46 citations · 61 across the 4 of their papers we have counts for
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Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity
Dimitrios Patramanis, Watse Sybesma
In this work we study the relationship between quantum random walks on graphs and Krylov/spread complexity. We show that the latter's definition naturally emerges through a canonic…
Krylov complexity of modular Hamiltonian evolution
Pawel Caputa, Javier M. Magan, Dimitrios Patramanis +1
We investigate the complexity of states and operators evolved with the modular Hamiltonian by using the Krylov basis. In the first part, we formulate the problem for states and ana…
Virasoro Entanglement Berry Phases
Jan de Boer, Ricardo Espíndola, Bahman Najian +3
We study the parallel transport of modular Hamiltonians encoding entanglement properties of a state. In the case of 2d CFT, we consider a change of state through action with a suit…
Probing the entanglement of operator growth
Dimitrios Patramanis
In this work we probe the operator growth for systems with Lie symmetry using tools from quantum information. Namely, we investigate the Krylov complexity, entanglement negativity,…
Geometry of Krylov Complexity
Pawel Caputa, Javier M. Magan, Dimitrios Patramanis
We develop a geometric approach to operator growth and Krylov complexity in many-body quantum systems governed by symmetries. We start by showing a direct link between a unitary ev…