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Holographic properties of Chern-Simons states and quantum information

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BLHW03 - Bridges between holographic quantum information and quantum gravity

Abstract: In this talk I will introduce a class of quantum states in topological quantum field theories (TQFT) with properties analogous to classical geometries in holography. These states will be used to discuss quantum entanglement: classification, inequalities for entanglement entropies and similar measures, in parallel to known holographic results. Developing upon the TQFT realization of quantum mechanics I will sketch a topological approach to construction of quantum algorithms and protocols, focusing on an example of quantum error correction.

This talk is part of the Isaac Newton Institute Seminar Series series.

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