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Accueil > Rubrique hors menu > Événements > Actualités

Séminaire

2012

Séminaire LPMMC

Alioscia Hamma
Title: Quantum complexity, scrambling and black holes
Lieu : Visio-conférence (https://webconf.math.cnrs.fr/b/ros-wfz-jt4),
le mercredi 16 septembre 2020 à 15h30
Personne à contacter : Vincent Rossetto ()

What makes a quantum evolution complex? Can this complexity be characterized by (entanglement) Entropy? We argue that entropy is not just a number but there is a complexity of entanglement arising from a quantum evolution. Quantum complexity is connected to scrambling and the thermal behavior of black holes. We show that entanglement complexity is connected to the impossibility of realizing a unitary entropy pump (i.e., a freezer). We also study the transitions in complexity due to the doping of a quantum circuit by universal gates and show that the transition to complex entanglement can be obtained by just a single gate. Finally, we present a toy model for the realization of the fast scrambling conjecture as a model for a black hole.