Skip to main content
Quantum Computing:
A gentle introduction for Liberal Arts Institutions
Levi Goldberg, Shun Suzuki, Javier Orduz
x
Search Results:
No results.
☰
Contents
Index
You!
Choose avatar
▻
✔️
You!
😺
👤
👽
🐶
🐼
🌈
Font family
▻
✔️
Open Sans
AaBbCc 123 PreTeXt
Roboto Serif
AaBbCc 123 PreTeXt
Adjust font
▻
Size
12
Smaller
Larger
Width
100
narrower
wider
Weight
400
thinner
heavier
Letter spacing
0
/200
closer
f a r t h e r
Word spacing
0
/50
smaller gap
larger gap
Line Spacing
135
/100
closer
together
further
apart
Light/dark mode
▻
✔️
default
pastel
twilight
dark
midnight
Reading ruler
▻
✔️
none
underline
L-underline
grey bar
light box
sunrise
sunrise underline
Motion by:
✔️
follow the mouse
up/down arrows - not yet
eye tracking - not yet
<
Prev
^
Up
Next
>
🔍
\(\newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \)
Front Matter
Colophon
Author Biography
Dedication
Acknowledgements
1
Overview
1
Basic Concepts of Quantum Computation
1.1
Introduction
1.2
Classical Physics
1.3
Newtonian Mechanics
1.4
Classical Computing
1.5
Vectors and Vector Spaces
1.5.1
Introduction to Vectors
1.5.2
Vector Spaces
1.5.3
Bases
1.5.4
Linear Algebra
1.5.5
Eigenvectors and Eigenvalues
1.6
Linear Algebra in Quantum Computation
1.7
Qubit States
1.7.1
Qubits
1.7.2
Hilbert Space
1.7.3
Bra Vectors and the Inner Product for Quantum Computation
1.7.4
Qubit Measurements
1.8
Computational Bases and the Bloch Sphere
1.8.1
The Bloch Sphere
1.9
Operators
1.9.1
Hermitian Operators
1.9.2
Unitary Operators
1.9.3
Additional Properties and Other
1.10
Systems of Multiple Qubits
1.10.1
Tensor Product
1.10.2
Systems of Multiple Qubits
1.11
Operations in Quantum Computation
1.11.1
Outer Product
1.11.2
Completeness Relation
1.11.3
Inner Product
1.11.4
Diagonalization
1.11.5
Density Operator
1.11.6
The Commutator
2
Gates and Circuits
2.1
Introduction
2.2
Gates
2.2.1
Hadamard gate
2.2.2
Pauli X gate
2.2.3
Pauli Y gate
2.2.4
Pauli Z
2.2.5
Pauli I gate
2.2.6
Phase gate
2.2.7
\(\pi\)
/8 gate
2.2.8
Controled-NOT
2.2.9
Contorolled-U
2.2.10
Contorolled-Z
2.3
Circuits
2.3.1
NOT gate
2.3.2
AND gate
2.3.3
Reversible and Nonreversible gate
2.4
Coding Quantum Circuits
2.4.1
Gates in Qiskit
2.4.1.1
One Qubit Gates
2.4.1.2
Two Qubit Gates
3
Quantum Algorithms
3.1
Introduction
3.2
Grover’s Algorithm
3.3
Shor’s Algorithm
3.3.1
Building Up to the Algorithm
3.3.2
An Example
3.3.3
Shor’s Algorithm
3.3.4
Shor’s Algorithm Restated
Backmatter
References
Index
Colophon
Colophon
Colophon
This book was authored in PreTeXt.
