\input zb-basic \input zb-ioport \iteman{io-port 06066148} \itemau{Selinger, Peter} \itemti{Finite dimensional Hilbert spaces are complete for dagger compact closed categories.} \itemso{Log. Methods Comput. Sci. 8, No. 3, Paper No. 6, 12 p., electronic only (2012).} \itemab Summary: We show that an equation follows from the axioms of dagger compact closed categories if and only if it holds in finite-dimensional Hilbert spaces. \itemrv{~} \itemcc{} \itemut{dagger compact closed categories; Hilbert spaces; completeness} \itemli{doi:10.2168/LMCS-8(3:6)2012} \end