Post-Quantum Cryptography Reflection

In class we discussed some of the basics of post-quantum cryptography. Please reflect on the following prompts, giving your personal understanding of the material. The book has a good overview of this material. If you choose to use AI to help you with this, please acknowledge this. I am not looking for a summary of the PQC material - I can find that on Wikipedia. I am looking for your intellectual understanding of it. To receive credit, your reflection must include at least one personal connection to something you previously knew, or something that has piqued your interest, or even parts of this material that are confusing or not easy for you to understand. An AI can summarize the material but it cannot articulate your personal evolution as a student in this class!
  1. Discuss why we need post-quantum cryptography, along with the difference between post-quantum cryptography and quantum cryptography. Your discussion should include the significance of Shor's Algorithm and Grover's Algorithm.
  2. Discuss a (small) example of the LWE problem and indicate why this is a good problem to use for PQC.
  3. Discuss any concerns you have about PQC. These could include understanding the approaches, or implementation of the approaches, or something different.
Your reflections should be written in complete sentences. You may use a grammar or spell checking tool to improve your writing/check synatx.