Local unitary invariants of generic multiqubit states
Local unitary invariants of generic multiqubit states
复制标题
通用多量子位状态的局部酉不变量
DOI：
10.1103/physreva.92.022306
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发表时间：
2015-08-04
影响因子：
2.9
通讯作者：
Zhang, Tinggui
中科院分区：
文献类型：
--
作者：
Jing, Naihuan;Fei, Shao-Ming;Zhang, Tinggui
我们给出了一般多量子比特系统的一整套局域幺正不变量，它为两个态是局域幺正等价提供了充分必要条件。这些不变量是关于量子态的广义布洛赫表示的规范多项式函数。特别地，我们证明了对于两量子比特态最多有12个多项式局域幺正不变量，对于三量子比特态最多有90个多项式。对于两量子比特系统，我们与马赫林的18个局域幺正不变量进行了比较。
We present a complete set of local unitary invariants for generic multi-qubit systems which gives necessary and sufficient conditions for two states being local unitary equivalent. These invariants are canonical polynomial functions in terms of the generalized Bloch representation of the quantum states. In particular, we prove that there are at most 12 polynomial local unitary invariants for two-qubit states and at most 90 polynomials for three-qubit states. Comparison with Makhlin's 18 local unitary invariants is given for two-quibit systems.