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

7.1 Objects

As we saw in section 5.6, Python does not have a built-in object that implements polynomials like

Example of a polynomial

You can import them from sympy or other packages, but we implement a simple version of them in this chapter.

In this example polynomial, x is an indeterminate, and it is the only indeterminate that appears in the polynomial. We call such a polynomial univariate (“one variable”).

We evaluate a polynomial by substituting a value for x and performing the algebra. For this reason, we can think of a polynomial as a function.

def p(x):
    return x**3 - 5*x**2 + 7*x + 1

[p(x) for x in range(-2, 4)]
[-41, -12, 1, 4, 3, 4]
Plot of the univariate polynomial x**3 - 5 * x**2 + 7 * x + 1
Figure 7.1: Plot of the univariate polynomial x3 – 5x2 + 7x + 1

In our definition of p, there are four coefficients: 1, –5, 7, and 1. These are the explicit or implicit numbers ...