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Abstract: I will review a recent progress on defining a universal
measure of quantum complexity based on the so-called Krylov basis. In
particular, after introducing some of the Krylov basis techniques, I
will discuss the “Spread Complexity” measure for quantum states and its
main properties. The talk will be based on:
https://arxiv.org/abs/2202.06957
https://arxiv.org/abs/2109.03824