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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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Accessing Quantum Cloud APIs: Connecting to Quantum Computers Remotely

Table of Contents Introduction What Are Quantum Cloud APIs? Why Use Cloud-Based Quantum Platforms? Major Quantum Cloud Providers IBM Quantum and Qiskit Runtime Amazon Braket API and SDK Microsoft Azure Quantum...

Quantum DevOps and Deployment: Building Robust Pipelines for Quantum Software Delivery

Table of Contents Introduction What Is Quantum DevOps? Why DevOps Is Relevant in Quantum Computing Challenges Unique to Quantum Deployment Quantum Software Delivery Lifecycle Version Control for Quantum Projects Continuous Integration...

Quantum Software Architecture Patterns: Designing Scalable and Maintainable Quantum Applications

Table of Contents Introduction Why Software Architecture Matters in Quantum Computing Hybrid Quantum-Classical Architecture Pattern Layered Architecture for Quantum Applications Functional Decomposition of Quantum Workflows Variational Algorithm Pattern Data Encoding and...

Quantum Software Engineering Lifecycle: Building Reliable Quantum Applications from Design to Deployment

Table of Contents Introduction What Is Quantum Software Engineering? Key Differences from Classical Software Development Quantum Software Development Lifecycle (QSDL) Phase 1: Requirement Analysis Phase 2: Algorithm Selection and Feasibility...

Memory Management in Quantum Systems: Managing Qubits and Quantum State Space

Table of Contents Introduction What Is Memory in Quantum Computing? Classical vs Quantum Memory Quantum State Space and Hilbert Space Size Physical Qubits vs Logical Qubits Memory Usage in Quantum...

Qubit Routing and Compilation: Optimizing Quantum Circuits for Real Hardware

Table of Contents Introduction What Is Qubit Routing? The Need for Compilation in Quantum Computing Logical vs Physical Qubit Mapping Coupling Constraints in Hardware Overview of Routing Algorithms SWAP Insertion Strategies Routing...

Connectivity Graphs and Constraints: Modeling Hardware Limitations in Quantum Circuits

Table of Contents Introduction What Is a Connectivity Graph? Why Connectivity Constraints Matter Qubit Coupling in Real Quantum Hardware Representing Hardware with Graphs Types of Hardware Topologies IBM’s Grid and Coupling...

Mapping Circuits to Hardware: Adapting Quantum Algorithms for Physical Architectures

Table of Contents Introduction What Is Quantum Circuit Mapping? Why Mapping Matters for Real Devices Qubit Connectivity Constraints Coupling Maps and Hardware Topologies Gate Fidelity and Error Awareness Role of SWAP...

Exploring Quantum Cost Metrics: Quantifying Resource Use in Quantum Algorithms

Table of Contents Introduction What Are Quantum Cost Metrics? Importance of Cost Estimation in Quantum Computing Common Quantum Cost Metrics Gate Count and Depth Qubit Count T-count and Clifford Count Circuit Width...

Implementing QAOA in Qiskit: A Practical Guide to Solving Combinatorial Optimization Problems

Table of Contents Introduction What Is QAOA in Qiskit? Problem Formulation: MaxCut as a QUBO Constructing the Cost Hamiltonian The Mixer Hamiltonian Building the QAOA Circuit in Qiskit Choosing Optimizers Using QAOA...

Parameterized Quantum Circuits (PQCs): The Building Blocks of Hybrid Quantum Algorithms

Table of Contents Introduction What Are Parameterized Quantum Circuits? Why Parameterization Is Useful Mathematical Foundation PQCs in Hybrid Quantum-Classical Algorithms PQCs and the Variational Principle Basic Structure of a PQC Types of...

Quantum Chemistry with VQE: Simulating Molecular Ground States on Quantum Computers

Table of Contents Introduction Why Quantum Chemistry Needs Quantum Computing Overview of VQE for Molecular Systems Mapping Molecules to Qubits Second Quantization and Fermionic Operators Jordan-Wigner and Bravyi-Kitaev Transforms Molecular Hamiltonian...