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We derive exact formulas for bipartite von Neumann entanglement entropy after partial projective local measurement in (1+1) -dimensional conformal field theories with periodic and open boundary conditions. After defining the setup we will check numerically the validity of our results in the case of Klein-Gordon field theory (coupled harmonic oscillators) and spin-1/2 XX chain in a magnetic field. The agreement between analytical results and the numerical calculations is very good. We also find a lower bound for localizable entanglement in coupled harmonic oscillators.
M. A. Rajabpour (Wed,) studied this question.