Embezzlement of Entanglement in Quantum Information Systems

Join a seminar lecture exploring the fascinating concept of entanglement embezzlement in quantum information theory, delivered by Professor Vern Paulsen from the University of Waterloo. Delve into Van Dam and Haydon's groundbreaking work on catalytic entanglement production, examining why it fails in the tensor model yet can appear successful within error margins. Learn about the successful implementation in the commuting model, demonstrated through work with R. Cleve and L. Liu, utilizing L. Brown's non-commuting unitary C*-algebra and its connection to the quantum group U_n^+. Discover how S. Harris linked these concepts to Connes' Embedding Problem (CEP), leading to the development of unitary correlation sets parallel to Tsirelson's problems. Explore recent developments in universal embezzlement and the necessity of type III-1 factors in catalytic state production.