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

Multi-qubit gates

In Chapter 1, New Ways to Think about Bits, the classical AND gate has two input bits but only one output bit. When you deal with qubits, this never happens. In quantum computing, each qubit’s wire goes from the beginning to the very end of its circuit. This rule stems from the reversibility requirement that we described in Chapter 3, Math for Qubits and Quantum Gates.

With a quantum gate, the number of outputs must equal the number of inputs. When two qubits pass through such a gate, the two qubits are affected. This chapter explores gates that deal with two or more qubits. In this section, we’ll describe several commonly used multi-qubit gates. Each of these gates is a building block in the construction of quantum computing algorithms.

CNOT and flipped CNOT gates

A controlled NOT (CNOT) gate involves two qubits. We call one qubit the control qubit and the other the target qubit. The control qubit controls whether the target qubit’s...