无限维多体量子系统量子态的LPP纠缠判据

摘要

给出了无限维n-体量子系统量子态全可分的一个充要条件:系统H=H1(×)H2(×)…(×)Hn上的量子态ρ是全可分的当且仅当(I1(×)(∧))ρ≥0对所有完全有界的LPP映射(∧)成立.其中LPP映射(∧):B(H2(×)…(×)Hn)→B(H1)是指积态上的正线性映射.%In this papar, a necessary-sufficient condition of fully separble n-partite quantum state is proposed for infinite-dimensional: the n-partite state ρ acting on H=H1(×)H2(×)…(×)Hn isrnfully separable if and only if (I1(×)(∧))ρ≥0 holds for all LPP map (∧), where (∧) :B( H2(×)…(×)Hn)→B (H1) is the linear map positive on product states(LPP).