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

Teleportation versus cloning

In Chapter 5, we showed that a qubit can’t be cloned. That is, if you start with a qubit in a certain state, you can’t use that qubit to make a second qubit that’s in the very same state. But in this chapter, Alice starts out with a qubit in a certain state, and Bob ends up with a qubit in that same state. What’s going on here?

The trick in teleportation is that Alice measures her qubit. She destroys her qubit’s superposition and sacrifices the qubit’s original state to Bob. You can see this measurement in the fourth-from-last gate in Figure 6.8. Without a destructive act on Alice’s qubit, the transfer of state would be impossible.

To bring this concept home, let’s revisit the equations in Chapter 5 and find out where that chapter’s No-Cloning Theorem turns into this chapter’s Yes-Teleporting-Possibility Theorem.

Let’s start with a capsule summary of the reasoning in Chapter...