自适应算子表示：量子网络的选择性与集体性
Adapted-operator representations: Selective versus collective properties of quantum networks
摘要：
基于作用在n维希尔伯特空间上的局域幺正算符，我们研究了N粒子量子网络的选择和集体算符基组。选择性簇算子用于导出任意n和N的一般猫态的性质。集合算子可以方便地用来解释置换对称性：相应的希尔伯特空间维数在N中是多项式，并受强选择规则的支配。这些选择规则可以被利用的消相干自由子空间的设计，以及用于实施有效的路线纠缠，如果不同的对称类的状态之间的暂停切换可以实现。
英文摘要：
Based on local unitary operators acting on a n-dimensional Hilbert-space, we investigate selective and collective operator basis sets for N-particle quantum networks. Selective cluster operators are used to derive the properties of general cat-states for any n and N. Collective operators are conveniently used to account for permutation symmetry: The respective Hilbert-space dimension is then only polynomial in N and governed by strong selection rules. These selection rules can be exploited for the design of decoherence-free subspaces as well as for the implementation of efficient routes to entanglement if suspended switching between states of different symmetry classes could be realized.
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