Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China.
State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, P. R. China.
Sci Rep. 2017 May 16;7(1):1946. doi: 10.1038/s41598-017-02066-8.
By introducing an arbitrary-dimensional multipartite entanglement measure, which is defined in terms of the reduced density matrices corresponding to all possible two partitions of the entire system, we prove that multipartite entanglement cannot be freely shared among the parties in both n-qubit systems and three-qutrit systems. Furthermore, our result implies that the satisfaction of the entanglement monogamy is related to the number of particles in the quantum system. As an application of three-qutrit monogamy inequality, we give a condition for the separability of a class of two-qutrit mixed states in a 3 ⊗ 3 system.
通过引入一种任意维的多体纠缠度量，该度量是根据整个系统的所有可能的两个分区的约化密度矩阵来定义的，我们证明了在 n 量子位系统和三量子位系统中，多体纠缠不能在各方之间自由共享。此外，我们的结果表明，满足纠缠单配性与量子系统中的粒子数有关。作为三体单配不等式的一个应用，我们给出了在 3⊗3 系统中一类两量子位混合态的可分离性的条件。
