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Explore measurement-induced entanglement between quantum spin chains through a boundary conformal field theory approach in this theoretical physics lecture. Delve into the many-body version of "entanglement swapping" where Bell-state measurements create entanglement between two critical spin chains that were initially in independent ground states. Learn how conformal boundary conditions in replicated field theory describe these measurements and discover that the resulting swapped entanglement exhibits logarithmic scaling with universal coefficients determined by boundary condition changing operators. Examine the application of this framework to the critical spin-1/2 XXZ chain, where boundary CFT analysis determines universal coefficients that are subsequently verified through numerical calculations, providing insights into quantum many-body systems and measurement-induced phenomena in condensed matter physics.
