Speakers: Johann Chevrier (IMB)

Entanglement is a fundamental feature of quantum mechanics and a key resource in quantum information <a href="http://theory. 
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In »>theory. 
In this talk, I will give a self-contained introduction to quantum entanglement, starting from the minimal postulates of quantum mechanics needed to define quantum states, measurements, and composite <a href="http://systems.
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I will explain why composite quantum systems are described by tensor products of Hilbert spaces and how this naturally leads to the notion of entanglement for pure states.
I will then introduce local operations as a way to compare and classify entangled states, focusing on local unitaries (LU) and local operations and classical communication (LOCC).
In the bipartite pure-state setting, I will show how the Schmidt decomposition provides a complete classification under LU and constrains possible LOCC <a href="http://transformations.
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Finally, I will briefly discuss the multipartite case, where entanglement exhibits a much richer structure and many classification problems remain <a href="http://open.

https://indico.math.cnrs.fr/event/16003/ » target= »_blank » title= »open.

https://indico.math.cnrs.fr/event/16003/ »>open.

https://indico.math.cnrs.fr/event/16003/