Book Image

Dancing with Python

By : Robert S. Sutor
Book Image

Dancing with Python

By: Robert S. Sutor

Overview of this book

Dancing with Python helps you learn Python and quantum computing in a practical way. It will help you explore how to work with numbers, strings, collections, iterators, and files. The book goes beyond functions and classes and teaches you to use Python and Qiskit to create gates and circuits for classical and quantum computing. Learn how quantum extends traditional techniques using the Grover Search Algorithm and the code that implements it. Dive into some advanced and widely used applications of Python and revisit strings with more sophisticated tools, such as regular expressions and basic natural language processing (NLP). The final chapters introduce you to data analysis, visualizations, and supervised and unsupervised machine learning. By the end of the book, you will be proficient in programming the latest and most powerful quantum computers, the Pythonic way.
Table of Contents (29 chapters)
Part I: Getting to Know Python
PART II: Algorithms and Circuits
PART III: Advanced Features and Libraries
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Appendix C: The Complete UniPoly Class
Appendix D: The Complete Guitar Class Hierarchy
Appendix F: Production Notes

11.4 Inversion about the mean

Suppose I have four data points and their mean:

data = [3, 1, 2, 5]
mean = float(sum(data)) / len(data)

I show these values in the bar chart on the left-hand side of Figure 11.6.

Inversion about the mean for four data points
Figure 11.6: Inversion about the mean for four data points

On the right-hand side, I’ve inverted the data about the mean. Geometrically, if a value x is above the mean with difference d from the mean, the inverted value is the mean minus |d|. Look at the fourth bar. The value is well above the mean. The inverted value on the right is below the mean by the same amount.

For a value below the mean, again look at the difference d from the mean. The inverted value is the mean plus |d|. The second bar is a good example of this. Given a ...