Explore Products

Best Sellers

New Releases

Books

Videos

Audiobooks

Free Learning

Essential Mathematics for Quantum Computing

You're reading from Essential Mathematics for Quantum Computing A beginner's guide to just the math you need without needless complexities

Product type Paperback

Published in Apr 2022

Publisher Packt

ISBN-13 9781801073141

Length 252 pages

Edition 1st Edition

Languages

Python

Tools

Scikit-learn

Concepts

Machine Learning

Author (1):

Leonard S. Woody III

View More author details

Table of Contents (20) Chapters

Preface

1. Section 1: Introduction

2. Chapter 1: Superposition with Euclid FREE CHAPTER

3. Chapter 2: The Matrix

4. Section 2: Elementary Linear Algebra

5. Chapter 3: Foundations

6. Chapter 4: Vector Spaces

7. Chapter 5: Using Matrices to Transform Space

8. Section 3: Adding Complexity

9. Chapter 6: Complex Numbers

10. Chapter 7: EigenStuff

11. Chapter 8: Our Space in the Universe

12. Chapter 9: Advanced Concepts

13. Section 4: Appendices

14. Other Books You May Enjoy

Appendix 1: Bra–ket Notation

Operators

1. Appendix 2: Sigma Notation

2. Appendix 3: Trigonometry

3. Appendix 4: Probability

4. Appendix 5: References

Why subscribe?

Sigma

Sigma is the 18^th letter of the Greek alphabet, and we are talking about the capital version, . It signifies a summation, so that:

More generally,

Here are the different parts of sigma notation:

Figure 11.1 – A diagram of sigma notation

Here is an easy example to make the point better:

Variations

You will see shorthand in a lot of quantum computing books, but don't let it throw you. The following are all equivalent:

The rest of the chapter is locked

Register for a free Packt account to unlock a world of extra content!

A free Packt account unlocks extra newsletters, articles, discounted offers, and much more. Start advancing your knowledge today.

Unlock this book and the full library FREE for 7 days

Get unlimited access to 7000+ expert-authored eBooks and videos courses covering every tech area you can think of

Start free trial

Renews at €18.99/month. Cancel anytime

Authors (1)

Leonard S. Woody III

Leonard S. Woody III

Leonard S. Woody III is a senior consultant with 20 years of experience explaining complex subjects to software development clients. For the last 3 years, he has worked at Microsoft, most currently as a program manager for Azure Quantum. He was awarded a BS in computer science and a BS in physics from the University of Virginia. He attained his MS in software engineering from George Mason University. Woody lives in Northern Virginia with his wife and four children. His biggest love is spending time with his family.

See other products by Leonard S. Woody III

Personalised recommendations for you

Based on your interests and search pattern

Modern Computer Vision with PyTorch

Modern Computer Vision with PyTorch

This book provides a hands-on approach to solving over 30 prominent real-world computer vision problems using PyTorch 2.x on actual datasets. Here you'll learn to build a neural network from scratch and optimize hyperparameters, perform image classification, multi-object detection, segmentation, and more. You'll also explore facial expression manipulation and combining CV with NLP and RL techniques, build generative AI applications, and take your model to production on AWS. By the end of this book, you'll master modern NN architectures and confidently solve real-world CV problems.

Jun 2024 24h 52m

Data Governance Handbook

Data Governance Handbook

This book provides a highly focused view of real business outcomes powered by data governance, that resonate with non-data executives such as CFOs and CEOs. You'll also find useful insights into how to implement data governance initiatives.

May 2024 13h 8m

Data Engineering with Databricks Cookbook

Data Engineering with Databricks Cookbook

This book shows you how to use Apache Spark, Delta Lake, and Databricks to build data pipelines, manage and transform data, optimize performance, and more. Additionally, you'll implement DataOps and DevOps practices, and orchestrate data workflows.

May 2024 14h 36m

Azure Data Engineer Associate Certification Guide

Azure Data Engineer Associate Certification Guide

Unlock the power of Azure data engineering with this certification guide, elevating your skills in data processing, storage, and security with the help of practical insights, hands-on exercises, and the latest advancements.

May 2024 18h 16m

Microsoft Power BI Cookbook

Microsoft Power BI Cookbook

Microsoft Power BI is the most sought-after platform for BI professionals' visualization needs. Explore the latest Power BI features, future AI enhancements, and integration with other Power Platform tools via new recipes in this updated edition.

Jul 2024 19h 56m

Python Data Cleaning Cookbook

Python Data Cleaning Cookbook

The book shows you how to clean, wrangle, and view data from multiple perspectives, including dataset and column attributes. You will cover common and not-so-common challenges that are faced while cleaning messy data for complex situations and learn to manipulate data to get it down to a form that can be useful for making the right decisions.

May 2024 16h 12m

Microsoft Azure AI Fundamentals AI-900 Exam Guide

Microsoft Azure AI Fundamentals AI-900 Exam Guide

This AI-900 study guide will help you prepare and practice for the certification exam. You'll delve into AI workloads, ML principles, computer vision, NLP, knowledge mining, and generative AI using Azure cloud services.

May 2024 9h 36m

Using Stable Diffusion with Python

Using Stable Diffusion with Python

This book shows you how to use Python to control Stable Diffusion and generate high-quality images. In addition to covering the basic usage of the diffusers package, the book provides solutions for extending the package for more advanced purposes.

Jun 2024 11h 44m

Getting Started with DuckDB

Getting Started with DuckDB

This hands-on book teaches you to analyze large datasets with blazing speed and ease. You will learn how to use DuckDB to quickly load, query, transform, analyze, and visualize data effectively through a series of practical examples.

Jun 2024 12h 44m

Databricks Certified Associate Developer for Apache Spark Using Python

Databricks Certified Associate Developer for Apache Spark Using Python

This guide gets you ready for certification with expert-backed content, key exam concepts, and topic reviews. Additionally, you'll be able to make the most of Apache Spark 3.0 to modernize workloads and more using specific tools and techniques.