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Lesson 12

Qubits and Optimisation

1. ACCESS PRIOR KNOWLEDGE



Watch the following episode of ‘The Universe – Microscopic Universe (watching up to 28 minutes) prior to the lesson. Fill in the Quantum Glossary while viewing the video to consolidate your understanding of the principles of Quantum Mechanics.


You will be expected to understand these terms in Lessons 12-15 as your understanding of Quantum Computing develops


2. GOAL



To

  • compare the similarities and differences between bits and qubits
  • explain the concept of computer optimisation 
  • discover how this can be applied to quantum computing in order to solve complex problems.

3. NEW INFORMATION



Play the following clips:


Write summary notes whilst watching the above videos that address the following guiding questions:


1.     How computers work?

2.     What is a bit and how is it applied in    computing?

3.     How do quantum systems represent             information?

4.     How are qubits applied in a             quantum system?

5.     What happens if you try to measure or observe a qubit? 

4. APPLICATION TASK



Using your glossary definitions  and the notes taken addressing the guiding questions from earlier,  Work in small groups to compare the similarities and differences between bits and qubits. The two must be compared in terms of examples of how they can be represented, how they can be applied in computing, and any limitations to their use.

Present your findings in the form of an A4 ‘Compare and Contrast’ Poster.


5. NEW INFORMATION



Play the following clip: (from 20-33 mins)


Write summary notes whilst watching the  video which addresses the following guiding questions:


6.     How are prime numbers used to encrypt codes online?

7.     Why it is so hard to break an RSA algorithm?

8.     How was  the quantum processor featured in the video used to find the prime factors of 15?


Summarise the Qubits and Optimisation presentation  in your workbook.

6. APPLICATION TASK



Explore the concept of computer optimisation and how this can be applied to solve complex problems in quantum computing by completing the attached Optimisation Activity.


This resource can be used as a classroom activity or an assignment. 

7. GOAL REVISITED


As a group, contribute your findings for the comparison of bits and qubits during a whole class discussion and share with the class your optimisation along with the results of their optimisation problem activities.

8. EXTENSION ACTIVITY - OPTIONAL


 The following additional information takes a more in depth look at the mathematics behind representing qubit computation using probablity functions.Complete the following additional reading and view the videos. Please note that this content utilises mathematical content taught at University level.  However real world examples are also used to explain qubit processing.



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