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

How Shor’s algorithm works

If you remember only one thing about the strategy behind Shor’s algorithm, it should be this: the algorithm examines the repetition within a particular sequence of numbers and uses that repetition to factor the public key.

Let’s take a look at some sequences of numbers. (Once again, the numbers in our examples are laughingly small to ensure that the arithmetic is manageable.) On a rainy day in August, Alice initiates a sensitive conversation with Bob. While Eve does her snooping, she notices Alice sending the public key 15 to Bob. Eve’s goal is to factor 15 into its component parts.

With the help of her computer, Eve chooses a number that’s smaller than 15. As we did in the previous section, we’ll call this smaller number a coprime. As with the previous section’s coprime, this smaller number must have no divisors (other than 1) in common with the public key 15.

In this example, let’s have Eve...