Holo Club: Explicit Connections Between Krylov and Nielsen Complexity
Gray Room 3 Instituto de Física Teórica (IFT) -C. Nicolás Cabrera, 13-15, Fuencarral-El Pardo, Madrid, SpainSpeaker: Le-Chen Qu (IFT) Venue&Time: Grey Room 3 / 11:30 Abstract: We establish a precise correspondence between Krylov complexity and Nielsen complexity in quantum many-body systems. By identifying the Krylov basis with the generators of elementary gates in Nielsen's geometric framework, the Krylov complexity of precursor operators acquires a geometric interpretation as the length of […]