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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...
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Quantum Nearest-Neighbor Models: Leveraging Quantum Metrics for Pattern Recognition

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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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Feature Maps and Quantum Kernels: Enhancing Machine Learning with Quantum Embeddings

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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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Quantum Memory Systems: Storing Quantum Information Reliably

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Table of Contents Introduction Why Quantum Memory Is Essential Classical vs Quantum Memory Criteria for a Quantum Memory Types of Quantum Memory Atomic Ensemble-Based Memory Rare-Earth-Doped Crystals NV Centers in Diamond Quantum Dots...

Cryogenics and Quantum Refrigeration: Enabling Low-Temperature Quantum Technologies

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Table of Contents Introduction Importance of Low Temperatures in Quantum Technologies Cryogenic Requirements for Quantum Systems Principles of Cryogenics Temperature Scales and Units Dilution Refrigeration and Sub-Kelvin Cooling Pulse Tube Cryocoolers Adiabatic...

Scalable Fabrication of Quantum Chips: Engineering the Future of Quantum Hardware

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Table of Contents Introduction Motivation for Scalable Quantum Fabrication Overview of Quantum Chip Architectures Material Platforms for Quantum Chips Superconducting Qubits and Fabrication Methods Trapped Ion Microfabricated Chips Semiconductor Quantum Dots...

Real-Time Quantum Feedback Systems: Controlling Quantum Systems on the Fly

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Table of Contents Introduction Fundamentals of Quantum Feedback Why Real-Time Feedback Matters Classical vs Quantum Feedback Mechanisms Measurement Backaction in Quantum Systems Continuous and Weak Measurement Theory Components of Real-Time Feedback...

Quantum Control and Feedback: Steering Quantum Systems with Precision

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Table of Contents Introduction Fundamentals of Quantum Control Open vs Closed-Loop Control Coherent and Measurement-Based Control Quantum Feedback: Motivation and Applications Quantum Measurement Backaction Quantum Trajectories and Stochastic Dynamics Adaptive Quantum Control Optimal...

Quantum Lithography: Surpassing Classical Resolution Limits

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Table of Contents Introduction Basics of Classical Lithography The Diffraction Limit and Rayleigh Criterion Motivation for Quantum Lithography NOON States and Phase Superresolution Quantum Interference and Multiphoton Absorption Quantum Entanglement in...

Atomic Interferometry: Coherent Control of Matter Waves

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Table of Contents Introduction Origins and Historical Context Atom Interferometry vs Optical Interferometry Matter Waves and de Broglie Interference Beam Splitters and Mirrors for Atoms Raman Transitions and Bragg Diffraction Types...

Quantum Radar and Imaging: Sensing Beyond Classical Limits

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Table of Contents Introduction Classical Radar and Its Limitations Principles of Quantum Radar Quantum Illumination Entangled vs Classical Signal Performance Quantum Advantage in Noisy Environments Signal-to-Noise Ratio and Error Probabilities Continuous-Variable and...

Quantum Accelerometers and Gravimeters: Precision Inertial and Gravitational Sensing

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Table of Contents Introduction Classical vs Quantum Inertial Sensors Principles of Atom Interferometry Matter-Wave Interference and Phase Accumulation Raman Transitions and Beam Splitters for Atoms Atom Interferometer Architectures Quantum Accelerometers: Operating...

Quantum Clocks and Precision Timekeeping: Measuring Time at the Quantum Frontier

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Table of Contents Introduction Fundamentals of Timekeeping Limitations of Classical Clocks Role of Quantum Mechanics in Time Measurement Atomic Clocks: Principles and Types Optical vs Microwave Atomic Clocks Laser Cooling and...

Quantum Metrology and Sensing: Precision at the Quantum Limit

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Table of Contents Introduction Classical vs Quantum Metrology The Standard Quantum Limit (SQL) The Heisenberg Limit Quantum Resources for Enhanced Sensing Quantum Interference and Phase Estimation Role of Entanglement in Metrology Squeezed...

Quantum Non-Demolition Measurements: Observing Without Destroying

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Table of Contents Introduction What Is a Quantum Non-Demolition (QND) Measurement? Motivation and Applications Quantum Measurement Backaction Conditions for QND Measurements Commutativity and Conserved Observables QND vs Projective and Weak Measurements QND...
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