Book Image

Quantum Computing in Practice with Qiskit® and IBM Quantum Experience®

By : Hassi Norlen
5 (1)
Book Image

Quantum Computing in Practice with Qiskit® and IBM Quantum Experience®

5 (1)
By: Hassi Norlen

Overview of this book

IBM Quantum Experience® is a leading platform for programming quantum computers and implementing quantum solutions directly on the cloud. This book will help you get up to speed with programming quantum computers and provide solutions to the most common problems and challenges. You’ll start with a high-level overview of IBM Quantum Experience® and Qiskit®, where you will perform the installation while writing some basic quantum programs. This introduction puts less emphasis on the theoretical framework and more emphasis on recent developments such as Shor’s algorithm and Grover’s algorithm. Next, you’ll delve into Qiskit®, a quantum information science toolkit, and its constituent packages such as Terra, Aer, Ignis, and Aqua. You’ll cover these packages in detail, exploring their benefits and use cases. Later, you’ll discover various quantum gates that Qiskit® offers and even deconstruct a quantum program with their help, before going on to compare Noisy Intermediate-Scale Quantum (NISQ) and Universal Fault-Tolerant quantum computing using simulators and actual hardware. Finally, you’ll explore quantum algorithms and understand how they differ from classical algorithms, along with learning how to use pre-packaged algorithms in Qiskit® Aqua. By the end of this quantum computing book, you’ll be able to build and execute your own quantum programs using IBM Quantum Experience® and Qiskit® with Python.
Table of Contents (12 chapters)

Searching with a three qubit Grover

The 3-qubit Grover algorithm is very similar to the two qubit implementation that we explored in the previous recipe. The main difference is in how we build the oracle circuit for three instead of two qubits, building a phase kickback that adds the phase to two qubits instead of one.

To do this, we have to use a controlled-NOT gate that uses two qubits as input to flip the third to entangle the qubits and mark the correct answer with a phase. That gate is the Toffoli (CCX) gate instead of the CX gate.

In the following example, the two qubit input Toffoli gate (CCX) with 2 controlling qubits and 1 controlled qubit serves as the phase kickback that shifts the phase of the state by if the value of the three qubits matches the correct answer:

Figure 9.22 – A CCX-driven oracle for

Figure 9.22 – A CCX-driven oracle for

We will be using the same sample functions as in The Grover search algorithm recipe.

How to do it...

To create a three qubit...