Essential Mathematics for Quantum Computing: A beginner's guide to just the math you need without needless complexities

Woody, Leonard S., III

  • 出版商: Packt Publishing
  • 出版日期: 2022-04-22
  • 售價: $1,850
  • 貴賓價: 9.5$1,758
  • 語言: 英文
  • 頁數: 252
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1801073147
  • ISBN-13: 9781801073141
  • 相關分類: 量子計算
  • 立即出貨 (庫存=1)

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商品描述

Demystify quantum computing by learning the math it is built on

Key Features

  • Build a solid mathematical foundation to get started with developing powerful quantum solutions
  • Understand linear algebra, calculus, matrices, complex numbers, vector spaces, and other concepts essential for quantum computing
  • Learn the math needed to understand how quantum algorithms function

Book Description

Quantum computing is an exciting subject that offers hope to solve the world's most complex problems at a quicker pace. It is being used quite widely in different spheres of technology, including cybersecurity, finance, and many more, but its concepts, such as superposition, are often misunderstood because engineers may not know the math to understand them. This book will teach the requisite math concepts in an intuitive way and connect them to principles in quantum computing.

Starting with the most basic of concepts, 2D vectors that are just line segments in space, you'll move on to tackle matrix multiplication using an instinctive method. Linearity is the major theme throughout the book and since quantum mechanics is a linear theory, you'll see how they go hand in hand. As you advance, you'll understand intrinsically what a vector is and how to transform vectors with matrices and operators. You'll also see how complex numbers make their voices heard and understand the probability behind it all.

It's all here, in writing you can understand. This is not a stuffy math book with definitions, axioms, theorems, and so on. This book meets you where you're at and guides you to where you need to be for quantum computing. Already know some of this stuff? No problem! The book is componentized, so you can learn just the parts you want. And with tons of exercises and their answers, you'll get all the practice you need.

What you will learn

  • Operate on vectors (qubits) with matrices (gates)
  • Define linear combinations and linear independence
  • Understand vector spaces and their basis sets
  • Rotate, reflect, and project vectors with matrices
  • Realize the connection between complex numbers and the Bloch sphere
  • Determine whether a matrix is invertible and find its eigenvalues
  • Probabilistically determine the measurement of a qubit
  • Tie it all together with bra-ket notation

Who this book is for

If you want to learn quantum computing but are unsure of the math involved, this book is for you. If you've taken high school math, you'll easily understand the topics covered. And even if you haven't, the book will give you a refresher on topics such as trigonometry, matrices, and vectors. This book will help you gain the confidence to fully understand quantum computation without losing you in the process!

商品描述(中文翻譯)

解密量子計算:學習其基礎數學

主要特點:

- 建立堅實的數學基礎,開始開發強大的量子解決方案
- 理解線性代數、微積分、矩陣、複數、向量空間等對量子計算至關重要的概念
- 學習理解量子算法運作所需的數學知識

書籍描述:

量子計算是一個令人興奮的主題,它希望以更快的速度解決世界上最複雜的問題。它在不同的技術領域中被廣泛應用,包括網絡安全、金融等,但其概念(如超位置)常常被誤解,因為工程師可能不了解相關的數學知識。本書將以直觀的方式教授必要的數學概念,並將其與量子計算原理相結合。

從最基本的概念開始,即二維向量,它們只是空間中的線段,然後您將使用一種直觀的方法來處理矩陣乘法。線性是本書的主題,因為量子力學是一種線性理論,您將看到它們如何緊密相連。隨著進一步的學習,您將內在地理解向量是什麼,以及如何使用矩陣和運算符來轉換向量。您還將了解複數的作用及其背後的概率。

這本書以易於理解的文字呈現。這不是一本充斥著定義、公理、定理等的數學書。本書將根據您的需求引導您,並在您需要的地方提供幫助。已經了解一些內容?沒問題!本書是模塊化的,因此您可以只學習您想要的部分。並且通過大量的練習和答案,您將獲得所需的所有實踐機會。

您將學到什麼:

- 使用矩陣(門)對向量(量子位)進行操作
- 定義線性組合和線性獨立性
- 理解向量空間及其基底集合
- 使用矩陣旋轉、反射和投影向量
- 了解複數與布洛赫球之間的聯繫
- 確定矩陣是否可逆並找到其特徵值
- 概率性地確定量子位的測量
- 用bra-ket符號將所有內容結合起來

本書適合對量子計算感興趣但對所涉及的數學知識感到不確定的讀者。如果您已經學過高中數學,您將輕鬆理解所涵蓋的主題。即使您沒有學過,本書也將為您提供有關三角函數、矩陣和向量等主題的複習。本書將幫助您在不迷失自己的情況下,增強對量子計算的理解能力!

目錄大綱

1. Superposition with Euclid
2. The Matrix
3. Foundations
4. Vector Spaces
5. Using Matrices to Transform Space
6. Complex Numbers
7. Eigenstuff
8. Our Space in the Universe
9. Advanced Concepts
10. Appendix 1 - Bra-ket Notation
11. Appendix 2 - Sigma Notation
12. Appendix 3 - Trigonometry
13. Appendix 4 - Probability
14. Appendix 5 - References

目錄大綱(中文翻譯)

1. 歐幾里得的超級位置
2. 矩陣
3. 基礎
4. 向量空間
5. 使用矩陣來轉換空間
6. 複數
7. 特徵值
8. 我們在宇宙中的空間
9. 進階概念
10. 附錄1 - 布拉-凱特符號
11. 附錄2 - 西格瑪符號
12. 附錄3 - 三角學
13. 附錄4 - 機率
14. 附錄5 - 參考資料