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Into Quantum
Into Quantum
Build A Quantum Circuit Using Single-Qubit Quantum Gates With Qiskit

Build A Quantum Circuit Using Single-Qubit Quantum Gates With Qiskit

Learn to manipulate qubits using single-qubit quantum gates in this lesson.

Dr. Ashish Bamania's avatar
Dr. Ashish Bamania
Jun 05, 2025
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Into Quantum
Into Quantum
Build A Quantum Circuit Using Single-Qubit Quantum Gates With Qiskit
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In the last few weeks’ lessons, we learned all about single-qubit quantum gates.

If you missed these lessons, they can be found here:

A Lesson On Single-Qubit Quantum Gates (Part 1)

A Lesson On Single-Qubit Quantum Gates (Part 1)

Dr. Ashish Bamania
·
May 13
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A Lesson On Single-Qubit Quantum Gates (Part 2)

A Lesson On Single-Qubit Quantum Gates (Part 2)

Dr. Ashish Bamania
·
May 19
Read full story
A Lesson On Single-Qubit Quantum Gates (Part 3)

A Lesson On Single-Qubit Quantum Gates (Part 3)

Dr. Ashish Bamania
·
May 26
Read full story

This week’s lesson is a practical guide to using these single-qubit quantum gates to build a quantum circuit, using IBM Qiskit.


Building The Quantum Circuit

Our first Quantum circuit looks like this:

It’s a combination of the following two gates:

  • Hadamard gate (H): creates an equal superposition state between |0⟩ and |1>

  • T gate: introduces a 45° phase difference between |0⟩ and |1>

Let’s learn to do the calculations by hand before we program them.

We start with a qubit |0>:

The H gate is as follows:


Step 1: Applying H Gate to |0>

This creates an equal superposition state of |0> and |1>.


Step 2: Applying the T Gate

The T gate is as follows:

When we apply this gate to the previous result, the following result is obtained:


Step 3: Applying the H gate again

When the Hadamard gate is applied to the previous result, we get the following:

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