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


Using classical communications, any information that you send over a network can be intercepted and read by a malicious agent. This includes meaningful information such as your credit card number, but it also includes any randomly generated key that you use to encrypt the meaningful information. One way to achieve secure message transmission is for both the sender and the receiver to have information without ever transmitting that information over a network. We know of no way to do this with credit card numbers or any other meaningful information. But, using the BB84 algorithm, the sender and receiver can cooperatively create a random key that’s known only to the two of them. This random key is never transmitted along network lines.

The BB84 algorithm depends on one important fact: you can’t clone a qubit. If you get a qubit in some arbitrary state, , you can’t measure the values of {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"\"><mstyle mathsize=\"16px\"><mi>&#x3B1;</mi></mstyle></math>"} and {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"\"><mstyle mathsize=\"16px\"><mi>&#x3B2;</mi></mstyle></math>"} to end up with two qubits in the same state. But what if you...