非平凡向量空间稳定子的刻划

Description of Stabilizer to Non-trivial Vector Space

利用Pauli群的子群可成为非平凡向量空间的稳定子的充要条件,刻划了Pauli群G1的子群能成为非平凡向量空间VS稳定子的所有稳定子,并由此得到对于Pauli群Gn而言,构成非平凡向量空间VS稳定子的生成元中算子的性质。

All stabilizers of non-trivial vector space Vs is described as the subgroups of Pauli group G1 by the necessary and sufficient condition that the subgroups of Pauli group become stabilizers, and the operator property of the generating elements of stabilizers is discussed.