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

Gates and circuits for Grover’s algorithm

Qiskit’s PhaseOracle and Grover classes provide turnkey solutions to complicated problems. Turnkey solutions can get results quickly and painlessly, but solutions of this kind have limitations. Turnkey solutions seldom apply to problems that have unusual constraints, and unusual constraints pop up often in real life. What’s more, when you apply a turnkey solution, you gain little or no insight about the way you solved the problem.

So, in this section, we will drill down into the circuitry to implement Grover’s algorithm. We will focus on satisfiability because it applies to so many kinds of problems.

Gates for the oracle

In Chapter 7, we introduced a circuit to demonstrate phase kickback. I’ve copied a drawing of the circuit here:

Figure 8.26 – The target kicks the change back to its source

Figure 8.26 – The target kicks the change back to its source

Phase kickback isn’t limited to gates with two qubits. Figure 8.27 contains a three...