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

You're reading from   Quantum Computing in Practice with Qiskit® and IBM Quantum Experience® Practical recipes for quantum computer coding at the gate and algorithm level with Python

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Product type Paperback
Published in Nov 2020
Publisher Packt
ISBN-13 9781838828448
Length 408 pages
Edition 1st Edition
Languages
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Author (1):
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Hassi Norlen Hassi Norlen
Author Profile Icon Hassi Norlen
Hassi Norlen
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Table of Contents (12) Chapters Close

Preface 1. Chapter 1: Preparing Your Environment 2. Chapter 2: Quantum Computing and Qubits with Python FREE CHAPTER 3. Chapter 3: IBM Quantum Experience® – Quantum Drag and Drop 4. Chapter 4: Starting at the Ground Level with Terra 5. Chapter 5: Touring the IBM Quantum® Hardware with Qiskit® 6. Chapter 6: Understanding the Qiskit® Gate Library 7. Chapter 7: Simulating Quantum Computers with Aer 8. Chapter 8: Cleaning Up Your Quantum Act with Ignis 9. Chapter 9: Grover's Search Algorithm 10. Chapter 10: Getting to Know Algorithms with Aqua 11. Other Books You May Enjoy

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...

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