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Learning about Quantum 2.0

A basic introduction to Quantum Technology, and a guide on how to learn more about it. Work in progress! 1

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$$i\hslash \frac{\partial |\psi (t)⟩}{\partial t}=\hat{H}|\psi (t)⟩$$

An Introduction

• Quantum 2.0: A Revolution | Superposition | Entanglement | More Ingredients

• Quantum Computing: Idea | Computing Models | Gate Model | Noise & Errors | Algorithms | Applications | Realization

• Quantum Simulation: Simulate Quantum Systems | Applications | Realization

• Quantum Communication: Teleportation & Cryptography

• Outlook: What to expect | State of the Art

Complements

• Applications: Combinatorial Optimization | Machine Learning | Classical Physics | Breaking RSA | Finance | Condensed-Matter Physics | Quantum Chemistry | Materials Science

• Realization: Entanglement | Circuit Gates | Error Correction | Photonics | Neutral Atoms | Trapped Ions | Superconducting Circuits | Quantum Dots | NV Centers

• Illustration: Bloch Sphere | Evolution of a Qubit | Stabilizer Codes | Bell Inequalities | Birth and Grow of Superpositions

• Computing Models: Adiabatic Quantum Computer | Topological Quantum Computer

Background

• Basics: Fundamental Principles | Correspondence Principle | Uncertainty Principle | Measurements | Angular Momentum | Harmonic Oscillator | Two-Level Systems | Rabi Oscillations

• Advanced: Second Quantization | Environment | Unitary Operators | Trace Preservation | Pauli Operators | Phase of a Qubit | Phase Damping | Hamiltonians

• Technical: Interaction Picture | Rotating Wave Approximation

• Conceptual: Double-Slit Experiment | EPR Experiments | Non-locality & Contextuality | Conterfactuals

• Miscellaneous: Maths for QM | Nobel Prices | Glossary

• Related Subjects: Atomic Physics | Quantum Chemistry | Quantum Many-Body Physics | Group Theory | Combinatorial Optimization

Reviews

• Conferences: IEEE QCE21

• Research: Google Quantum AI

• Applications: Optimization in Industry

• Special Topics: Quantum Kernels | Quantum Generative Models

Learn more

• Syllabus

• Online Resources

• Bibliography

• News

Read also about the Story behind these notes.

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Work in progress…

Note

This site is still under development. Stories may be incomplete or still a draft, the overall structure may change too.

Started as both a personal cheatsheet and an annotated bibliography, these pages are continuously evolving. Visit frequently to watch the progress!