Book Image

Quantum Computing Algorithms

By : Barry Burd
5 (1)
Book Image

Quantum Computing Algorithms

5 (1)
By: Barry Burd

Overview of this book

Navigate the quantum computing spectrum with this book, bridging the gap between abstract, math-heavy texts and math-avoidant beginner guides. Unlike intermediate-level books that often leave gaps in comprehension, this all-encompassing guide offers the missing links you need to truly understand the subject. Balancing intuition and rigor, this book empowers you to become a master of quantum algorithms. No longer confined to canned examples, you'll acquire the skills necessary to craft your own quantum code. Quantum Computing Algorithms is organized into four sections to build your expertise progressively. The first section lays the foundation with essential quantum concepts, ensuring that you grasp qubits, their representation, and their transformations. Moving to quantum algorithms, the second section focuses on pivotal algorithms — specifically, quantum key distribution and teleportation. The third section demonstrates the transformative power of algorithms that outpace classical computation and makes way for the fourth section, helping you to expand your horizons by exploring alternative quantum computing models. By the end of this book, quantum algorithms will cease to be mystifying as you make this knowledge your asset and enter a new era of computation, where you have the power to shape the code of reality.
Table of Contents (19 chapters)
Free Chapter
Part 1 Nuts and Bolts
Part 2 Making Qubits Work for You
Part 3 Quantum Computing Algorithms
Part 4 Beyond Gate-Based Quantum Computing

Complex numbers

Much of the work in Shor’s algorithm depends on a matrix known as the QFT. Using the QFT, Eve can find the period of a sequence and use that period to decrypt Bob’s message. The QFT uses complex numbers to perform its magic, so this section covers some facts about complex numbers.

Complex number basics

Imaginary numbers were first described by Girolamo Cardano in 1545. The best-known imaginary number is , also known as i, and sometimes in Python code, j. The worst part of imaginary numbers is their name. If we called them “super numbers” instead of “imaginary numbers,” people wouldn’t be so suspicious of them. It’s true that imaginary numbers don’t arise naturally in day-to-day situations. So, for most people, imaginary numbers don’t exist. But scientists rely on imaginary numbers all the time. Imaginary numbers are very useful.

A complex number is a number with two parts. One of those parts...