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

Math for Qubits and Quantum Gates

In the previous chapter, we examined the idea of a qubit with its elusive behavior and its probabilistic nature. That chapter mentioned states other than |0, |1, and a halfway state but doesn’t describe any details about such states.

To understand the full range of states a qubit can have, we need some math, and this chapter lays the mathematical groundwork. We’ll start this chapter by replacing the intuitive halfway terminology with numbers. We’ll show how those numbers apply to a qubit’s state. We will send qubits through quantum computer circuits and compute the outcome using matrices.

Using our tools to represent circuits with matrices, we will discover the kinds of operations that a circuit can perform. We’ll combine these operations using matrix arithmetic. To bring these concepts into crystal clear focus, we’ll write code to run on a quantum computer.

We’ll cover the following...