Classification of nonproduct states with maximum stabilizer dimension
Classification of nonproduct states with maximum stabilizer dimension
复制标题
具有最大稳定器尺寸的非产品状态分类
DOI：
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发表时间：
2007
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通讯作者：
Stephanie A. Blanda
中科院分区：
文献类型：
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作者：
David W. Lyons;S. Walck;Stephanie A. Blanda
对于 n{>=}3、n{ne}4，具有局部酉变换群的最大维数稳定子群的非积 n 量子位纯态正是广义 n 量子位 Greenberger-Horne-Zeilinger 态及其局部酉等价物。我们描述了这些状态的稳定子群的李代数。对于 n=4，有一个额外的最大稳定子代数，而不是与前者等价的局部酉代数。我们也为具有这种稳定器的状态提供了规范形式。
Nonproduct n-qubit pure states with maximum dimensional stabilizer subgroups of the group of local unitary transformations are precisely the generalized n-qubit Greenberger-Horne-Zeilinger states and their local unitary equivalents, for n{>=}3, n{ne}4. We characterize the Lie algebra of the stabilizer subgroup for these states. For n=4, there is an additional maximal stabilizer subalgebra, not local unitary equivalent to the former. We give a canonical form for states with this stabilizer as well.