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hep-th2026
On the commuting charges and the Bethe ansatz for the quantised Kadomtsev-Petviashvili equation
Chiara Paletta, Alessandro Torrielli
We study the quantised version of the Kadomtsev-Petviashvili equation in the formulation proposed in [4]. We analyse two aspects. One is the conservation of the first higher charge…
math-ph2026
Open-boundary integrable quantum circuits with different geometries
Miguel García Fernández, Chiara Paletta, Ana L. Retore
We present a complete classification of integrable Yang-Baxter quantum circuits with open boundary conditions and arbitrary circuit geometries. Starting from the standard transfer-…
math-ph2026
On the integrability structure of the deformed rule-54 reversible cellular automaton
Chiara Paletta, Tomaž Prosen
We study quantum and stochastic deformations of the rule-54 reversible cellular automaton (RCA54) on a 1+1-dimensional spatiotemporal lattice, focusing on their integrability struc…