三体量子系统辅助纠缠的无损解耦

Lossless Decoupling of Entanglement of Assistance in Tripartite Quantum Systems

Hilbert空间及其张量理论是多体量子系统的数学框架.多体系统量子纠缠的无损解耦问题是当前量子信息与计算理论的前沿课题之一.这一课题主要研究的是在何种条件下多体纠缠是可以被无损解耦的,目前已知的无损解耦条件是在三量子比特系统情形获得的.本文主要是推广以上纠缠无损解耦结论于更一般的三体系统,证明了对于某些满足特定条件的2■2■3和2■2■4系统上的纯态,可以实现无损解耦.

The theory of tensor products of Hilbert spaces is the mathematical framework of multipartite quantum systems.The lossless decoupling of quantum entanglement 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 systems.We prove that for some 2■2■3 and 2■2■4 pure states,the lossless decoupling can be realized.