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

\[% https://latex.wikia.org/wiki/List_of_LaTeX_symbols % https://www.overleaf.com/learn/latex/Main_Page % % latex commands for quantum mechanics: bra & kets \newcommand{\bra}[1]{\left<#1\right|} \newcommand{\ket}[1]{\left|#1\right>} \newcommand{\bk}[2]{\left<#1\middle|#2\right>} \newcommand{\bke}[3]{\left<#1\middle|#2\middle|#3\right>} % % general shortcuts \newcommand{\bm}[1]{\boldsymbol{#1}} % bold math \newcommand{\super}[2]{#1 {}^{#2}} % superscript \newcommand{\half}{\frac{1}{2}} % % hats together with subscripts or superscript (e.g. for angular momentum) \newcommand{\hatb}[1]{\bm{\hat{#1}}} % hat + bold \newcommand{\hatsub}[2]{\hat{{#1}_{#2}}} % hat + subscript \newcommand{\hatsup}[2]{\super{\hat{#1}}{#2}} % hat + superscript \newcommand{\hatsubsup}[3]{\super{\hat{#1}}{#3}_{#2}} % hat + sub + superscript % % Pauli operators \newcommand{\pauliX}{\hatsubsup{\sigma}{X}{}} \newcommand{\pauliY}{\hatsubsup{\sigma}{Y}{}} \newcommand{\pauliZ}{\hatsubsup{\sigma}{Z}{}} \newcommand{\pauliP}{\hatsubsup{\sigma}{+}{}} \newcommand{\pauliM}{\hatsubsup{\sigma}{-}{}} \newcommand{\pauliPM}{\hatsubsup{\sigma}{\pm}{}} % % derivates \newcommand{\odv}[2]{\frac{\textrm{d} #1}{\textrm{d} #2}} \newcommand{\pdv}[2]{\frac{\partial #1}{\partial #2}}\]

\[i \hbar \pdv{\ket{\psi(t)}}{t} = \hat{H} \ket{\psi(t)}\]

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¶

Read also about the Story behind these notes.

1: 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!