Symmetric states: local unitary equivalence via stabilizers
Symmetric states: local unitary equivalence via stabilizers
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对称态：通过稳定器的局部酉等价
DOI：
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发表时间：
2010
影响因子：
1
通讯作者：
S. Walck
中科院分区：
文献类型：
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作者：
Curt D. Cenci;David W. Lyons;Laura M. Snyder;S. Walck
通过局部酉稳定子群的分类，对对称态的局部酉等价类进行了分类。对于局部酉稳定群具有正数连续自由度的状态，分类是穷举的。证明了无连续自由度的局部酉稳定群与旋转群SO(3)的有限子群是同构的，并给出了具有离散稳定群的状态的例子。
We classify local unitary equivalence classes of symmetric states via a classification of their local unitary stabilizer subgroups. For states whose local unitary stabilizer groups have a positive number of continuous degrees of freedom, the classification is exhaustive. We show that local unitary stabilizer groups with no continuous degrees of freedom are isomorphic to finite subgroups of the rotation group SO(3), and give examples of states with discrete stabilizers.