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I will discuss two new notions in the context of quantum information
processing perspective on high energy physics, temporal entanglement and
Krylov complexity, from the point of view of their dual gravitational
interpretation. Based on 2412.17785 (PRL) with Papalini and Schuhmann
and 2408.15752 (PRL) and 2507.17847 (PRX in press) with Ori and
Serantes.