CRM: Centro De Giorgi
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Quantum Information and Many-Body Quantum Systems

seminar: Topology induced singular behavior of entanglement

speaker: Daniel Cavalcanti (ICFO-Institute of Photonic Sciences)

abstract: Entanglement - purely quantum correlations - plays a crucial role in various physical processes such as quantum phase transitions and quantum many-particle phenomena. Interestingly, entanglement is tightly linked to geometry. For instance, many of the recent attempts to quantify quantum correlations are based on the definition of some distance between entangled states and the set of classically correlated states. However, despite the clear topological character of entanglement, completely understanding what are its implications, both to quantum information science and to condensed matter physics, is a challenging task. In this contribution, we develop a general approach to investigate the effects of geometry on entanglement. We show that the non-trivial shape of the boundary of the classically correlated states' set - which is shown to exhibit singularities - induces a singular behavior of entanglement in natural physical processes, ranging from decoherence dynamics to spin-chains-ground-state properties. An experiment with linear optics is implemented to simulate this effect and verify our predictions.


timetable:
Thu 29 Mar, 11:20 - 11:50, Aula Dini
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