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A Lesson On How Pauli Matrices Are Used To Measure Spin Of Quantum Systems
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A Lesson On How Pauli Matrices Are Used To Measure Spin Of Quantum Systems

Learning from Pauli Matrices as Spin Operators from the ground up

Dr. Ashish Bamania's avatar
Dr. Ashish Bamania
May 05, 2025
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Into Quantum
Into Quantum
A Lesson On How Pauli Matrices Are Used To Measure Spin Of Quantum Systems
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A 1924 photograph of Werner Heisenberg, a theoretical physicist and Nobel laureate who pioneered quantum mechanics, introduced the uncertainty principle, and developed the Heisenberg model of magnetism, which describes how quantum spins interact to produce magnetic properties (Source)

In the last lessons, we learned about the mathematics behind Pauli matrices and how they are used as Quantum gates.


You can check out these lessons if you missed them before starting with this one.

A Deep Dive Into The Mathematics Of Pauli Matrices

A Deep Dive Into The Mathematics Of Pauli Matrices

Dr. Ashish Bamania
·
Apr 19
Read full story
A Lesson On Pauli Matrices As Quantum Gates

A Lesson On Pauli Matrices As Quantum Gates

Dr. Ashish Bamania
·
Apr 25
Read full story

If you’re new to Pauli matrices, they are a set of three matrices termed:

  • Pauli-X (σ(x) or σ(1))

  • Pauli-Y (σ(y) or σ(2)), and

  • Pauli-Z (σ(z) or σ(3))

as shown below:

This is a lesson where we discuss how they are used in Quantum mechanics as spin operators.

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