Last week, during my vacation, I attended a research summer school in Amsterdam on QA and QEC. I found it quite interesting and informative. One main takeaway was the characterisation of a quantum computer as "a machine that most of the time performs quantum error correction and then a little bit of computation". Even if crypto-relevant quantum computers somehow never see the light of day, the mathematics involved is already quite interesting to me: primarily the construction of good quantum error-correcting codes, recent advances in quantum algorithm design via span programs, and the development of Quantum Linear Algebra and its applications.

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