Sign In Start Free Trial
Account

Add to playlist

Create a Playlist

Modal Close icon
You need to login to use this feature.
  • Book Overview & Buying Dancing with Qubits
  • Table Of Contents Toc
  • Feedback & Rating feedback
Dancing with Qubits

Dancing with Qubits

By : Robert S. Sutor
5 (24)
close
close
Dancing with Qubits

Dancing with Qubits

5 (24)
By: Robert S. Sutor

Overview of this book

Dancing with Qubits, Second Edition, is a comprehensive quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. A full description of classical computing and the mathematical underpinnings of quantum computing follows, helping you better understand concepts such as superposition, entanglement, and interference. Next up are circuits and algorithms, both basic and sophisticated, as well as a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments may affect you. This new edition is updated throughout with more than 100 new exercises and includes new chapters on NISQ algorithms and quantum machine learning. Understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is explained thoroughly and with helpful examples, leaving you with a solid foundation of knowledge in quantum computing that will help you pursue and leverage quantum-led technologies.
Table of Contents (26 chapters)
close
close
1
I Foundations
8
II Quantum Computing
14
III Advanced Topics
18
Afterword
22
Other Books You May Enjoy
23
References
24
Index
Appendices

4.4 From Cartesian to polar coordinates

In Cartesian coordinates, we need two numbers to specify a point. If we restrict ourselves to the unit circle, each point is uniquely determined by one number, the angle φ from the positive x-axis given in radians such that 0 ≤ φ < 2π. We lost the need for a second number by insisting that the point has distance 1 from the origin.

More generally, let P = (a, b) be a nonzero point (that is, a point that is not the origin) in R2. Let r = √(a2 + b2) be the distance from P to the origin. The point

Displayed math

is on the unit circle. There is a unique angle φ 0 ≤ φ < 2π that corresponds to Q. With r, we can uniquely identify

Displayed math
 Figure 4.22: Polar and Cartesian coordinates

(r, φ) are called the polar coordinates of P. You may sometimes see the Greek letter ρ (rho) used instead of r. ρ`italic polar coordinates...

Unlock full access

Continue reading for free

A Packt free trial gives you instant online access to our library of over 7000 practical eBooks and videos, constantly updated with the latest in tech

Create a Note

Modal Close icon
You need to login to use this feature.
notes
bookmark search playlist download font-size

Change the font size

margin-width

Change margin width

day-mode

Change background colour

Close icon Search
Country selected

Close icon Your notes and bookmarks

Delete Bookmark

Modal Close icon
Are you sure you want to delete it?
Cancel
Yes, Delete

Delete Note

Modal Close icon
Are you sure you want to delete it?
Cancel
Yes, Delete

Edit Note

Modal Close icon
Write a note (max 255 characters)
Cancel
Update Note

Confirmation

Modal Close icon
claim successful

Buy this book with your credits?

Modal Close icon
Are you sure you want to buy this book with one of your credits?
Close
YES, BUY