Quantum circuit complexity usually refers to the minimum number of elementary unitary gates needed to prepare a given many-body state. In this seminar, I will first review this concept with a particular focus on the geometric approach to circuit complexity introduced by Nielsen and briefly comment on its role in the holographic duality. Then I will present recent results in the context of spin chains showing that the complexity can be used to diagnose non-equilibrium quantum phase transitions in Floquet systems.
Dr. Giancarlo Camilo obtained his B.Sc. (2010) and M.Sc. (2013) degrees from the Federal University of Itajuba, Brazil, and a Ph.D. from the University of São Paulo, Brazil (2017), after which he joined the International Institute of Physics (IIP-UFRN) in Natal, Brazil as a postdoc.
His research interests lie at the interface between non-equilibrium quantum dynamics, quantum information theory, and high energy physics, including the holographic duality, lattice models, and quantum field theories in a broad sense.
Here is the Zoom link if you prefer to join us remotely:
https://zoom.com.cn/j/99833702680
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