Seminar by Paolo Zanardi (U. of Southern California)

We will speculate on the novel concept of mereological quantum phase transition (m-QPTs). Our framework is based on generalized tensor product structures (g-TPS), a parameter-dependent Hamiltonian, and a quantum scrambling functional. By minimizing the scrambling functional, one selects a g-TPS, enabling a pullback of the natural information-geometric metric on the g-TPS manifold to the parameter space. The singularities of this induced metric in the thermodynamic limit characterize the m-QPTs. We will illustrate this framework through analytical examples involving quantum coherence and operator entanglement Ref: https://arxiv.org/abs/2510.06389 <https://arxiv.org/abs/2510.06389>