Weekly Challenge: 5 Exercises For The Quantum Mind

Can you solve these five questions well by hand?

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The aim of Into Quantum has always been to teach Quantum Computing from the very basic mathematics in an easy to understand way.

If you’ve been following each week’s lesson in the publication from the beginning, you must have learned a good amount of Quantum Computing by now.

Let’s get back to basics this week.

Before we dive into multi-qubit quantum gates, advanced quantum circuits, and quantum algorithms in future lessons, we need to make sure our foundations are rock solid.

So instead of another lesson, I’m giving you a challenge.

I want you to work through five problems completely by hand. No calculators, no AI assistance.

Think of this as your quantum fundamentals workout.

Ready? Here are the problems.

Problem 1

The Pauli-X gate acts as a quantum NOT gate and functions to flip a qubit state.

The following matrix represents it:

Apply this gate to a qubit in state |0⟩ and a qubit in state |1⟩.