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

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

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

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

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

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

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

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

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

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...

Delayed Choice Quantum Eraser: Retrocausality and Quantum Information

Table of Contents Introduction Double-Slit Experiment and Quantum Interference Complementarity and Which-Path Information Wheeler’s Delayed Choice Experiment Concept of the Quantum Eraser Delayed Choice Quantum Eraser: The Core Idea The Scully–Drühl...

Bell Test Experiments: Probing the Foundations of Quantum Mechanics

Table of Contents Introduction The Einstein–Podolsky–Rosen (EPR) Paradox Local Realism and Hidden Variable Theories Bell’s Theorem: No Local Hidden Variables Bell Inequalities: CHSH and Others Quantum Predictions vs Classical Bounds Experimental...

Quantum Process Tomography: Characterizing Quantum Operations

Table of Contents Introduction What Is Quantum Process Tomography (QPT)? Motivation and Applications Quantum Operations and Quantum Channels Kraus Representation and Superoperators The Choi–Jamiołkowski Isomorphism Process Matrix (Chi Matrix) Representation Steps in...

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