We evaluate analytically the quantum discord for a large family of multiqubit states. It is interesting to note that the quantum discord of three qubits and five qubits is the same, as is the quantum discord of two qubits and six qubits. We discover that the quantum discord of this family of states can be classified into three categories. The level surfaces of the quantum discord in the three categories are shown through images. Furthermore, we investigated the dynamic behavior of quantum discord under decoherence. For the odd partite systems, we prove the frozen phenomenon of quantum discord does not exist under the phase flip channel, while it can be found in the even partite systems.

中文翻译：

---

多量子位系统的量子不和谐

我们分析评估了大量多量子位状态的量子不和谐。有趣的是，三个量子位和五个量子位的量子不和谐是相同的，两个量子位和六个量子位的量子不和谐也是如此。我们发现这个状态族的量子不和谐可以分为三类。三类量子不和谐的水平面通过图像显示。此外，我们研究了退相干下量子不和谐的动态行为。对于奇数部分系统，我们证明了在相位翻转通道下不存在量子不和谐的冻结现象，而在偶数部分系统中可以发现它。