负值量子条件熵与双量子系统一类混合态纠缠量度

Negative quantum conditional entropy and the entanglement measure of a kind of mixed state of bipartite quantum system

运用负值量子条件熵研究了双量子系统一类混合态的纠缠量度.给出了负值量子条件作为条件熵纠缠度的定义,证明了条件熵纠缠满足作为2×2系统一类混合纠缠态量度的四个基本条件.当双量子系统处于纯态时,条件熵纠缠度即为部分熵纠缠度.应用条件熵纠缠度研究了真空腔场中两全同二能级原子之间纯态和一类混合态纠缠的时间演化,比较了相同条件下两全同原子系统concurrence纠缠度的时间演化.结果表明,两纠缠度演化规律完全一致,验证了负值量子条件熵可以作为双量子系统纯态和一类混合态的纠缠量度.

From negative quantum conditional entropy point of view this paper intestigates the entanglement measure of the prue state and a kind of mixed state of bipartite quantum system. Also this paper gives a definition of quantum conditional entropy of entanglement EAIB （pAB） and proves that it satisfies the four fundamental conditions of a entanglement measure for a kind of mixed state of 2 x 2 quantum system by this negative quantum conditional entropy Using conditional entropy of entanglement, this paper investigates the quantum entanglement between the two identical two-level atoms simultaneously interacting with vacuum cavity field as an application. This paper compares conditional entropy of entanglement and concurrence at the same condition, and the result shows that the curves of their evolvements are identical. These obtained results test and verifys that conditions of an entanglement measure may be taken as the entanglement measure of the prue state and a kind of mixed state of bipartite quantum system.