We present an explicit, fully local Reeh-Schlieder approximation scheme for coherent states of a free scalar field. For any bounded region U, we construct a one-parameter family of bounded operators A^ζ localized in the causal complement of U. The action of A^ζ on the vacuum approximates the target coherent state in the limit ζ→0.
Reeh-Schlieder approximation for coherent states
