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README.md
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# Introduction to Quantum Computing
# Introduction to Quantum Computing - Lecture notes
Lecuture note for the lecture "Introduction to Quantum Computing" by Dominique Unruh at RWTH Aachen.
\ No newline at end of file
Lecture note for the lecture "Introduction to Quantum Computing" by Dominique Unruh at RWTH Aachen.
_book/Introduction-to-Quantum-Computing.epub
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<h1 class="unnumbered">Preface</h1>
<p>These are the lecuture notes for the “Introduction to Quantum Computing” lecture held by Dominique Unruh in the summer term 2024. The lecture notes are not meant to be fully self-containt, but are an addition to the written notes and the lecture recordings.</p>
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<h1 class="unnumbered">Welcome</h1>
<p>These are the lecture notes for the “Introduction to Quantum Computing” lecture held by Dominique Unruh in the summer term 2024. The lecture notes are updated throughout the semester and should be viewed as an addition to the written notes and the lecture recordings.</p>
<p>If you prefer a <code>.pdf</code> or <code>.epub</code> file, there is a download available at the top left corner. Please note, that these files are autogenerated.</p>
<p>If you spot an error or have any suggestions, please send them to Jannik Hellenkamp.</p>
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<p>In a classical computer the information is stored in <em>bits</em> which can either have the state <span class="math inline">\(0\)</span> <strong>or</strong> the state <span class="math inline">\(1\)</span>. These bits can be manipulated through different operations and we can look at these bits and read them, without interfering with the system or changing any states.</p>
<p>In a quantum computer the information is stored in a <em>qubit</em> which is in a superposition <strong>between</strong> the state <span class="math inline">\(0\)</span> and <span class="math inline">\(1\)</span>. Just as with classical computers, we can construct variables from these qubits to store bigger numbers. For example a 64-<em>qu</em>bit integer would be described by 64 qubits is in a superposition between <span class="math inline">\(0\)</span> and <span class="math inline">\(2^{64}-1\)</span>.</p>
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# Preface {.unnumbered}
# Welcome {.unnumbered}
These are the lecuture notes for the "Introduction to Quantum Computing" lecture held by Dominique Unruh in the summer term 2024. The lecture notes are not meant to be fully self-containt, but are an addition to the written notes and the lecture recordings.
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# Introduction
This is a test:
::: {.definition #def-example}
## Quantum State
A quantum state is a vector $\psi \in \mathbb{C}^n$ with $\sqrt{\sum |\psi|^2} = 1$
:::
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# (Quantum) Basics
# Quantum Basics
## Double slit experiment
This section will be updated later on, since there is quite a lot of graphical stuff.
## What is a quantum computer?
To start into the topic of quantum computing and to understand the differences from classical computers, we first need to look at some of the basics of such classical computers.
In a classical computer the information is stored in *bits* which can either have the state $0$ **or** the state $1$. We can look at these bits and read them, without interfering with the system or changing any states.
In a classical computer the information is stored in *bits* which can either have the state $0$ **or** the state $1$. These bits can be manipulated through different operations and we can look at these bits and read them, without interfering with the system or changing any states.
In a quantum computer the information is stored in a *qubit* which is in a superposition **between** the state $0$ and $1$. Just as with classical computers, we can construct variables from these qubits to store bigger numbers. For example a 64-*qu*bit integer would be described by 64 qubits is in a superposition between $0$ and $2^{64}-1$.
## Quantum States
::: {.definition #def-example}
In a quantum comuputer the information is stored in a *qubit* which is in a superposition **between** the state $0$ and $1$. Just as with classical computers, we can consturct varibales from these qubits to store bigger numbers. For example a 64-*qu*bit integer would be described by 64 qubits is in a superposition between $0$ and $2^{64}-1$.
## Quantum State
A quantum state is a vector $\ket{\psi} \in \mathbb{C}^n$ with $\sqrt{\sum |\psi|^2} = 1$
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# References {.unnumbered}
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# Summary
In summary, this book has no content whatsoever.
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