Quantum 101

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Quantum ML Use Cases in Industry: Real-World Applications of Quantum-Enhanced Learning

Table of Contents Introduction Why Industry Is Exploring QML QML in Finance QML in Pharmaceuticals and Healthcare QML in Manufacturing and Logistics QML in Cybersecurity QML in Energy and Materials Science QML...

Developing an End-to-End Quantum Machine Learning Application

Table of Contents Introduction Vision and Use Case Definition Data Pipeline Setup Feature Engineering for Quantum Encoding Quantum Circuit Design Hybrid Model Architecture Training Strategy and Optimization Evaluation Metrics and Baseline Comparison Hardware...

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Hands-On Quantum Machine Learning with PennyLane

Table of Contents Introduction Why PennyLane for QML? Installation and Setup PennyLane Architecture and Philosophy Devices and Backends Constructing Quantum Circuits Encoding Classical Data into Quantum States Variational Quantum Circuits (VQCs) Building a...

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Experimenting with Quantum Machine Learning in Qiskit

Table of Contents Introduction Why Use Qiskit for QML? Qiskit Machine Learning Overview Installing and Setting Up Qiskit ML Qiskit Data Encoding Techniques Feature Map Circuits for Classification Variational Quantum Classifiers...

Software Frameworks for Quantum Machine Learning: Exploring PennyLane, TensorFlow Quantum, and More

Table of Contents Introduction Why Software Frameworks Matter in QML Overview of QML Framework Categories PennyLane: A Hybrid Quantum-Classical Framework Core Features of PennyLane Supported Interfaces and Backends Example Workflow in...

Security in Quantum ML Pipelines: Safeguarding Quantum-Enhanced Intelligence

Table of Contents Introduction Importance of Security in ML Pipelines Quantum ML: New Threat Landscape Attack Surfaces in Quantum ML Systems Adversarial Attacks on Quantum Models Parameter Manipulation in Variational...

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Supersymmetry Basics

Table of Contents Introduction The Motivation for Supersymmetry Fermions and Bosons in Quantum Field Theory The Hierarchy Problem Basics of Supersymmetry (SUSY) Supersymmetry Algebra Superpartners and Supermultiplets Chiral and Vector Supermultiplets Superspace and...

Quantum Anomalies

Table of Contents Introduction Classical Symmetries in Field Theories What Are Anomalies? Noether’s Theorem and Conservation Laws Path Integral and Anomalous Jacobians Chiral Anomalies Example: Axial Anomaly in QED Triangle Diagrams and...

Higgs Mechanism

Table of Contents Introduction The Need for Mass in Gauge Theories Spontaneous Symmetry Breaking The Goldstone Theorem Higgs Field and Its Potential Mexican Hat Potential Classical Field Solution Gauge Symmetry and the...

BRST Quantization

Table of Contents Introduction Motivation for BRST Quantization Gauge Redundancy in Quantum Field Theory Path Integral Formulation and Overcounting Faddeev–Popov Procedure Emergence of Ghost Fields The Need for BRST Symmetry Structure of...

Non-Abelian Gauge Fields

Table of Contents Introduction Gauge Symmetries in Physics Abelian vs Non-Abelian Gauge Theories Lie Groups and Lie Algebras Gauge Fields and Connections Local Gauge Invariance Yang–Mills Theory Field Strength Tensor in Non-Abelian...

Spontaneous Symmetry Breaking

Table of Contents Introduction Symmetry in Physics Types of Symmetries: Global vs Local Concept of Spontaneous Symmetry Breaking (SSB) Classical Example: Mexican Hat Potential Quantum Mechanical Viewpoint Vacuum Structure and Degenerate...

Electroweak Unification

Table of Contents Introduction The Four Fundamental Forces The Goal of Unification Historical Development Gauge Theory Basics The Electroweak Gauge Group: SU(2) × U(1) Gauge Fields and Field Strength Tensors Electroweak Lagrangian...

Asymptotic Freedom

Table of Contents Introduction Historical Background Definition of Asymptotic Freedom Relevance in Quantum Field Theory QED vs QCD: Contrasting Behavior Role of the Beta Function Derivation of QCD Beta Function Physical Interpretation Energy...

Wick’s Theorem

Table of Contents Introduction Motivation and Importance Operator Ordering in Quantum Field Theory Normal Ordering Time Ordering The Need for Wick's Theorem Statement of Wick’s Theorem Contractions of Operators Feynman Propagator as a...

Path Integral Formalism

Table of Contents Introduction Historical Background The Principle of Least Action Motivation for Path Integrals The Transition Amplitude in Quantum Mechanics Deriving the Path Integral Mathematical Form of the Path Integral Path...

Running Coupling Constants

Table of Contents Introduction The Concept of Coupling Constants Static vs Running Couplings Physical Origin of Scale Dependence The Role of Quantum Fluctuations Vacuum Polarization Mathematical Definition of Running Coupling Renormalization Group...

Renormalization Group Theory

Table of Contents Introduction Historical Background The Concept of Renormalization Why Do We Need Renormalization? Regularization Techniques Renormalization in Quantum Field Theory Running Coupling Constants Renormalization Group (RG) Transformations RG Equations and the...