Oxford Quantum Club

for high school students

Entrance assignment

We ask you to complete this COMPOS assignment from a past academic year. This will give you a background on complex numbers, which is necessary to understand quantum mechanics.

We do not expect you to solve all problems, but please do your best. We hope to be able to admit all students who performed reasonably well (the exact cutoff mark to be determined).

You are welcome to use AI as your tutor to help you understand the material, but, needless to say, you must not ask it to solve the problems for you. We appreciate that cheating is easy with AI, but ask yourself, how will it benefit you? The Club programme requires as much work throughout the year as does the first assignment, and involves even more complicated mathematics. Even if you are admitted to the Club, you will not be able to follow the course and likely drop out, just having wasted your and our time.

Your solutions must be written neatly so we can follow your logic. Otherwise we will not be able to credit your work even if it shows a correct final answer.

Please email your work by midnight 11 October to Alex.Lvovsky@physics.ox.ac.uk, including your solutions as attachments. The subject of your email must be Quantum Club Entrance Test. This exact wording is important, otherwise your email may be missed by an automatic sorter. The email must come from the same address you registered with.

Good luck!