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    Architecture dependence in the many-body entanglement structure of local quantum circuits
    (Universidad del Valle, 2025) Valencia Fonseca, Andrés Felipe; Madronero, Javier
    This work studies the architecture dependence on the entanglement structure in quantum circuits with at most two-qubit local gates, using the minimal cut formalism [1]. In the first stage, a cut growth model is developed to establish a classical upper bound for the estimation of Rényi entropies in random Clifford circuits [2]. Subsequently, an original graph-based computational algorithm proposed by the author is developed to efficiently compute minimal cuts in local quantum circuits, and numerical simulations are carried out to compare these results with those obtained through the direct calculation of Rényi entropies. A consistent numerical correspondence is observed between both approaches, which validates the minimal cut as an efficient method for characterizing entanglement dynamics and for recovering the characteristic fluctuations of the Kardar–Parisi–Zhang (KPZ) universality class. The results show that the dependence on architecture is reflected in the saturation scale of entanglement, which is reached in circuits whose area grows proportionally to the cube of the number of qubits. In this way, a scaling law is established that links the geometry of the circuit with the efficiency of entanglement generation. Overall, the study presented here contributes to a deeper understanding of the generic behavior of entanglement in quantum many-body systems.