Into Quantum

Into Quantum

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

Learn about all the important Phase gates used in Quantum algorithms in this lesson.

Dr. Ashish Bamania's avatar
Dr. Ashish Bamania
May 19, 2025
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We discussed the Identity, Pauli, and Hadamard gates in last week's lesson.

This week, we will move forward and learn about Phase gates.


In case you missed the previous lessons on Quantum gates, here are the links for them:

A Deep Dive Into The Mathematics Of Quantum Gates

A Deep Dive Into The Mathematics Of Quantum Gates

Dr. Ashish Bamania
·
April 13, 2025
Read full story
A Lesson On Pauli Matrices As Quantum Gates

A Lesson On Pauli Matrices As Quantum Gates

Dr. Ashish Bamania
·
April 25, 2025
Read full story
A Lesson On Single-Qubit Quantum Gates (Part 1)

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

Dr. Ashish Bamania
·
May 13, 2025
Read full story

Let’s get started!


4. Phase Gates

These are quantum gates that act to change the phase of a qubit’s state without changing its probabilities.

These gates apply a relative phase shift to the qubit's state.

The general form of a phase gate is represented by the following matrix:

This tells that a phase gate applies a phase e^(iθ) to |1> component of a qubit, while leaving the |0> component unchanged.

The following phase gates are important to know about:

  1. Z gate

  2. S gate

  3. S† gate

  4. T gate

  5. T† gate


Z gate

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