纠缠态判据与高阶张量可分性的充分必要条件

[Objective] Finding necessary and sufficient conditions of separability of a pure quantum state or a higher-order tensors . [Methods] Analogic reasoning and inductive reasoning. Starting with necessary and sufficient condition of separability of multivariable functions, proving the general by properties of matrices cofactors.[Results] The theorm and its severl equivalent forms will be proved.[Limitations]Not valid in mixed states cases.[Conclusions] Necessary and sufficient conditions of a pure state is entangle state. " "