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

Bits and logic gates

A classical computer codes information as sequences of bits, each bit having one of two values – 0 or 1. Of course, if you looked inside the circuitry, you wouldn’t see things shaped like ovals for 0s and vertical lines for 1s. Instead, you might observe electrical voltages. Any voltage below 0.8 volts might stand for a 0 bit, and any voltage over 2.0 volts might stand for 1 bit. A voltage between 0.8 and 2.0 would be treated as an error condition.

As bits flow from one part of the computer to another, they pass through the circuitry’s gates. A gate is a piece of hardware (often made of transistors) that operates on bits. Each kind of gate is named after the operation that it performs.

Let’s see a few examples:

  • A NOT gate performs a NOT operation. The gate outputs 1 if and only if the gate’s input is not 1:
Figure 1.1 – Behavior of the NOT gate

Figure 1.1 – Behavior of the NOT gate

  • An AND gate performs the...