Quantifying topological phases with quantum information theory

Quantifying topological phases with quantum information theory

Seminar author:Alonso Viladomat

Event date and time:10/07/2021 04:00:pm

Event location:https://us02web.zoom.us/j/87100620331?pwd=UGpqZHBMTFEzS3g1ZlVkRSsvMVVvdz09

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Topologically ordered systems, such as Kitaev’s toric code or the fractional quantum Hall effect have drawn the attention of many researchers due to their striking physical properties and potential technological applications. Yet, there is no precise theory that manages to characterize them fully. Topological states of matter cannot be described with standard theories of phase transitions, imposing a challenge not only theoretically but also in their experimental implementation and characterization. We are going to take a novel view on the concept of topological order through the lens of quantum channel theory. Exploiting the usual intuitive notion of resilience of topological systems against environmental perturbations the concept of coherent information from quantum information theory is explored in an attempt of defining a quantifier for topological order.