kernel Matrix Estimation SVM Decision Function with Quantum Kernels Training Quantum...

Variational Quantum Classifiers: A Hybrid Approach to Quantum Machine Learning

Table of Contents Introduction What Are Variational Quantum Classifiers (VQCs)? Why Use Variational Circuits for Classification? Key Components of a VQC Quantum Data Encoding Ansatz Design for Classification Measurement and Output...

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Software Licensing in Quantum Ecosystems: Navigating Open-Source and Commercial Collaboration

Table of Contents Introduction Importance of Licensing in Quantum Software Common Open-Source Licenses in Quantum Projects MIT License: Simplicity and Freedom Apache 2.0: Modern, Enterprise-Friendly Licensing BSD 3-Clause and 2-Clause...

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Documentation and Community Guidelines: Building Inclusive and Usable Quantum Projects

Table of Contents Introduction Why Documentation Matters in Quantum Software Types of Documentation in Quantum Projects Getting Started Guides and Quickstarts API Documentation and Autogenerated References Tutorials and Example Notebooks Inline...

Quantum Code Reviews: Ensuring Quality and Reliability in Quantum Software Development

Table of Contents Introduction Why Code Reviews Are Crucial in Quantum Computing Unique Aspects of Reviewing Quantum Code Setting Up a Review Process for Quantum Teams Reviewer Responsibilities and...

Real-Time Quantum Experiments with Qiskit Runtime: Accelerating Hybrid Workflows on IBM QPUs

Table of Contents Introduction What Is Qiskit Runtime? Benefits of Qiskit Runtime for Real-Time Experiments Architectural Overview Supported Quantum Algorithms and Use Cases Runtime Programs: Prebuilt and Custom Setting Up Access...

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Writing Your First Quantum Circuit with Qiskit

Table of Contents Introduction What Is a Quantum Circuit? Prerequisites for Running a Circuit Installing and Importing Qiskit Building a Basic Quantum Circuit Commonly Used Quantum Gates Applying Quantum Gates Step-by-Step Visualizing...

Installing Qiskit and IBM Quantum Lab: A Step-by-Step Guide

Table of Contents Introduction What Is Qiskit? What Is IBM Quantum Lab? System Requirements Installing Qiskit Locally5.1. Using pip5.2. Creating a Virtual Environment (Optional)5.3. Verifying the Installation Installing Optional Qiskit...

Introduction to Quantum Programming Languages

Table of Contents Introduction What Is a Quantum Programming Language? Classical vs Quantum Programming Why Specialized Languages Are Needed High-Level vs Low-Level Quantum Languages Criteria for Evaluating Quantum Languages Qiskit (IBM) Cirq...

Design and Simulate a Quantum Experimental Setup: A Comprehensive Guide

Table of Contents Introduction Why Design and Simulate Quantum Setups? Key Components of a Quantum Experiment Selecting a Quantum System (Qubits) Quantum Hardware Platforms and Choices Designing the Experimental Layout Control...

International Quantum Labs Overview: Leading Institutions in Global Quantum Research

Table of Contents Introduction North America2.1. United States2.2. Canada Europe3.1. Germany3.2. United Kingdom3.3. France3.4. Netherlands3.5. Switzerland3.6. Other European Countries Asia-Pacific4.1. China4.2. Japan4.3. South Korea4.4. Singapore4.5. Australia Middle East and...

Open Hardware Initiatives in Quantum Computing: Democratizing Access and Innovation

Table of Contents Introduction Importance of Open Hardware in Quantum Technology Definition and Scope of Open Hardware Benefits of Open Quantum Hardware Comparison with Proprietary Hardware Models Core Components of...

Modular Quantum Devices: Architectures for Scalable and Distributed Quantum Computing

Table of Contents Introduction Motivation for Modular Quantum Architectures Defining Modular Quantum Devices Benefits of Modularity in Quantum Systems Challenges in Scaling Monolithic Quantum Devices Key Components of Modular Quantum...

Quantum Repeater Architectures: Bridging Long-Distance Quantum Communication

Table of Contents Introduction Why Quantum Repeaters Are Necessary Challenges in Long-Distance Quantum Communication Basic Structure of a Quantum Repeater First-Generation Repeaters: Entanglement Purification + Swapping Second-Generation Repeaters: Error Correction-Assisted Third-Generation...

Quantum Networking Hardware: Building the Quantum Internet

Table of Contents Introduction Overview of Quantum Networks Core Components of Quantum Networking Hardware Quantum Nodes: Processors and Memory Single-Photon Sources Entangled Photon Pair Sources Quantum Repeaters Quantum Channels: Fiber and Free-Space Quantum...

Noise Characterization and Mitigation in Quantum Systems

Table of Contents Introduction Importance of Noise Characterization Types of Noise in Quantum Systems Markovian vs Non-Markovian Noise Relaxation (T₁) and Dephasing (T₂) Crosstalk and Control Errors Gate and Readout Errors Noise...

Cross-Entropy Benchmarking (XEB): Verifying Quantum Supremacy and Circuit Fidelity

Table of Contents Introduction Motivation for Cross-Entropy Benchmarking (XEB) Principles of Cross-Entropy Benchmarking Classical vs Quantum Sampling XEB Fidelity Metric Mathematical Definition Practical Implementation Steps Random Quantum Circuit Generation Circuit Depth and Qubit...

Quantum Benchmarking Methods: Evaluating the Performance of Quantum Devices

Table of Contents Introduction What Is Quantum Benchmarking? Need for Benchmarking in Quantum Computing Key Metrics in Quantum Benchmarking Gate Fidelity and Process Fidelity Coherence Times: T₁ and T₂ Quantum Volume Randomized...