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Explore the fascinating world of absolutely maximally entangled (AME) states in this 48-minute colloquium lecture delivered by Andrzej Grudka from Adam Mickiewicz University. Discover how these special multipartite quantum states achieve maximum entanglement across every possible bipartition and learn about their crucial applications in quantum communication and holographic quantum error-correcting codes that serve as toy models for the AdS/CFT correspondence. Examine the intricate relationship between AME states and quantum error correction codes, including methods for identifying stabilizers and logical operators corresponding to such codes. Delve into the practical application of these methods to code concatenation and understand its connection to entanglement swapping. Investigate how AME states behave when transmitted through various quantum channels, including depolarizing and dephasing channels, with particular focus on analyzing how entanglement amounts are affected across different bipartitions of the transmitted states.
