Lossless Decoupling of Entanglement of Assistance in Tripartite Quantum Systems
The theory of tensor products of Hilbert spaces is the mathematical frame-work of multipartite quantum systems.The lossless decoupling of quantum entangle-ment in multipartite systems is one of the hot topics of current quantum information and computing theory.One always wants to know under what conditions multipartite entanglement can be losslessly decoupled.Existed known lossless decoupling conditions are obtained in the case of three-qubit systems.In the paper,we devote to extending the above entanglement lossless decoupling conclusions into more general tripartite sys-tems.We prove that for some 2⊗2⊗3 and 2⊗2⊗4 pure states,the lossless decoupling can be realized.